Entrance Preparation Questions +2

These Questions Best For Advanced Science, Entrance Preparation. ( You already possess and prepare you to equip yourself to face successfully the entrance exams of various reputed college in the country.

Choose correct answer

English

1. You can read (paper ,a paper).

2. I have not got (any paper ,a paper )to write a letter.

3. She has given me (advice ,advices )

4. They told us some (informations, information).

5. It’s very difficult to find a (work ,job )to be employed .

6. Some (bread, breads ) can be sold .

7. Bad news (comes ,come) everyday.

8. My hair (is , are )too long .

9. There is (a hair, hair ) on your dinner plate.

10. Gymnastics (is ,are )my favourite sport..

11. The negative of ‘He bought some cows is ……..(He doesn’t buy any cows , He didn’t buy any cows ,’He bought any cows’ )

12. ‘Hari made a car .the ‘who –question ‘of the given sentence is ….(who did make a car ? ,who made a car ?,who didn’t make a car ?)

13. The yes /no question of ‘He read the Ramayana ?,Does he read the Rayamana?)

14. The ‘whose – question ‘ of ‘This book is yours ‘ is …….(whose book is yours ?,whose book it is ?,whose book is this ?)

15. The negative of ‘I have already completed it ‘,is ……….(I have n’t already completed it , I haven’t completed it yet ,I haven’t completed it .)

16. ‘She ‘d better go there ‘.The negative of the given sentence is …….(she ‘d not better go there ,She’d better no go there, She’d better not go there )

Mathematics

If the angle of a triangle are as 1:2:3; Show that the corresponding sides are as

a)1:2:2 b)1:2: √3 c)1:√3:2 d) none

2. If a CosA= bCosB,Then triangle is

a)Either Isosceles or right angled

b)Equilateral

c)Scalene triangle

d)Non of these

3. The area of the triangle ABC,when a=3,b=4,c=5 is

a) 4 b)8 c)6 d)none of these

4. The area of the triangle ABC, When a=5,b=6,c=30⁰ is

a) 7sq.unit b)7.5 sq.unit c)8 sq.unit

d)None of these

5. If a &b be any two vectors then (a+b).(a-b) is equal to

a) a²-b² b. a² –a² c) a² +2a.b+b²

6. The scalar product of the vectorsI+3j-8k and 3I-5j+4k is

a).50 b)-50 c)60 d)none of these

7. The angle between the vectors 2I +3j-6k and 2I-3j -5k is

a)C₀^-1 {-16/7√38} b). -17/7 √3 c)-5/7√38

d).none of these

8. If in the triangle ABC,if a=18, b=24,c=30, find the area of the triangle ABC ,

a) 210 b)215 c)216 d)none of these

9. If the sides of triangle are 13cm, 14cm,15cm,then find the area

a) 82sq.cm b) 80 sq.cm c)78sq.cm d) 84sq.cm

10. The vector point is

a)perpendicular

b) parallel to itself

c) None of these

science

1)which of the following is a vector quantity?

a)Velocity b) Acceleration c)Force d)all of them

2) one horse power is equal to

a)500watt b)746watt c)730watt d)745watt

3)what liquid is used is an aneroid barometer?

a)alcohol b)mercury c)water d)liquid is not used

4)what is the acceleration of uniformly moving body?

a)zero b)negative c)positive d)infinite

5)unit of specific heat is

a)joules b)calories c)joule/kg/⁰C d) calorie/gram

6)power of lens is measured in …

a)cm^-1 b)cm c)meter d)diopters

7)the speed of light in glass is

a)3.0×10⁸ m/s b)2×10⁸ m/s c)2.5×10⁸m/s d) none of them

8)human ear can hear sound of …

a)0Hz-20Khz b)10Hz-20Khz c)20-20Khz d)20Hz-25Khz

9)what is the unit o intensity of sound?

a) Bel b)Hertz c)decibel d) horse power

10)a sound of wave length 3.3m has a speed 330m/s. what is its frequency?

a)0.1Hz b)1Hz c)0.01Hz d)100Hz

11)the value of dip at the north pole id

a)45⁰ b)60⁰ c)90⁰ d) 0⁰

Choose correct answer

English

The pants you gave me (does not ,do not ).
The police (want ,wants )to interview him .
The scissors (are ,is ) sharp.
Physics (was ,were )my difficult subject.
The news (have ,has ) been sent.
A ten day duration (is ,are )long enough for a good holiday.
My binoculars cannot be found .Have you seen (them ,it )?
Thirty –five degrees (is ,are)too hot.
His (behaviours, behaviour) may lead him to failure.
I’ve heard some of his (suggestion, suggestion).
I’ve heard some of (advice ,advices)
Fish and chips (is ,are ) ready to have.
What a beautiful (view , scenerly)!
What beautiful (view , scenerly)!
I have made some (furniture, furnitures).

Mathematics

The value of a.b is

a) abCos θ b) abSinθ c) abSinθ d)none of them

The unit vector of a=3i+4j is

a)(3i+4j)/√3 b)(3i+4j)/5 c) 3i+4j d)none of these

If a=(2 4 3 )& b=(1 -1 2) find a-b

a) (1 5 1 ) b) (3 3 5) c) (3 0 5) d)(1 -1 2)

If a=6,b=7,c=5,find the value of Sin A/2

a)1.43 b)2 c)3 d)none of these

The value of Tan22¹/2 is

a) √ 2-1 b√2+1 c) √3+1 d) none of these

If two vector a&b are perpendicular with each other if

a)a.b =1 b).a.b=2 c)a.b = a d)None ofthese

i.j is equal to

a) 1 b)0 c)2 d)none of these

i.j is equal to

a)0 b)1 c)-1 d)None of these

The value of Cos θ is

a) a.b/a.b b) a.b/a.b c)a.b d)none of these

20. If a=c1i+c2j, b=b1i=b2j then a.b is

a)c₁b₁+c₂b₂ b).0 c)c₁b₁+c₃b₃ d)none of these

In any G.P second term be added to each of three consecutive terms then the resulting terms are in

a)AP b) GP c)H.P d)None

22.Which of the given function is identity function?

a)f(x) =ax₂+b b)f(x)=ax₂+bx

c) f(x)=ax+b d)None

If the dimension of a cube is 1,then the length of a diagonal will be

a)√ 2 b) √ 3 c) √ 4 d) √ 3/2

A fair coin is flipped three times. What is the probability that the coin lands heads each time?

a)1/2 b)1/4 c)3/8 d)1/8

A jar has 5 marbles ,1 0f each of the colors red ,white ,blue , green and yellow . If 4 marbles are removed from the jar .What is the probability that the yellow one was removed?

a) 1/20 b)1/20 c)1/4 d)4/5

Science

1. magnetic intensity is a………

a) a)scalar quantity b)vector quantity c)both ‘a’ and ‘b’ d)none of them

2. what happens on the brightness when the number of bulbs increases?

a) a)decrease b)increases c)sometime increases and some time decreases d) none of them

3. what is the unit of resistance.

a) ampere b) volt c) ohm d) coloumb

4. which of the following expression represents Ohm’s law?

a) I

b) I

c) V

d) V

5. one light year is equal to ….

a)9.46×10¹² km b)9.5×10¹³ km c) 9.68×10¹³ km d) 9.8×10¹³ km

6. which is the farthest planet on the solar system?

a) a)Uranus b)venus c)saturn d)Pluto

7. which is the smallest planet in the solar system?

a) A)pluto b)Jupiter c)mars d)venus

8. acceleration due to gravity is maximum …

a) a)at the top of the Mt. Everest b)at the pole c) at the equator d)at the center of the earth

9. what is the unit of the force in term s of fundamental units?

a) a)kgm²/s² b)kgm/s² c)kgm^-1s² d)kg/m²s

10. the colour of the phenolphthalein in an alkali solution is ..

a) a)pink b)colourless c)red d)yellow

11. isotopes contain same number of …

a) a)neutrons b)electron c)positrons d)protons

12. the chemical formula of rust is ….

a) a)2Fe₂O_3.3H₂O b) 2Fe₂O_3.10H₂O c) 2Fe₃O_4.5H₂O d) 2Fe₃O_4.3H₂O

13. )horn silver represents….

a) a)AgNO₃ b)Ag₂S c)AgCl d)Ag₂O

14. the metals of group VIII are known as ….

a) a)alkali metals b)alkaline earth metals c)transition metal d) none metal

English

1. A(three-year ,there –years ) graduate programme is effective .

2. He lost his spectacles .Did you see (them ,it )?

3. A television series (is ,are )very interesting .

4. He carried his (baggage ,baggages )himself .

5. Do you like the (accommodations ,accommodation)of the room ?

6. She did it (fast /fastly).

7. He was (serious/seriously) injured .

8. She is (boring /bored) as her job is boring.

9. Ram is the (tall/taller /tallest)boy in the class.

10. Hari was superior (than /to/by ) Ram.

11. Janaki is (fat /fatter/fattest) than Rita.

12. She is (quick /quickly)to do things.

13. Hari (hard /hardly ) believes you.

14. She belives everyone (immediate /immediately).

15. Her (perfect/perfectly) labour is praise –worthy.

16. Her (lovely /love)physical appearance attracts everyone .

17. Which is the (older /oldest ) temple among them?

18. Who is (older /oldest )between them?

Mathmetices

1)if n(U)=500., n(A)=150 , n(B)=300 and n(

then n

is equal to

a) 80 b)230 c) 120 d)380

2) how many positives integers less than 100 have a remainder of 3 when divided by 7 ?

a)18 b) 16 c) 14 d)12

3)if

of the 350 students are girls and

of them take the subject home science , how many of them do not take home science ?

a) 25 b)30 c)35 d) 40

4)two nails are stuck at .

. parts and

.. parts of a pole then the length of the part below the second nail of the first nail of 4m from the earth is..

a) 1m b)3m c) 5m d) 7m

5) a cyclist rides 250m in one minute then the speed of the cyclist in km/hr is ..

a) 10 b) 12 c) 15 d) 18

6)a man mixes 90 liter milk containing 10% of water with 60 liter of milk containing 20% of water then the percentage of water in the mixture is ..

a) 10% b)20% c) 30% d) none of them

7) a rectangle is twice as long it is wide if its length is 2x + y then the perimeter of the rectangle is

a) 4x + 2y b) 3x + 3y/2 c) 6x + 3y d) 3x + 2y

8) if the lone side of rectangle is doubled and the other reduced to half of the areas of the new rectangle goes up by ..

a) 0% b) 50% c) 150% d) none of them

9)what is the value of -3a²b when a=-4 and b=0.5 ?

a) -72 b)-24 c) 24 d) 48

10) if 1/x + 1/y =1/z and xy = z what is the average of x and y ?

a)0 b) ½ c)1 d) (x + y)/z

science

Hydrogen was discovered by

a) Henry Cavendish b)Lavoisier

c)Priestlely d)Rutherford

. The process of hardening of oils to form solid fats is called

a)Hydrogenation b)Hydrolysis

c) Oxidation d)Precipitation

Which one is rong ?

a. Nascent hysrogen is strong reducing agent

b. Nascent hydrogen is newly bron hydrogen

c. Nascent hydrogen is used in welding

d. Nascent hydrogen is a form of energetic hydrogen.

Which form of hydrogen is called heavy hydrogen ?

a)Deuterium

b) Ortho hydrogen

c) Para hydrogen

Nascent hydrogen

Those hydrogen in which nuclear spins are parallel are called

a. Ortho hydrogen

b. Para hydrogen

c. Para hydrogen

d. Reducing hydrogen

Those oxides which when dissolved in water give acid are called

a. super oxide

b. Amphoteric oxide

c. peroxide

d. none

Which is not an acidic oxide?

a) CI₂O₂ b) CO

c) NO₂ d) SnO₂

Select the correct pair

a) CO &Co₂ b) N₂O& N₂O₆ c)ZnO & Al₂O₃ d) H₂O & H₂O₂

Oxidation no. of oxygen is -1/2 in the oxide

a)H₂O b) H₂O_z c)RbO₂ d)CO₂

Which of the following is peroxide?

a) Na₂O b)P₂O₂

c)BaO₂ c)AI₂O₃

MKS unit of pressure is

a) pascal b) dynes/sq.cm.

c) metres d) atmosphere

The unit of electric field strength is

a)Volt/coulomb

b) Newton / Ampere

c) Dyne/Ampere

d) Newton/coulomb

The unit of temperature in S.I. System is

a)Degree centigrade

b)Degree Celsius

c)Kelvin

d)Degree Fehrenheit

The unit of force in S.I system is

a)watt b)Newton c)Dyne d) poundal

15. The Kelvin (in S.I.) thermodynamic temprerature is defined as:

a. one hundredth of the temperature difference between the ice – point and the steam- point

b. one hundredth of the temperature differencr between the triple point of water and the steam –point

English

Mt.Everest is ……….highest peak in The world .(a,an,the)
Shri Lanka is .island .(a,an, the ).
Who is ..best student of your class ?(a,an,the)
It is ..one rupee note .(a,an,the )
That is ……book I like most (a,an, the )
My sister is ……M.A student.(a, an,the nothing )
Don’t pull the children by ……..ear (a,n,the ).
She is ………honourable teacher .(a,an,the no article)
He played ……….volley ball yesterday .(an , a ,the , no article ).
There is …….ewe beside him .(a,an,the ,no article).
Does she like ……..white colour ? ( a,an,the no article).
It is very hot in ….winter . ( a,an,the no aarticle)
She always have ….dinner with me . ( a,an,the no article)
……..steel of the plate is good . ( a,an,the no article)
She travels by ……plate ( a,an,the no aarticle)
He has bought a red and …white shirts. ( a,an,the no article)
She is ……..most talented girl in the class . ( a,an,the no article).
carol is from ….U.K.(a,an,the ,no article ).
John is from ……..America.(a,an,the no article )
Twelve inches make …….foot .(a,an,the ,no article ).
……..sum gives us light and heat .(a,an,the ).
This bench is made of …..wood .(a,an,the ,no article )
……..clouds over the sea are lovely today .(a,an,the )

Mathematices

the simplified form of ….. is

a)17 b) 18 c) 19 d)none of them

12) if x/2 + 3(x-2) = 2(x+1) + 1 then the value of x is ..

a)3 b) 6 c) 9 d) 12

if m= and n=… then the value of m² + mn + n² is

a)15 b)12 c)8

d)6

if (4x + 3y) : (6x + 5y) = 11:17 then x: y is

a)1:2 b) 2:1 c) 2:3 d) 3:1

in 2040 Sita was 3 times as old as Ram but in 2044 she was only twice as old as Ram how old was Ram in 2050?

a)14 b) 12 c) 8 d) 6

the mean and median of moderately asymmetrical distribution are respectively 26.8 and 27.9 then its mode is ..

a) 10 b) 20 c) 30 d) 40

the average of 11 results is 50 if the average of the first six results is 49 and that of the last six is 52 then the sixth result is ..

a)56 b) 55 c) 54 d) 53

the standard deviation of the numbers 2,3,2x and 11 is 3.5 then the value of x is .. a)1 b) 3 c) 5 d) 7

the probability of getting either a king or queen from a well shuffled pack of 52 cards is ..

a. .

. b) .

. c)

.. d) .

a die is rolled once then the probability that the outcome is either a prime number or an odd number is ..

a).

. d) none of them…

three balls are drawn successively from a box containing 6 red balls 4 white balls and 5 blue balls then the probability that they are all red if each ball is not replaced is ..

Science

pitcher plant is …

a)autotrophic b)heterotrophic c)insectivorous d)none of them

plasmodium vivax occurs in ..

a)RBC b)WBC c)platelets d)plasma

animals belonging to platyhelminthes are…

a)unisexual b)neuter c)hermaphrodite d)none of them

mosquitoes have..

a)2legs b)2pairs of legs c)3pair of legs d)4pairs of legs

steam of the fern plants is called…

a)bulb b)rhizome c)tuber d)none of them

in a monohybrid ratio , where the dominance is incomplete, the F₁ generation shows….

a)1:3:1 b)1:3:2 c)1:2:1 d)3:1

42)the theory “struggle for resistance “ is connected with ..

a)Lamarck b)Robert Brown c)Charles Darwin d)Alfred Russel Wallace

43)what is the life span of human R.B.C?

a)100days b)110days c)120days d)130days

44)a ligament connects …

a)bone to bone b)muscle to muscle

c)bone to muscle d)none of them

45)which of the following is non an endocrine gland?

a)pituitary gland b)thyroid gland

c)parathyroid gland d)pancreases gland

Mathmatics

1)if n(U)=500., n(A)=150 , n(B)=300 and n(

then n

is equal to

a) 80 b)230 c) 120 d)380

2) how many positives integers less than 100 have a remainder of 3 when divided by 7 ?

a)18 b) 16 c) 14 d)12

3)if

of the 350 students are girls and

of them take the subject home science , how many of them do not take home science ?

a) 25 b)30 c)35 d) 40

4)two nails are stuck at .

. parts and

.. parts of a pole then the length of the part below the second nail of the first nail of 4m from the earth is..

a) 1m b)3m c) 5m d) 7m

5) a cyclist rides 250m in one minute then the speed of the cyclist in km/hr is ..

a) 10 b) 12 c) 15 d) 18

6)a man mixes 90 liter milk containing 10% of water with 60 liter of milk containing 20% of water then the percentage of water in the mixture is ..

a) 10% b)20% c) 30% d) none of them

7) a rectangle is twice as long it is wide if its length is 2x + y then the perimeter of the rectangle is

a) 4x + 2y b) 3x + 3y/2 c) 6x + 3y d) 3x + 2y

8) if the lone side of rectangle is doubled and the other reduced to half of the areas of the new rectangle goes up by ..

a) 0% b) 50% c) 150% d) none of them

9)what is the value of -3a²b when a=-4 and b=0.5 ?

a) -72 b)-24 c) 24 d) 48

10) if 1/x + 1/y =1/z and xy = z what is the average of x and y ?

a)0 b) ½ c)1 d) (x + y)/z

11 ) the simplified form of ….. is

a)17 b) 18 c) 19 none of them

12) if x/2 + 3(x-2) = 2(x+1) + 1 then the value of x is ..

a) 3 b) 6 c) 9 d) 12

13) if m=… and n=… then the value of m² + mn + n² is

a)15 b)12 c).. d)6

14) if (4x + 3y) : (6x + 5y) = 11:17 then x: y is

a) 1:2 b) 2:1 c) 2:3 d) 3:1

15)in 2040 Sita was 3 times as old as Ram but in 2044 she was only twice as old as Ram how old was Ram in 2050?

a)14 b) 12 c) 8 d) 6

Statistic

1) if the mean of the data given below is 20.6 what is the missing frequency

x	10	15	20	25	35
f	3	10	?	7	5

a)10 b) 15 c) 20 d) 25

2) the mean of 4,7,x,13,16 is 10 then clue of ‘x’ is..

a)5 b) 10 c)15 d) 20

3) the mean of the 8 number is 15 if each number is multiplied by 2 then the new mean is ..

a) 10 b) 25 c) 30 d) 35

4) the numbers 50,42,41,35,2x -8 , 12,11,8,6 are written in descending order if the median is 25 then the value of x is ..

a) 6 b) 12 c) 24 d) 30

5) the mean and median of moderately asymmetrical distribution are respectively 26.8 and 27.9 then its mode is ..

a) 10 b) 20 c) 30 d) 40

6) the average of 11 results is 50 if the average of the first six results is 49 and that of the last six is 52 then the sixth result is ..

a0 56 b) 55 c) 54 d) 53

7) the standard deviation of the numbers 2,3,2x and 11 is 3.5 then the value of x is ..

a) 1 b) 3 c) 5 d) 7

8) the coefficient of mean deviation from the following data is

x	2	3	4	5	6
f	3	5	7	5	3

a) 0.956 b) 0.239 c) 0.456 d) none of them

9) the coefficient of quartile deviation of the following data is

Age(in year)	20	25	30	35	40	45
No of member	6	11	7	4	3	1

a) 0.167 b) 0.239 c) 0.145 d) 0.147

probability

1) if two coins are tossed once then the probability of getting at least one head is

.c)

d) 1

2) two dice are thrown together then the probability that the sum of the numbers on the two faces is neither written 9 or 11 is

.. b)

.. c)

.. d) .

3) the probability of getting either a king or queen from a well shuffled pack of 52 cards is ..

a) .

. b) .

. c)

.. d) .

4) a die is rolled once then the probability that the outcome is either a prime number or an odd number is ..

a) ..

b)…

c) .

. d) none of them…

5) three balls are drawn successively from a box containing 6 red balls 4 white balls and 5 blue balls then the probability that they are all red if each ball is not replaced is ..

a)..

b).

. c)

… d)

…

6) the chance that A can solve a certain problem is … the chance that B can solved it is .. then the chance that the problem will be solved if they both try is ..

a)..

b) ..

c) .

. d)

Mtrices

1)If 2 × 2 matrix transforms the unit square to the parallelogram

then the matrix is

2)if A =

then (i)order of A is

a) 3×3 b) 3×2 c) 2×3 d) 2×2

ii)transpose of A is

d)none of them

iii) product of A and A’ is ..

3)if A =

then

i) determinant of A is

a) 3 2) 2 c) -2 d) 0

ii) adjoint of A is

iii) inverse of A is

d )none of them

4) if A =

and B =

and AB = A+B then the value of z is

5) if A =

and B =

then (A + B)² is equal to

a)A²+ B² b) A²+ 2AB + B² c)AB d) none of them

6) if

X =

then X is equal to

d) none of them

6) if A =

then A² – 5A -14I is

7) if A =

and B =

then (AB)’ is equal to

a) A’B’ b) B’A’ c) (BA)’ d) none of them

8)if X + Y =

and X – Y =

then X is equal to

vector

1)if D is the mid point of side BC in .

ABC then

is equal to

b)2

2) if

Then the points A,B,C are

a) vertices of a triangle b)collinear

c) both of them d) none of them

3) if the sum of two vectors is a unit vector then the difference of their magnitude is ..

c)2 d) 2

4) a vector .. has magnitude 5 and points north-east and vector .. has magnitude 5 and points north-west then the magnitude … is

a) 3

b) 5

c) 7

d) 2

5)if

Are the position vector of the points A and B respectively then the position vector of D on

such that

= 2

. b)

- 2

c) 2

6) the position vector of the points A,B,C,D are 2

+ 4

+ 3

+ 4

, -2

And 2

respectively then CD is equal to

a).

AB b)

AB c) AB d)

7)if the position vectors of the points A is

and that of B is

then

is equal to

.. b) ..

c) .

. d) none of them

ii) magnitude of

is equal to

.. b).

. c)

.. d)2

iii) direction of

is equal to

a)39.7⁰ b)140.2⁰ c)215⁰ d) none of them

8) if L , M are the mid points of AC and BD in quadrilateral ABCD then

is equal to

a).

.b) 2

c)3

d) 4

9) the position vector of the points which divide the join if the points

-3

and 3

- 2

externally in the ratio 2:3 is

a) 5

.. b) -5.

. c) 2.

. d)-2

10) if

= 3

+ 2

and -2

+ 3

…. Then the angle between

and

a) 90⁰ b)45⁰ c)30⁰ d) 120⁰

11) if

=(-1,-1) ,

= (5,-1)and

= (2,5)then the position vector of the centroid is

a)2

+ 2

. d)

- 2

Science

1)which of the following is a vector quantity?

a)Velocity b) Acceleration c)Force d)all of them

2) one horse power is equal to

a)500watt b)746watt c)730watt d)745watt

3)what liquid is used is an aneroid barometer?

a)alcohol b)mercury c)water d)liquid is not used

4)what is the acceleration of uniformly moving body?

a)zero b)negative c)positive d)infinite

5)unit of specific heat is

a)joules b)calories c)joule/kg/⁰C d) calorie/gram

6)power of lens is measured in …

a)cm^-1 b)cm c)meter d)diopters

7)the speed of light in glass is

a)3.0×10⁸ m/s b)2×10⁸ m/s c)2.5×10⁸m/s d) none of them

8)human ear can hear sound of …

a)0Hz-20Khz b)10Hz-20Khz c)20-20Khz d)20Hz-25Khz

9)what is the unit o intensity of sound?

a) Bel b)Hertz c)decibel d) horse power

10)a sound of wave length 3.3m has a speed 330m/s. what is its frequency?

a)0.1Hz b)1Hz c)0.01Hz d)100Hz 11)the value of dip at the north pole id

a)45⁰ b)60⁰ c)90⁰ d) 0⁰

12)magnetic intensity is a………

a)scalar quantity b)vector quantity c)both ‘a’ and ‘b’ d)none of them

13)what happens on the brightness when the number of bulbs increases?

a)decrease b)increases c)sometime increases and some time decreases d) none of them

14)what is the unit of resistance.

a) ampere b) volt c) ohm d) coloumb

15)which of the following expression represents Ohm’s law?

a)I

b) I

c) V

d) V

16)one light year is equal to ….

a)9.46×10¹² km b)9.5×10¹³ km c) 9.68×10¹³ km d) 9.8×10¹³ km

17)which is the farthest planet on the solar system?

a)Uranus b)venus c)saturn d)Pluto

18)which is the smallest planet in the solar system?

A0pluto b)Jupiter c)mars d)venus

19)acceleration due to gravity is maximum …

a)at the top of the Mt. Everest b)at the pole c) at the equator d)at the center of the earth

20)what is the unit of the force in term s of fundamental units?

a)kgm²/s² b)kgm/s² c)kgm^-1s² d)kg/m²s

21)the colour of the phenolphthalein in an alkali solution is ..

a)pink b)colourless c)red d)yellow

22)isotopes contain same number of …

a0neutrons b)electron c)positrons d)protons

23)the chemical formula of rust is ….

a)2Fe₂O_3.3H₂O b) 2Fe₂O_3.10H₂O c) 2Fe₃O_4.5H₂O d) 2Fe₃O_4.3H₂O

24)horn silver represents….

a)AgNO₃ b)Ag₂S c)AgCl d)Ag₂O

25) the metals of group VIII are known as ….

a)alkali metals b)alkaline earth metals c)transition metal d) none metal

26)which of the following is the lightest gas?

a)hydrogen b)Oxygen c)helium d0nitrogen

27)salt used in making negatives in photography is ….

a)NaCl b)AgCl c)AgBr d)AgNO₃₊

28) the oxide used in making blue glass is …

a)nickel-oxide b)cobalt-oxide c)copper-oxide d)chromium-oxide

29)the total number of electrons that can accommodate in d orbital is …

a)2 b)10 c)6 d)14

30)the compound used in cosmetics….

A)alcohol b)glycol c)glycerol d)ether

31)ethyne indicates…

a)acetylene b)ethylene c)propylene d)propyne

32)the compound used as preservative for biological used as …

a)zymase b)lipase c)invertase d)amylase

33)binomial system of nomenclature was first introduced by…\

a)Bentham and Hooker b)Carolous Linnaeus c)Linnaeus and Hooker d)Engler and

prantle

34) the example of fungi is ….

a)spirogyra b) mushroom c)ulothrix d) moss

35)permanent tissue..

a)have the property of cell division

b)do not have the property of cell division

c)are living cells

d)none of above

36)pitcher plant is …

a)autotrophic b)heterotrophic c)insectivorous d)none of them

37)plasmodium vivax occurs in ..

a)RBC b)WBC c)platelets d)plasma

38)animals belonging to platyhelminthes are…

a)unisexual b)neuter c)hermaphrodite d)none of them

39)mosquitoes have..

a)2legs b)2pairs of legs c)3pair of legs d)4pairs of legs

40)steam of the fern plants is called…

a)bulb b)rhizome c)tuber d)none of them

41)in a monohybrid ratio , where the dominance is incomplete, the F₁ generation shows….

a)1:3:1 b)1:3:2 c)1:2:1 d)3:1

42)the theory “struggle for resistance “ is connected with ..

a)Lamarck b)Robert Brown c)Charles Darwin d)Alfred Russel Wallace

43)what is the life span of human R.B.C?

a)100days b)110days c)120days d)130days

44)a ligament connects …

a)bone to bone b)muscle to muscle c)bone to muscle d)none of them

45)which of the following is non an endocrine gland?

a)pituitary gland b)thyroid gland c)parathyroid gland d)pancreases gland

46 )alveoli are present in….

a0kidneys b) lungs c)heart d) testes

47)which of the following is scalar quantity?

a) mass b)volume c)time d)all of them

48)1 Newton force is equal to

a)10⁷dynes b)10⁶dynes c)10⁵dynes d)10⁴ dynes

49)which law is called law of inertia ?

a)first la w of motion b) second law of motion c)third law of motion d) none of them

50)an object is thrown upward with a vertical velocity of 128ft/sec. it will return in …

a)4sec b)8sec c)16sec d)32sec

51)if m₁ and m₂be the gravitational force (F0 is equal to …

52) the highest temperature which can be recorded by a mercury thermometer is ….

a)100⁰C b)150⁾C c)257⁰C d)357⁰C

53) where a body is floating on the surface of liquid , its actual weight is …

a)zero b)equal to upthrust c)less than upthrust d) none of them

54)a simple astronomical telescope consist of two ….

a)convex lens b)concave lens c)plano concave lens d)none of htem

55)refrective index of glass is1.5 while that of water is ..

a)1011 b)1.33 c)1.31 d)1.44

56)what is the power of a convex lens whose focal length is 25cm?

a)+2D b)-2D c)+4D d)-4D

57)the speed of sound is 350m/s its wave length is 5m what is its frequency?

a)50Hz b)60Hz c)65Hz d)70Hz

58)what types of waves carry sound in air?

a)transverse waves b) longitudinal waves c)both ‘a’ and ‘b’ d)none of them

59)what is the velocity of sound in air at 0⁰C?

a)300m/s b)332m/s c)432/s d0323m/s

60) the distance between the two nearest particles in the same phase on a wave is called …

a)amplitude b)wave length c)frequency d)displacement

61) in longitudinal waves are seen in …

a)solid b)liquid c) gas d) al of them

62) what is the unit of magnetic induction?

a)Oerested b)weber c)hennery d)gauss

63) the two pole of the magnet

a) are slightly different in strength

b)are always of the same strength

c) both ‘a’ and ‘b’

d) none of them

64)what is the unit of potential difference ?

a) ampere b) volt c) coulomb d) horse power

65) on what factors does the resistance of a conductor depend?

a)length of the conductor b) thickness of the conductor

c)temperature of the conductor d) all of them

66)the solar system includes ….

a)sun b) nine planets c) steroids, comets and meteorites d) all of them

67) the total number of elements discovered so far….

a)100 b)102 c)109 d)120

68)a natural solution has pH…

a)6 b)8 c)7 d)14

69) how many grams of CaO is formed on heating 50gram of CaCO₂?

a)56gram b)5.6gram c)28gram d)2.8gram

70) the electromotive force (e.m.f) of dry cell id ..

a)0.5volt b)1.0volt c)1.5volt d)2.0volt

71) dry ice is ..

a)solid hydrogen peroxide b) solid carbon dioxide

c)solid ice d) none of them

71)which of the following substances has pH value 7 ?

a)acid b)base c)distilled water d) blood

72)how many electron are present in outermost orbit of Mg ?

a)1 b)2 c04 d)6

73) in lab CO₂ gas collected by..

a)downward displacement of water

b)downward displacement of air

c)upward displacement of air

d) none of them

74)organic compounds bears mainly…

a)ionic bonds b)covalent bonds c)metallic bonds d)hydrogen bonds

75)what is scientific name of frog?

a)rana tigrina b) bufomelanostictus c)rhacophorus d)pipa pipa

76)who discovered penicillian ?

a) Ronald ross b) Robert hook c) Alexander fleming c)schick

77)pulses are good source of …

a)carbohydrate b) protein c) fats d) vitamins

78)plants of fern is ..

a)sporophyte b) gametophyte c)thalloid d) none of them

79)sporangia on fern develop on ..

a) roots b) stem c) leaves d)razhoids

80) gametophytic body of fern plant is called ..

a)sporophyll b)aporangium c)razhoid d) prothallus

81)spirogyra belongs to ..

d)pteridophytes b) ungi c) algae d0 dicotyledon

82)father of modern biology …

a)Aristotle b) Robert hooke c)drawin d0 mendel

83) locomotory organ of amoeba is …

a)cilia b) pseudopodia c) flagella d) setae

84) contractile vacuole is concerned with …

a) digestion b) respiration c) locomotion d) osmoregulation

85) hydra is a …

a) monoblastic animal b) diploblastic animal

c) triploblastic animal d) all of them

86)what is the scientific name of hook worm/

a)enterobius vermicularis b) ascaris lumbricoides

c)fasciola hepatica d) ancylostoma duodenale

87)compound eyes are found is …

a)earth worm b) leech c) tape worm d) cockroach

88)which of the following is the other covery of heart?

a)pleura b) piamatter c) cell membrane d) pericardium

89)in muscular valve present in between left auricle and left ventricle is …

a) tricuspid valve b) aortic valve c) mitral valve d) none of them

90)the site of gaseous exchange in the lungs is …

a)bronchus b) bronchioles c) nephrons d) alveoli

91) circulation of blood was discovered by …

a)Robert hooks b) Ronald ross c0 william harvey d0 lord lister

92)the deficiency of vitamin A causes …

a) beri beri b) pellagra c) reckets d) night blindness

93)unit of work is ..

a) earg b) joule c) foot pound d) all of them

94) mechanical energy can be converted into ..

a) electrical energy b) sound energy

c) heat energy d) al of them

95) one gram weight os equal to ..

a) 9.81 dyne b) 981 dyne c) 98.1dyne d) 0.981 dyne

96) first law of motion supplies the definition of…

a) velocity b) acceleration c) pressure d) force

97) kinetic energy of a moving body is obtained by using …

a) mgh b) c) d)none of them

98) what is the value of speed of light …

a) 3×10⁸ m/h b) 3×10⁸m/s c)3×10⁸km d)3×10⁹m/s

99) the bending of light when it passes from one medium to another is called ..

a) refraction b) reflection c)dispersion d) polarization

100) primary colors are ..

a) red blue , yellow b) green ,red, yellow

c) red bleu green d) blue green yellow

101)power of concave lens is

a) +ve b)-ve c) both ‘a’ and ‘b’ d) none of them

102)incase of convex lens if object is place between f and 2f them image is formed ..

a)at the focus b)at infinity

c) between 2f and infinity d) between optical center and infinity

103)what is the frequency of ultrasound ?

a)20Hz B0 30Hz c)20kHz d) 30kHz

104) ripples formed on the surface of water ate example of ..

a) stationary waves b) longitudinal waves

c) transverse wave d) progressive wave

105)what is the values of angle of the dip at earth’s magnetic equator?

a)45⁰b)60⁰ c)0⁰ d)90⁰

106)magnetism at the center of a bar magnet is …

a) maximum b) minimum c) zero d) none of them

107) a transformer …

a) change the value of direct voltage

b) changes the value of alternating

c) produce direct current

d) product alternating current

108)fleming’s right hand rule is used to find the direction of the

a)alternate current b) direct current

c) actual current d)induced current

109)ozone layer lies between ..

a) mesosphere and stratosphere

b) troposphere and stratosphere

c) mesosphere and thermosphere

d) thermosphere and atmosphere above 720km

110)which is the blue plane of the solar system \

a) Uranus b) venus c)staturn d) earth

111)IPAC name of ethyl alcohol is ..

a) methanol b) butanol c) ethanol d) propanol

112)alkanes are represented by a genera; fprmula…

a)C_nH_2n+2 b) C_nH_2nc) C_nH_2n-1d) C_nH_2n+1

113)18 gram of water contain …

a) 6.023×10²³molecules of water

b) 6.023×10²³atoms of water

c) 6.023×10²³ions of water

d) 6.023×10²³electrons of water

114)the ore of copper is …

a)chalcopyrite b) iron pyrite c) feldspar d) magnetite

115)modern periodic table was introduced by ….

a)mendeleev b) hennery mosely

c) john newland d) johan dobereiner

116) soft glass is also known as

a) soda glass b) water glass c) pyrex glass d) quartz glass

117) which chemical is used to obtain green colored glass ?

a)cobalt oxide b) copper oxide c) zinc oxide d) chromium oxide

118) ultraviolet light converts oxygen of atmosphere present at a height of 200km into ..

a)hydrogen peroxide b) water vapor c) ozone d) nitric oxide

119) diamond is an allotropic form of ..

a) sulphur b) phosphorous c)carbon d0 tin

120) calcium oxide is a …

a0 neutral oxide b) basic oxide c) amphoteric oxide d) compound oxide

121)permanent hardness of water is due to the present of ..

a) sulphates and chlorides of magnesium and calcium

b) sulphate and bicarbonates ;of magnesium and calcium

c) carbonate and bicarbonate of magnesium and calcium

d) chlorides and bicarbonates aof magnesium and calcium

122)Mg⁺⁺ has ..

a) 12 protons b) 10 protons c) 12 electrons d) 14 electrons

123) thallophytes refers to ..

a) nacked seeded plant

b) priomitive and simplest animals

c) the plants with no differentiated root , shoot and leaves

d) the plants having distinct roots ,shoots and leaves

124)parallel venation is a common feature of ..

a) monocotyledonous leaf b) dicotyledonous leaf

c) steam d) root

125) succulent plants are

a)hydrophytes b) xerophytes c) mesophytes d) halophytes

126)male reproductive organ in fern are …

a) antheridia b) archegonia c) sperms d) paraphyses

127) sex chromosome of a female is ..

a)XX b)XY c)XZ d)XXX

128)amoeba is …

a) parasitic protozoan b) free living protozoan

c) holophytic protozoan d) saprophytic protozoan

129)sponge is ..

a) diploblastic b) triploblastic c) monoblastic d) none of them

130)what is the scientific name of the tape worm?

a)taenia saginata b) taenia solium c) ascaris lumbricoides d) fasciola hepatica

131 seacucumber is an example of …

a) echinoderms b) arthropods c) protozoan d) molluscs

132) science that deals with heredity and inheritance of hereditary character ..

a)cytology b) morphology c) genetics d) embryology

133)RNA is concern with ..

a)heredity transmission b) protein synthesis c) photosynthesis d) none of them

134) which of the following blood vessel carries impure bloods ?

a) pulmonary vein b) pulmonary artery c) aorta d) none of them

135)the hormone secreted from the wall of stomach is called ..

a) mucin b) thyroxin c)gastrin d) tri-iodothyroxin

136) voluntary muscles are also called ..

a) smooth muscles b) skeletal muscles c) cardiac muscles d) none of them

Question for Practice

Select the correct word from the brackets

You can read (paper ,a paper).
I have not got (any paper ,a paper )to write a letter.
She has given me (advice ,advices )
They told us some (informations, information).
It’s very difficult to find a (work ,job )to be employed .
Some (bread, breads ) can be sold .
Bad news (comes ,come) everyday.
My hair (is , are )too long .
There is (a hair, hair ) on your dinner plate.
Gymnastics (is ,are )my favourite sport..
The pants you gave me (does not ,do not ).
The police (want ,wants )to interview him .
The scissors (are ,is ) sharp.
Physics (was ,were )my difficult subject.
The news (have ,has ) been sent.
A ten day duration (is ,are )long enough for a good holiday.
My binoculars cannot be found .Have you seen (them ,it )?
Thirty –five degrees (is ,are)too hot.
His (behaviours, behaviour) may lead him to failure.
I’ve heard some of his (suggestion, suggestion).
I’ve heard some of (advice ,advices)
Fish and chips (is ,are ) ready to have.
What a beautiful (view ,scenerly)!
What beautiful (view ,scenerly)!
I have made some (furniture,furnitures).
A(three-year ,there –years ) graduate programme is effective .
He lost his spectacles .Did you see (them ,it )?
A television series (is ,are )very interesting .
He carried his (baggage ,baggages )himself .
Do you like the (accommodations ,accommodation)of the room ?
She did it (fast /fastly).
He was (serious/seriously) injured .
She is (boring /bored) as her job is boring.
Ram is the (tall/taller /tallest)boy in the class.
Hari was superior (than /to/by ) Ram.
Janaki is (fat /fatter/fattest) than Rita.
She is (quick /quickly)to do things.
Hari (hard /hardly ) believes you.
She belives everyone (immediate /immediately).
Her (perfect/perfectly) labour is praise –worthy.
Her (lovely /love)physical appearance attracts everyone .
Which is the (older /oldest ) temple among them?
Who is (older /oldest )between them?
She was (colourful/colorfully)dressed .
She did it (good /well).
They (hard /hardly ) ate any thing.
They are (easy/easily) convinced.
It’s noisy here .Can we go somewhere(quiet /quieter)?
I’m (busier /very busy )than you.
It is the (worse /worst )pen among you bought .
they feed (themselves,themself ).
This bag is (your ,yours ).
Which book is (mine ,my )?
They themselves carried (their ,theirs )bags .
He cut (hisself,himself).
Did she meet (somebody ,some body ) at the part ?
Each of them (is ,are )happy.
The book (when ,which )you gave me is good .
(Which ,whoseever )you go I do not care.
(Wherever, Whosever )you go Ido not care
Do it (itself ,yourself ,himself )
Everybody (have ,has ,had )done it everyday .
Sita is …….usedful member of the family .(a,an, the, )
This is ……..plot where she intends making a building .(a,an,the )
She plays ………flute well (a,an, the )
Mt.Everest is ……….highest peak in The world .(a,an,the)
Shri Lanka is .island .(a,an, the ).
Who is ..best student of your class ?(a,an,the)
It is ..one rupee note .(a,an,the )
That is ……book I like most (a,an, the )
My sister is ……M.A student.(a, an,the nothing )
Don’t pull the children by ……..ear (a,n,the ).
She is ………honourable teacher .(a,an,the no article)
He played ……….volley ball yesterday .(an , a ,the , no article ).
There is …….ewe beside him .(a,an,the ,no article).
Does she like ……..white colour ? ( a,an,the no article).
It is very hot in ….winter . ( a,an,the no aarticle)
She always have ….dinner with me . ( a,an,the no article)
……..steel of the plate is good . ( a,an,the no article)
She travels by ……plate ( a,an,the no aarticle)
He has bought a red and …white shirts. ( a,an,the no article)
She is ……..most talented girl in the class . ( a,an,the no article).
carol is from ….U.K.(a,an,the ,no article ).
John is from ……..America.(a,an,the no article )
Twelve inches make …….foot .(a,an,the ,no article ).
……..sum gives us light and heat .(a,an,the ).
This bench is made of …..wood .(a,an,the ,no article )
……..clouds over the sea are lovely today .(a,an,the )
……..flowers in the garden are garden are beautiful .(a,an,the ).
The editor and …….jouralist are coming .(a,an,the ,no article).
He died of .AIDS. (a,an, the ,no article )
Can you speak ……English ?(a,an,the no article )
She will arrive here (at ,on, at )night ?
Can you see the stars (at ,in ,on )night ?
She works (in ,on ,at) the morning .
The train will be leaving (at ,in ,on )a few minutes .
Ram has been living here (from ,since,in ) 1990.
Roshan worked there (for ,in ,since )three year .
He was born (at ,in , on )1990.

There were few people (in,on,between)the car .
She was (in,on,at ) the party .
Welcome (in, to, from )our village .
He go (in ,to ,by )the party .
I’ve been (in,to,by )Kathmandu .
Please get (in,into ,onto )the room.
She is found (at ,of ,up )cats .
She always watches the news (in, on, by )T.V.
The house is (in ,on, at )fire .
Please pay the bill(at ,in ,on,)cash .
She is in love (with ,to ,by )Hari .
She has come (on, at ,in )a taxi .
She has paid (on, at ,by )cheque .
She has paid (in ,at ,by )cash .
Give me a cheque (of ,for ,in )Rs.500.
Can you get the answer (of ,to ,for )this question?
He found the solution (of ,to,for ) this question?
She is good (at ,in,of )English .
He was fed up (by ,with ,of )life .
She seems generous (for ,to ,of )me .
Anu was satisfied (with ,of,for )your answer.
It is generous (for ,of,to ) you to help me .
She feels jealous (for ,of ,to )his progress.
Ram got married (by,to,with )Rajani.
Joan Didion got tired (by ,of,up)walking .
Nepal is famous(by,to ,of )natural beauty .
Please write (for ,by,to )me as soon as possible .
Apply (to ,for ,in )the post advertised .
Apply (to,for,in )the principal of the school .
you should take care (of ,for ,to )your small brother .
Hari always dreams (about ,of ,to )being the president of the party .
The old man died (by ,with, of )cancer .
Congratulate (for ,on ,at) your success.
The cows live (in ,at ,about ) grass
I can’t belive(in, at ,about)ghost .
She prefers tea (to. Than,from )coffee.
He specializes (at, in,of ) English literature.
The truck collided (at,with ,by)a bus .
I am looking forward (in,to,of ) meeting you at the airport.
Can it keep up (for ,with ,at )the demand ?
Hari divided it (in, into, onto )three parts .
Helen was junior (than ,to ,by ) Anu .
Tom won’t be late , ( will he , will she , won’t he )?
She’s dancing ,( hasn’t she , has she , isn’t she )?
Anu’s applied for the job ( isn’t she , isn’t he , hasn’t she )?
This is not very interesting , ( isn’t it , isn’t this , is it )
Jack ‘s on holiday,(isn’t he , is he , hasn’t she )?
Lets go out ( will you , shall you , won’t you )?
Don’t call her ( will you , shall you , do you ) ?
You’re tired ( aren’t you , are you ,don’t you ) ?
He’d never phoned me , ( had he ,hadn’t he , did he )?
She won’t mind if you use her phone, ( does she , will she , won’t she )?
Have your tea , ( will you , have you , do you )?
Let me open the door,(will you , have you , don’t you ) ?
Eric read the ramayana ( doesn’t he , don’t he , didn’t he )?
You’d better stop it , ( wouldn’t you , had you , hadn’t you )?
Somebody phoned me , (didn’t they , did they , didn’t he)?
Nothing is good there , ( is’t , isn’t it , are they ,)?
You and I did it together,(didn’t you ,didn’t ,I didn’t we)?
The goats were sold , (weren’t it , weren’t they ,wasn’t it )?
Hari’s been awarded ( isn’t he , hasn’t he ,has he )?
Alice has to dance ( hasn’t she , does she , doesn’t she)?
Cathy has him go out , ( hasn’t she ,doesn’t she ,will she )?
Ann married george , ( didn’t he , didn’t she , didn’t they )?
I always have my meal at nine ( haven’t I , don’t I ,have I )?
Sheela has to be practical ( hasn’t she , doesn’t she, does she )?
I never used to smoke ,(didn’t I,did I,do I)?
Please ,be seated ,(be not you ,will you ,be you)?
Let’s play volley ball ,(shall we ,will you ,Shan’t I ) ?
All were promoted ,(were they ,weren’t they,weren’t all)?
Either Ram or Anna phoned you,(didn’t he ,didn’t she ,did he )?
Neither Anna nor Hari did it ,(Didn’t he ,didn’t she ,did he )?
I am not a student ,(aren’t I, amn’t I, am I)?
I m working there ,(amn’t I,aren’t I ,are I)?
Most of the water seemed to be dirty ,(did it ,didn’t it ,did they )?
There are two boys (aern’t they ,are they ,aren’t there)?
This is a good book ,(isn’t this ,isn’t it ,is this )?
They had me do it,(hadn’t they ,didn’t they ,did they )?
Nobody phoned her,(didn’t her , did he ,did they )?
Don’t phone me if you are busy ,(will you ,do you, are you)?
Cecily cut it with an axe ,(did she ,didn’t she ,don’t she )?
These are my pens ,(aren’t these ,aren’t they , are these )?
Ram will go there if he is called ,(will he ,won’t he does he )?
Cathy ,read it ,(did she ,will you, didn’t she )?
The negative of ‘He bought some cows is ……..(He doesn’t buy any cows , He didn’t buy any cows ,’He bought any cows’ )
‘Hari made a car .the ‘who –question ‘of the given sentence is ….(who did make a car ? ,who made a car ?,who didn’t make a car ?)
The yes /no question of ‘He read the Ramayana ?,Does he read the Rayamana?)
The ‘whose – question ‘ of ‘This book is yours ‘ is …….(whose book is yours ?,whose book it is ?,whose book is this ?)
The negative of ‘I have already completed it ‘,is ……….(I have n’t already completed it , I haven’t completed it yet ,I haven’t completed it .)
‘She ‘d better go there ‘.The negative of the given sentence is …….(she ‘d not better go there ,She’d better no go there, She’d better not go there )
Could you tell me ……..(where is the post office ?, where the post office is ?,where does the post office ?)
Do you know whether ………(Rita received any letters ? Rita recrived any letters ?,Rita received some letters )
Can you tell me whether .(there is a bank near here ,there is a bank near here? ,there is a bank near here is ?)
The statement form of ‘Hasn’t he arrived yet ? ‘ is …………..(He hasn’t arrived yet ?,He has not arrive yet ,He hasn’t arrived yet)
The negative of ‘Let ‘s go out’ is ….(Let’s go not out ,Let not us go out ,Let’s not go out ).
The who questions of ‘Rajan has beaten her ‘is ……(who beaten her ? ,who has beaten her ?,who is beaten her ?)
The why –question of ‘she went to school to be educated ‘is ………..(Why she went to school ?,why sis she went to school ?, why did she go to school?)
‘She was in ‘the where question of the given sentence is …………………(Where was she ? ,Where she was ?,where she was in ?)
The whose question of ‘Raju ‘s father is a teacher ‘is …………..(whose Raju is a teacher ?, whose father is a teacher ?,whose father is ?)
One of the students (is ,are , was ) there now .
Some girls (have ,has ,had )been playing for three hours now .
The legs of the table (has ,have )been broken .
Everybody (is, were ,was )present yesterday .
None of the boys (do,does,done ) it well.
Some of the tea (has ,have )been spoilt over it .
All the students (do ,does done ) it well.
The opinion of the police (is , are )convincing .
The students in the hostel(studies ,study )well.
Either Ram or you (do ,does ,done )it.
Neither you nor Ram (have ,has )done it.
No boys (are ,is ,was )talented .
Each of the boys and girls (do ,does ,did )it everyday .
There (are ,is ,was )two dogs now .
There (are ,is ,was )two dogs .
The French (love ,loves )their culture.
The honest (has ,have ,had )to be respected
The minority (is ,are )neglected.
A number of boys (are is werw )playing now .
The number of the students in the class (is ,are ) nine .
The police (have ,has ) saved us .
Economics (is ,are ) not easy .
Your scissors (has ,have ) been lost .
Twenty tones of rice (have ,has )been lost .
Ram ,along with his friends ,(is ,are ,was ) playing when I saw him.
Many brothers on this discipline (was ,has ,have )been proposed .
The view of these principles (vary ,varies ,veries ) from time to time.
Each of the students (have ,has ,to have ) some problems.
A pair of pliers (is ,am,werw )on the table when I was there.
The trousers (have ,has ,was ) been sold .
Anna, along with her children,(go ,going ,goes )to the party.
Neither of them (have ,to have ,has ) done it .
Everybody (is ,am ,are ) invited to the party .
Writing books (is ,am,are )difficult .
The pride of lions (attack ,attacks ,to attack )the goats which are grazing .
His shorts (is ,are ,were ,was )very long when I saw him.
The police (have ,has ,to have ) arrested the thief .
Slow and steady (win ,winning ,wins )the race .
There (is ,are ,was )many species of birds .
Ten litres of milk (is ,am ,ar ) enough for us .
Aesop’s tables (is ,be ,are) interesting.
There (is ,be ,are ) too many people in my village .
Fifty dollars (is ,be ,are ) enough for me now .
The book on the table is (my ,mine ,me ).
Do it (yourself ,itself ,youself ).
Have you seen ( a thirty –years ,thirty –years,the thirty years)old man who was killed in the accident ?
A flock of sheep (have ,has ,is )been sold .
The opinion of the members (so ,does ,done )not affect the chairman.
The news (is ,are ,were)important.
The legs of the bench (was ,were ,is )made ofmetal.
Each of my sisters (is ,are, were )educated.
Smoking and drinking (is ,be ,are)injurious to health.
The author and editor (have ,to have ,has ) invited me to dinner.
The author and the editor (have ,to have ,has )invited me to dinner.
Each boy and girl(have ,has ,to have )got admission into the school.
No salary or bonus (was,has ,were )given to the teachers in the school.
The news (is ,be,are)broadcast on T.V.
The United Nationls (have ,has,was )decied it.
The crew (was ,were,has welcome .
Aesop’s fables (be,is ,are)interesting.
They (work,has worked ,have worked)since last year .
She (hadn’d had,hasn’t had, hasn’t been having )a good meal before she went there.
The jungle (is destroyed ,have been destroyed ,was destroyed)as people were not educated.
Look they (were dancing ,danced ,are dancing )
By next decade, they (will be completing ,will have completed,will have been completed ) it.
By tomorrow ,she (will teach ,will have taught ,will have been teaching )them for ten months.
The building (is ,was,has been )made last year.
She (was to ,has to,has been ) pokhara.
They (have been ,have , have had) married fo a long time.
Medical scientists will (be eradicatiig ,have eradicated ,have been eradicating )malasria by 2010.
Hari never (drink,drinks,drinking )wine .
She (has just bone,just went,just go )out.
He always (drink, drunk,drinks) wine.
She (has beaten,has beating ,has been beaten )badly .She seems sad now .
They (are working ,have been working ,have worked )now.
Bill (goes ,gone ,went )to America last year.
They (haven’t done ,have been doing ,didn’t dof)it yet .
I (have visited ,have been visiting ,visited ) Biratnagar last year .
The earth (is moving ,moves moved) round the sun .
Why (do you work ,are you working ,have you worked )now ?
Please meet her after she (come,comes ,came ) here.
I met him while he (played ,wasplaying ,has been playing ).
The police arrived after the robbers (ran ,have run ,had run)away.
The students had left the class before the teacher(had entered,entered,has entered.
When she saw me ,I(am informed ,have informed ,informed )about his wife.
As he phoned me,I (am informed ,have informed ,informed ,) about his wife .
The engineer got the work men (build ,built ,to build)the house .
We made him (write ,to write ,written) a letter.
My mother got me (do,to do ,done )my homework .
Don’t get her (to beat ,beat,beaten )him .
Don’t get her (to beat ,beat ,beaten ).
My father got me (buy ,to buy ,bought )a pen .
My father made me (buy,to buy ,bought) a pen .
She got a pen (buy, to buy ,bought ).
She was made (clean ,to clean ,cleaned )the floor.
I will get the cobber (polish,to polish ,polished ).
I will get my shoes (polish ,to polish ,polished ).
He was made (sing ,to sing ,sung )a song.
He made her (sing, to sing ,sung ) a song .
Do you let your kids (smoke ,to smoke ,smoked)?
Why did they get her (get ,to get ,got ) married to him ?
Get your clothes (wash ,to wash ,washed )hard .
Have Radha (do,to do, done ) it .
He had his servants (work ,to work ,worked )hard .
He got his servants (work ,to work ,worked )hard.
Can’t you make her (do, to do ,done ) the translation?
He made us (pronounce ,to pronounce ,pronounanced) the words correctly.
They have got the bridge (repair ,to repair ,repaired ).
They have got the workmen (repair ,to repair ,repaired )the bridge.
She got me (help ,to help,helped )him.
She got the goat (kill,to kill,killed ).
Why didn’t you get him (complete ,to complete,completed)his homework ?
Why didn’t you get his homework (. complete ,to complete,completed)?
My mother got me (visit ,to visit ,visited ) all my relatives.
The teacher made her (read,to read, reading ) the book.
She always has me (prepare ,to prepare ,prepared )the lesson.
She always gets me (prepare ,to prepare ,prepared )the lesson .
He made me (not phone ,not to phone, not to be phoned)him.
He got me (not phone ,not to phone, not to be phoned)him.
The film made thfe girls (cry ,to cry ,cried ).
He was not made the girls (cry ,to cry ,cried).
Let him (do ,to do ,done )it.
Get her (do ,to do ,done )it.
Get it (do ,to do ,done )it.
Where is he made (to meet, met ,meeting ) her?
Get them (complete ,to complete, completed) by Hari .
It’s a big factory .Two thousand people (employed, are employed ,are employing )there.
Water (covers,is covered,is being covered )most of the Earth’s surface.
Most of the Earth’s surface(covers,is covered ,is covering ) by water .
Many accidents (are causing ,are caused ,cause ) by dangerous driving .
Chese (makes ,is making ,is making )from milk .
The park gates (lock,locked ,are locked) at 4pm every day .
The letter (is arrived ,was arrived ,arrived)yesterday .
The letter (is posted ,was posted ,posted) a week ago .
They are (badly beating ,badly beaten ,beating badly ).
People (is spoken ,speaking ,speak ) Nepali.
The roof (was damaging ,was damaged ,damaged ) two years ago .
The room (cleaned ,has clean ,has clean ,has been cleaned).
She does not like (called ,being called ,calling )by her first name .
The window s (broke,were breaking ,were broken)by the robbers.
He is supposed to (be helped ,help ,helped )her .
Rajesh (killed ,was killed ,has killed ) last year .
Somebody (killed ,was killed ,has killed ) Rajesh last year .
America (discovered ,was discovered ,discovers) by Columbus .
National parts (attract,are attracted ,attracting )tourists.
The blue building (made ,was made ,make )ten years ago.
Rivers of fresh water (is formed ,form ,is being formed ) this lake.
The matter (must look into ,must be looked into,must looking into)
The jungle (clears,is clearing , is cleared).
Nobody (has killed ,has been killed ,has been killing ).
Nobody (has killed ,has been killed ,has been killing )her.
He (hurt, was hurting ,was hurt ) isn the accident .
They (have built ,have been built ,have to be built ) the house .
Let (he,him ,his ) be awarded.
The book (was writing ,was written ,wrote )last year .
By (who ,whome ,where )was he killed ?
The boy (who ,whome ,where ) mother is a teacher is talented.
She has not been teaching (for,since,till )she did her graduation.
Radha passed the exam (because , because of ,in spite of )her t alent.
He went to the market (to,so,that ,because )he could buy what he wanted .
Anna never buys a car (inspite of ,although,because )she is very rich.
(Because ,Despite ,Although )being very talented ,she always fails the exam.
He likes her .He’s never spoken to her (in spite of ,though ,although).
The place (which ,where ,that ,)she was born is far from here.
The place (which, where,what ) you can see from here is beautiful.
I have met the mothers (who ,whose ,whome )sons were killed in the battle.
She didn’t know the name of the boy to f(whose ,whome ,who) she spoke in the phone.
She gave me (which ,what ,that) I needed.
She gave me the things (which ,what ,whose)I needed.
You can use my car (unless,as,therefore )you drive carefully.
She’s staying at home (unless ,providing ,provided)it is raining heavely.
Encircle the correct answer :
1.Sita is ………useful member of the family.
a) a b)an c )the d)none
This is …plot where we intend building a house .
a) a b)an c)the d)none
Ram is accused …….theft .
a) at b)in c)of d)with
My teacher always goes to school ….bus.
a) in b)by c) on d)at
Everything is perishable………?
a) Isn’t it b)isn’t it c)aren’t they d)isn’t this
6. I’m tired and hungry ……….?a)isn’t it b)aren’t I c)am I d)wasn’t I
Ten kilos of rice …bought yesterday .
a) is b)were c)was d)has
8.He does not …hard .
a)studies b)study c)has studied d)studied
9. Does he owe any money ,No he does not…….any,
a)owes b)owe c)owed d)owned
10. “He found something in the room ?” The yes /no question of the given statement is :
a) Did he find anything in the room?
Did he found anything in the room?
Did he finds anything in the room?
Did he founded anything in the room?
Before the policeman came ,the thief…….
a) run away b)runs away c)had run away d)ran away
We generally …….to school in the morning ?
a) went b)go c)have gone d)had gone
The teacher asked us ………
a) what he wants b)what we wanted
what did we want d)what we want
My father told me that ……..
water freezes at 0⁰celsius
water has frozen at 0⁰ celsius .
water froze at 0⁰ celsius .
water had frozen at 0⁰celsius.
Idon’t know ……….Rara
a) which b) when c) where d) what
We go to the bank …….we can cash the cheque .
a)to b)for c) so that d) in order to
The engineer got thfe workness ………the bridge .
a)built b) built c)to built d)building
18 We made the gardener …….out the grass.
a) to cut b)cut c)cutting d)has cut
People are destroying the jungle .The jungle ……….
a)is destroying b)is destroyed c)is being destroyed d)be destroyed
20.Some one robbed my house .My house ……..
a)is robbed b)was robbed c)was being robbed d)be robbed
21 If I were a teacher , I……not punish pupils .
a) will b)would c)would have d)will be
22. If you ………hard ,you would have passed the exam .
a) study b)studied c)had studied d)studies
I …….in this village last year .
a)live b) lives c) lived d)has lived
Sita plays ……flute well.
a)a b)an c)the d)none
Don’t laugh ………the poor .
a)of b)at c)in d)on
Mt.Everest is …….highest peak in the world .
a) a b)an c)the d) none
27.Surya was accused ………..theft.
a) for b)of c)in d)at
I’m alright ……?
a) aren’t b)hasn’t c) am I d)was I
Let’s do our homework …….?
a) will you b)shall you c)shall we d)will we
30 Fifty kilos of rice …….enough for our family.
a) is b) has c)are d)have
31 Today’s news ………interesting .
a) is b)has c)are d)have
32. I bought some books yesterday . But my friend did not ………any.
a) buys b)bought c)buy d)buying
33. “There’s some news today “ .The yes/no question of the given statement is:
Is there some news today ?
has there any news today ?
Is there any news today ?
Are there any news today ?
34 .I generally ……in the morning .
a) walk b)walks c)walked d)walking
35. When I got up ,it …….
a) rained b) has rained c) was raining d)is raining
36. He enquired ………
a) where his father is b) if where his father was
c) where his father was d)where his father has been
37. The reported speech of “I lost my pen yesterday “ is :
He said that
he lost his pen yesterday
he had lost his pen the day before
he lost his pen the day before
he loses his pen the previous day
38. They turned my offer down.My offer ……..
had been turned down
was turned down
has turned down
is turned down
39. Someone has stolen my book .My book………..
a) has stolen b)has been stolen
c) is stolen d)was stolen
40 Saturday was the day ………..it rained heavily
a) which b)where c)when d)which
41. …………his negligence ,he passed the exam .
a) in spite of b)because of c)because d)as
42 .My father got me …the homework .
a) doing b)to do c)do c)done
43.I made my moter ……new clothes .
a) buy b)bought c)to buy d)buying
44. If he …….hard ,he would have passed the exam .
a)studies b)studied c)has studied d)has studied
45. If I were bird ,I …….fly .
a) will b)would c)would have d)will be
46. Shrilanka is …island .
a) a b)an c)the d)some
47. Who is ………best student of your class ?
a) a b)an c) the d)some
48. Meera met him ………..the way to work.
a) in b) to c)on d)at
49.”What is wrong ….you?”She asked me .
50. Gopal and Krishna will finished the work ,……..?
a) won’t be b) won’t they
c) will n’t they d)don’t they
51. Niru never gets angry , ……..?
a) does she b)doesn’t she c)did she d)didn’t she
52. Each of the boys …….here on time yesterday.
a)is b)was are c)were d)will be
53. The cost of these articles …..risen at present.
a) has b)have c)had d)had had
54. Did Sunita ……..the exam ?
a) takes b)take c)took d)taken
55. Bimala …….food everyday .
a) prepares b)prepare c)prepared d)was prepared
56. They ………home by tomorrow .
a) will go b) go c)are going d)will have gone
57. Don’t cross the road .The bus, a)comes b)is coming c)will come d)came
58. They promise us higher wages,we ……higher wages .
a) have been promised b) are promised
c) were promised d) was not seen
59 No one saw me ,I…….
a) am not seen b)h aven’t been seen
c) was seen d)where was he going
60.She asked him ……
a) where he is going b)where is he going
c) where he was going d)where was he going
61 He has not returned the call…..I have telephoned twice .
a)whether b)so that c)although d)because
62.He said to me ,”Where ………now ?”
a) you are going b)you were going
c)were you going d)are you going
63. My father told me….. so much money .
a) not spend b)do not spend
c) not spent d) not to sped
64.the teacher got shyam ………..a glass of water .
a) bring b)to bring c)bringing d) brings
65. She didn’t want to sing a song .I ask her she had to,I made her ………..song . a)to sing b)sings c) sing d)sang
66. If you tried again ,you ……
a)will succed b) would have succeeded
c)will have succeed D) would succeds
67 If he ………he ‘ll get there in time .
a) run b)runs c)ran d)has run
68. It is …………one rupee note .
a) a b) an c) the d) none
69. That is ……………book I like most .
a) a b) an c) the d) none
70. She is …………the sari today .a) at b)in c) by d) on
71. Madan married ….an American lady,
a) to b) in c) by d) on
72. No one solved the problem,…
a) Did they b) didn’t they c) Did he d) do they
73. I’m a nurse …….?
a) amn’t I b) aren’t I c) don’t I d) isn’t I
Look the deer …grazing .
a) is b) are c)were d) will be
75. Neither mohan nor they ….understood my question till now
a) has b) have c) had d) having
76. I said I need a shirt when she asked me, "……………..?”
a) what you need b) what do you need c) what do I need d) what you needed
77. Mohan drive a car but he …………,………… a bus .
a) doesn’t drive b) doesn’t drives c) don’t drive d) drives
78. When I saw them, they ……………..,
a) are dancing b) have been dancing c) were dancing d) has been dancing
79. Krishna ………….. yet .
a) hasn’t arrived b) didn’t arrive c) won’t arrive d) will arrive
80. Someone told the students a story . it means ………
a) the students are told a story b) the students have been told a story c) the students were told a story d) the students will be told a story
81.’ Food is being prepared by my sister’ that is to say …….
a) my sister is preparing food b) my sister has been preparing food c) my sister prepares food d) my sister prepared food
82. Dipa said that she …..pokhara .
a) has visited b) had visited c) was visited d) is visited
83. Rita said to her friend,” ………..?” she replied that she was form doti .
a) where she is from b) Where has she from
c)Where are you from d)where was she from
84. You will be punished for ………you have done.
a) what b)when c)while c)where
85. The school was closed …strike .
a)because b)so that c)because of d) as
86. She is very cruel .She always makes her children …the hard work.
a)to do b)do c) does d)did
87. My shoes are dirty .I will get the cobber …….them.
a) to polish b)polish
c) to be polished d)polished
88. If she invited me ,I……… her wedding .
a)will attend b)attend c)will have attended d) would attend
89. If Mira …… the exam,she will not come to school.
a) fail b)fails c)failed d)has failed
90. My sister is ……..M.A. student.
a) a b)an c)the d)nothing
91. Atlantic ocean is ………biggest ocean.
a) a b) an c)the d)nothing
92. My father lives in Chitwan …….my mother.
a)to b)by c)with d)of
93 Prakash will have finished it……….tomorrow.
a)for b)at c)from d)by
94. Let me open the door……..?
A ) shall we b)shan’t you
c) will you d) don’t you
95. None helped me last week ……..?
a)Did he b)don’t they c)didn’t they d) did they
96. Renu and Bina………..the best teachers of our school .
a) is b)an c)are d)be
97. Geeta! Clean the room ……..
a)herself b)ourselves c)yourself d)themselves
98. Hari didn’t ……..his house .
a) built b)builds c)build d)builded
99……….he sing sings daily?
a) Are b Do c) Does d) Is
100.Pramod ……his house ,it looks nice .
a)is painting b)had painted c)has painted d)was painting
101. Pramita……us daily in the past .
a) helped b)helps c)helping d)will help
102. Our school is very nice.It ……by the villagers.
a)is build b)was built c)will built d)has built
103………is it finished ?
a)Who b)By Whom c)BY who d)who by
104. I asked the doctor if I……..the antibiotics.
a) take b) can take c)could take d)took
105.Mr. Giri said to his students ,”………”
Not to make a noise
Maken’t noise
Don’t make noise
Didn’t make noise
106.She could n’t solve it …….her weakness .
a) because of b)as
c) in spite of d)although
107.Rajendra……everyone likes, works in school.
a) which b)whose c)whom d) where
108. Rita got her dress………
a) washed b) to wash c)wash d)washing
109. He made us ……a song yesterday .
a) sang b)to sang c)sing d ) singing
110. They could have done it if they……..
a)tried b)try c)would try d)had tried
111. If you want to pass the exam ……..
a) work well b)worked hard
not to work well d)works well
112. Mrs. Indira is ……..honourable teacher.
a) an b) c) the d)no article
113. We played …….volley ball yesterday .
a) an b)a c)the d)nothing
114. She alwaya quarrels…….her pocket as soon as the teacher gave him .
a) by b)with c)over d)between
115. The boy put a piece of chalk ……..his pocket as soon as the teacher gave him.
a) in b)into c0out of d)from
116. Sheela bring me your pen ,……?
a) will you b) will she c)don’t she d)won’t she
117. He’s singing a song ……….?
hasn’’t he b)wasn’t he
hadn’t he d)isn’t she
118 Slow and steady ……the race .
a ) will win b) won c)wins d) win
119. A number of fools …..present here.
a) is b)am c)are d)have
120. She likes oranges but she ……apples.
a) likes b)doesn’t like c)didn’t like d)liked
121. How ……you last week?
a) does she help b)she did help c)she helped d)did she help
122. Vijayeta and Nayan love traveling .They ……..India next month when
the SLC exam finished .
a)will visit b) are visiting c)visit d) shall visit
123. As soon as I entered ,the students ………to their feet.
a) leapt b)had leapt
c) was being built d)is being built
124 .A new beautiful house ……..in our village now .
a)is building b)was building c)was being built
d)is being built
125. Nobody hurt him ,he……
a) was hurt by nobody b)was not hurt
c) is not hurt d)hurt by nobody
126. The principal forbade his students …………
a)not to smoke b)to not smoke
c) smoked d)to smoke
127 The boss declared that he had granted handsome bonus for all the previous week .
The boss said ,”I……….. a handsome bonus for all last week”
a) have granted b)granted
c)had granted d)has granted
128. ………..her illness , she didn’t give up working .
a)In spite of b) Because c)Because of d)Although
129. This is the house …….I was born .
a)which b)when c)whom d)where
130. He got a servant ……the room.
a) clean b)cleaned c)to clean d) cleans
131. My daughter made me ………..an expensive saree for her .
a) bought b)to buy c)buys d)buy
132. Had he gone there, he …….with the prime –Minister.
would meet b)would have met
c) will meet d)will have met
133. I would fly to you if I…….a bird .
a) am b)was c)were d)have
134 I know he is …….best student in our class.
a) a b)an c) the d)none
135. Ram has passed I.Sc. and is studying is …….university .
a) a b)an c)the d)none
136. My school starts……….10 in the morning .
a) a b)an c)on d)with
137. A pen is different …………a pencil.
a) then b)from c) and d)but
138. Please sit down ………?
a) will he b)shall you
c) will you d)will we
139Students do not go to school on Saturdays………..?
a) do they b)don’t they c)do we d) did they
140.A group of boys ………taking lunch now .
a) is b)are c)were d)was
141. Neither the man nor his friends ……………injured in the accident last week.
a)was b)were c)had d)is
142 The examination …….neaver.
a) come b)comes c)is coming d) will come
143. When they arrived ,I……..
a) am bathing b) was bathing
c) bath d)will be bathing
144 Do the farmers ………rice every year ?
a)Grows b)grow c)growing d)grew
145. How did Hari ……..to school yesterday?
a) go b)goes c)went d)gone
Mixed exercise
Choose the correct words:
I (was) (were) a student ten years ago.
Now I (is)(are) (am) a teacher.
I (speak) (speaks) English.
I (has) (have) a guitar.
We (enjoy)(enjoys)sight –seeing.
You (is)(are)a student.
You(is)(are) students.
He (was)(were)happy.
She (has)(have)a boy friend.
It(look) (looks0ugly.
They (has)(have)bought a new car.
This (is) (are)a book.
These (is)(are) Mary’s book.
Typewriter (is)(are) a machine.
Monkeys (eat)(eats)fruit.
Sugar (is)(are)sweet.
A hand (has)(have) five fingers.
Those chairs (was)(were)broken.
His friends (is ) (are) smart.
Their son (live) (lives) in America.
One pen (is )(are)missing.
Ten boys (is)(are)going to be expelled.
Many tourists (visit)(visits) Nepal every year.
Each student (was) (were) given an identity card.
Everyone (like)(likes)her.
Each and tourist (has) (have) got a camera.
Every one of his sons (is) (are) married.
Each of them (has) (have) broken teeth.
Both of them (is) (are) likely to fail.
Some of them (is) (are) wrong.
None of them (is)(are) correct.
All of them (is)(are) correct.
All (was)(were) given a chance.
Every Tom ,Drink and Harry (know)(knows)it.
All the participants (was)(were) present.
All my family (is) (are) present here.
All I want (is)(are) peace and quiet.
All the water(was) (were) polluted.
One of the glasses (was)(were)broken.
It all (depends) ( depend) upon his performance.
A lot of chairs (has )(have) been broken.
A lot of ice (has) (have) melted since then.
A large amount of money (has) (have)been wasted.
A pair of shoes (cost) (costs) nine dollars.
A bunch of flowers(cost) (costs) a dollar.
A number of chairs (was)(were)broken.
The number of students studying here (is) (are) quit large.
Two- third of the students (is) (are) absent.
Two-third of the students(is) (are)boys.
Forty percent of the population (was)(were) women.
Forty percent of the population (was) (were) killed.
The majority (is) (are)likely to vote against the government.
A majority of the guests (has) (have) arrived.
The majority of them (eat)(eats) beef.
The majority of them (is)(are)Christians.
The majority of the population (is) (are) poor.
The majority of the team (is)(are) experienced players.
Neither method (is) (are) appropriate.
Neither of them (is) (are) guilty.
Few people (live)(lives) to be 100.
A few books (has)(have) been stolen from the library.
A committee of five members (was) (were) constituted.
The atmosphere in most cities (is) (are) polluted.
The dragon with four heads(was) (were) killed.
Not one in a hundred seeds (grow) (grows)a healthy plant.
The major cause of highway accidents (is) (are) reckless driving.
The major cause of highway accidents (is ) (are) drunk drivers.
The persons to be hanged tomorrow (is)(are) dreaded criminals.
The person visiting us next week (is) are) my uncle.
The cars manufactured in Japan (is) (are) famous all over the world .
Susan ,along with her children, (plan) (plans ) to visit us soon.
The boy, unlike his brothers,(has) (have) curly hair.
One of the prisoners who (was) (were) released yesterday died today.
Nepal is one of those countries which (has)(have )never been colonized.
The room upstairs (is) (are) vacant.
The study of languages (is) (are) interesting.
Either of you (has) (have) to do it.
Whoever (come ) (comes) first will receive a reward.
Bread and butter (is) (are) the basic food in the west.
John and Mary (is)(are)good friends.
John or Mary (is) (are) wrong.
The teachers or the students (is) (are) wrong.
The teacher or the students (is) (are) wrong.
The students or the teacher (is) (are) wrong.
Who (is)( are) wrong , John or Mary?
Who (is)( are) wrong, the teachers or the students?
Who (is)( are) wrong, the teacher or the students?
Who (is)( are) wrong, the students or the teacher?
(Is )(Are) the teacher or the students wrong?
(Is) (Are) the students or the teacher?
Either John or Mary (is) (are) wrong.
Neither the teachers nor the students (is) (are)wrong.
Either the teacher or the students (is ) (are) wrong.
Neither students nor the teacher (is) (are) wrong.
Either you or he (is) (are) wrong.
Neither he nor you (is) (are) wrong.
Either you or I (am) (is) (are) wrong.
The teacher as well as the students (is) (are) wrong .
The students as well as the teacher (is) (are) wrong.
The teacher as well as the student (is) (are) wrong.
She is going away (at ,from,on )the end of this month .
The does of the medicine is written (in ,at,on ) the bottle.
The medicine is (in ,at ,on )the bottle .
I prefer to sit (in ,at, on )the first row .
Who is the old woman (at,on,in )the photograph?
There were too many people (in,on,between )the bus.

Model Question:

1. Reading comprehension

Certainly these men who had so few Spontaneous ideas might be very useful members of society under good feminine direction , if they were fortunate in choosing their sisters –in-law !It is difficult to say whether possibility that another sort of choice was in question in relation to her. But her life was just now full of hope and action :she was not only thinking of her plans ,but getting down learned books from the library and reading many things hastily (that the might be a little less ignorant in talking to Mr. Casaubon),all the while being visited with conscientious questionings whether she was not exalting these poor doings above measure and contemplating them with that self satisfaction which was the last doom of ignorance and folly.

Question:

a)How could the men become good for society ,in the writer’s opinion?

Ans: In the writer’s opinion , the men could become good for society under good feminine direction.

b) What was the writer’s intention behind reading books?

Ans: She intended to be less ignorant while talking to Mr.Casaubon .

c) What was the last doom of ignorance and folly?

Ans : Contemplating over the questiongs with self-satisfaction was the last doom of ignorance and folly.

d)What do you mean by ‘feminine direction’?

Ans: It means ‘direction and guidance give by femals’.

e) What was her hope ?

Ans: Her hope was Mr.Casubon.

2.Use the following words, that have been underline in the passage , in your own sentences:

Spontaneous, hasitly , conscientious, exalting ,contemplating

Ans : spontaneous :His spontaneous expression of fellings was highly remarkable .

Hastliy : He completed the words hastily

Conscientious : The students asked me question very conscientiously.

Exalting : The teacher was exalting the behaviour of the students

Contemplating: They were contemplating over the matters sincerely.

3. Encircle the right answers:

Q.1.The gasoline fumes caused Mike to faint.

a) past out b)break off

c) manage d)figure out

Q.2. We had to postpone the meeting because too many people had the flue.

a) drop out of b) put of

c) called on d)counted on

Q.3. Marina was ……..tired after the long walk to class.

a) quit b)quiet c)quite d)quiete

Q.4. You must remember to …….your reference when you write a paper ..

a) cite b) site c) sight d) light

Q.5. After any war, the world desires a lasting…………

a) peace b)piece c)price d) peece

Q.6. I guess………..not interested because we have not heard from them.

a)their b)there c)they’re d)the

Q.7.The rescures were a welcome …………..for those trapped on the snow-covered mountain.

a) cite b)sight c)site d)mite

Q.8. I have ………..notes here, but I cannot find mine.

a)your b)you’re c)you d) you’r

Q.9. Dr. Hipple will not be coming………the meeting.

a)to b)two c)too d)tow

Q.10. We saw the …………..army from across town.

a) advancing b) advanced

c) advance c) advances

Q.11. Compassionate friends tried to console the ……..children.

a) crying c)cried c)cry d)cries

Q.12.the passive voice of “the fire has caused considerable damage “ is …….

a) Damage has been caused by the considerable fire.

b) Considerable damage has been caused by the fire.

c) Considerable damage have been caused by the fire.

d) Considerable damage is caused by the fire.

Q.13. Your cold sounds………

a) terrible b) terrible c) terribly d) teribled

Q.14.The pianist plays very ………………..

a) good b) well c) the best d) best

Q.15. Classification of the underlined word in “Children often become bored at meetings” is ……….

a) verb b) auxiliary verb

c) noun d)adjective

4. Write a short easy on ‘Present Political Crisis in Nepal’ Ans :

Nepal

is in triangular crisis, no doubt ,making everything upset .

Monarchy, democracy and Maoism have been involved in this crisis King says he is still constitutional monarch. Parties believe that their

Democratic rights have been seized and tyrannical monopoly has been

Imposed on them .Maoists still demand for general pole for constitution assembly and multy-party government .Unfortunately, Nepali people are unnecessarily

suffering in this tugging.

Our living standard is declining everyday . Most of the industries have collapsed. Tourist business is also at the stage collapse. Not only the products but also the sales of the products are decreasing. We Nepali people are suffering in every way.

Nevertheless, we must find a solution to this crisis .All must come to the table of talk .All kinds of conflicts are finally solved through a talk and mutual understanding system .After all, all wish for the democracy ,a political system based on absolute sovereignty inherent to the people .All like democracy because it is regarded as the best form of the government because of its salient features and strengths such as periodical elections, right of equally, right to freedom, rights of life ,liberty and happiness.

Practice for Long questions

FIVE – FINGERS’ PRACTICE QUESTIONS

Comp. Mathematics

Probability

1. A card is drawn from a well shuffled pack of 52 cards. What is the probability that the card will be a king or queen? (Ans:2/13)

2. A box contains 30balls numbered from 1 to 30. If a ball is drawn at random, what is the probability that it will be multiple of 5 or 7? (Ans:1/3)

3. If P (A) =1/4, P (B) =1/3, P (AUB) =1/2. Find P (A∩B). (Ans:8/225)

4. A card is drawn at random from a pack of 52 cards and at the same time a ball is drawn random from a bag containing 2 red balls, 1 blue ball and 1 white ball. Find the probability of the following outcomes.

i) a blue ball and ace card. (Ans:1/3)

ii) a red ball and a red ace. (Ans1/4)

5. A number card numbered from 1 to 30 is drawn randomly, what is the probability of getting a card having the number which is the multiple of 5 or 6? (Ans:1/3)

6. A card is selected from a pack of 52 cards. What is the probability that the card is a 7 or 10? (Ans:2/13)

7. A natural number is chosen at random from amongst the first 100. What is the probability that the number so chosen is divisible by 3 or 100? (Ans:34/100)

8. A dice is thrown; find the probability that the face turned may be even number only? (Ans:1/2)

9. A number card is drawn at random from well shuffled pack of 100 cards; find the probability of getting a prime card. (Ans:6/25)

10. An unbiased die is thrown twice. Find the probability of getting a 4, 5 or 6 on the first toss and 1, 2, 3 or 4 on the second toss. (Ans:1/3)

11. In a bag there are 4 types of balls; black, red, green and blue. Find the probability of getting a ball of black colour. (Ans:1/5)

12. A card is drawn randomly from a pack of cards and a dice is thrown once, determine the probability of getting a card of king as well as 6 on the dice.(Ans:10/13)

13. What is the probability of getting an ace or a queen when a card is drawn randomly from a pack of 52 cards? (Ans:2/13)

14. When a letter is chosen at random from the word “MATHEMATICS”. What is the probability of choosing M? (Ans:2/11)

15. In a class of 20 pupils, 4 out of the 7 girls and 2 out of the 13 boys wear spectacles. What is the probability that a pupil chosen at random from the class is a girl or someone who wears spectacles? (Ans:11/12)

16. Find the probability of occurring flash card having square number or cube number while drawing a flesh card from the flash cards written the number from 4 to 60. (Ans:8/57)

17. From the cards numbered from 2 to 30, a card is drawn at random. Find the probability of getting a card which is a square or a cubic number.(Ans:6/29)

18. From a pack of cards, one card is drawn randomly. Find the probability that the card drawn is either red or an ace. (Ans:7/13)

19. Find the probability of getting a number divisible by 5 or 7 from a well shuffled pack of number cards numbered from 1 to 40. (Ans:3/10)

20. A card is drawn at random from a well-shuffled deck of 52 playing cards. What is the probability that it is a king or a heart? (Ans:4/13)

21. From a pack of cards, one card is drawn at random. Find the probability that the card drawn is either black or a red king. (Ans:7/13)

22. From a pack of 52 cards, one card is drawn at random. Find the probability that the card drawn is either red or face card. (Ans:7/13)

FIVE FINGERS PRACTICE QUESTIONS

CHAPTER- HEIGHT AND DISTANCE

1. A 2 meters tall person observes the angle of elevation of the top of a pole which is in front of him and finds it to be at 45⁰. Find the distance between the person and the pole.

2. From a point 20m far from the foot of a tower, the top of the tower and a flagstaff which is placed on the top of the tower are observed and found the elevations to be 45⁰ and 60⁰respectively. Find the height of the flagstaff.

3. A ladder 10m long reaches a point 10m below the top of a building. At the foot of the ladder, the angle of elevation of the top of the building is 75⁰, find the height of the building.

4. From the roof of a house of 6m high, the angle of elevation of the top of

a temple of 40m height is observed to be 60⁰. Find the distance between

the house and the temple.

5. An observer observed from the top of a house the angle of elevation of

the top of the tower is 45⁰. Find the height of the tower, if height of the

tower is 15m and the distance between tower and house is 100 meters. *

6. A man 1.75 m tall is 50m away from a tower 51.75 m high. What is the

angle of elevation of the top of the tower, from his eyes?

7. A man 1.6 m tall, observes the top of a tower of 61.6 meters high

situated in front of him and finds the angle of elevation to be 60⁰. How

far is the man from the tower? Find it.

8. A tower on the bank of a river is of 36 m height and the angle of

elevation of the top of the tower from the opposite bank is 60⁰. Find the

breadth of the river.

9. The upper part of a straight tree is broken by the wind and makes an angle of 45⁰with plain surface at a point 9 m from the foot of tree. Find the height of tree before it was broken.

Thousand miles journey begin with one step.

10. A circular pond has a pole standing vertically at its centre. The top of

the pole is 30 m above the surface and the angle of elevation at a point

on the circumference is 60⁰.Find the radius of the pond. (12.32m)

11. A person observes the angle of elevation of the top of a mountain to be

30⁰ and approaching 600 m nearer, he finds it to be 60⁰. Find the height

of the mountain. (519.6m)

12. A person standing on the bank of a river canal observes that the angle subtended by a tree on the opposite bank is 60⁰. When he walks away 16 ft, from the bank he finds the angle to be 30⁰; find the height of the tree and the breadth of the canal. (13.85 m ; 8 m)

13. From the top of a cliff, 60 m. high, the angles of depression of the top

and bottom of a tower are observed to be 30⁰ and 60⁰, find the height of

the tower. (40 m)

14. From the top of the 36m high tower, the angles of depression to the

opposite banks of a river are 60⁰ and 30⁰ respectively. Find the width of

the river. (41.38m)

15. A boy of height up to eye level 1.2m is flying a kite from a point on the

ground having string 80 meters long and it makes an angle 65⁰ with the

horizontal line from the eye level of the boy. Find the height of the kite.

(Assuming that there is no slack in the string) Take Sin65⁰=0.906) (73.68m)

16. An observer is 20m away from the tower of 36.5m height. The angle of elevation from the observers eye to the top of the tower is 60⁰. Find the height of the observer up to his eye level. (1.86m)

COMPOUND INTEREST

1. The compound amount of a sum of money in 2 years and 3 years are Rs.12100 and Rs.13310 respectively compounded annually. Find the sum and the rate of interest.

2. A man deposited a sum of money at 9% per year interest compounded yearly and at the end of 3 years, the interest was Rs.1770. What was the original sum deposited?

3. A man borrowed a certain sum of money and paid back in two equal installments. If the rate of compound interest was 4% p.a . and if he paid back Rs.676 annually, what sum did he borrow?

4. A man deposited Rs.1000 in the fixed deposit account of the bank for 2 years at the rate of 12% per annum. The interest is compounded semi annually. How much the amount and compound interest will be at the end of two years?

5. If the simple interest of a sum of money in 4 years at 10% rate is Rs.1000, find the corresponding compound interest for the same time, rate and principal.

6. The compound interest on a certain sum for 2 years at 8% per annum, compounded annually is Rs.312. Find the simple interest on the same sum, for same time and at same rate.

7. The difference between the compound interest and simple interest on a sum of money for 2 years at the rate of 10% per annum is Rs.240. Find the compound interest.

8. Mr. Krishna borrowed Rs.1,30,000 from Mr. Purna at the rate of 21% per annum. At the end of 1 year 6 month:

i) How much simple interest will he have to pay?

ii) How much compound interest will he have to pay?

9. What is the difference between the compound interest and the simple interest on Rs.5120 for 3 years at 12.5% per annum?

10. What will the compound interest on Rs.5000 for 2 years at the rate of 20% compounded per annum? At what time will the same interest on the same sum at the same rate of simple interest?

11. The compound interest on a sum of money in 2 years at 5% per annum will be Rs.120 more than the simple interest. Find the sum.

12. Find the amount and the compound interest on Rs.5000 for 3 years at the rate 10 paisa per rupee per annum, the interest being compounded yearly.

13. Find the compound interest on the Rs.10000 for 3 years if the rates of interest for 3 years are 4%, 5% and 10% respectively.

14. A man invests Rs.3500 for 2 years at compound interest. After one year his money amounts to Rs.3640. Find the interest for the second year.

15. In what time will Rs.64000 amount to Rs.68921 at 5% per annum, the interest being compounded half yearly?

Coordinates Geometry

1 The line x + y = 2 cuts a circle x² + y² = 4 at two points. Find the co-ordinates points where they intersects. [Ans: (2,0) and (0,2) ]

2 Find the equation of a pair of lines represented by the equation 2x²+ 3xy – 2y² =0. Also find the angle between them. (Ans:x + 2y = 0; 2x –y = 0 ; 90⁰)

3 Prove that the line through A(7,2) and B(2,7) is perpendicular to the line x – y + 7 = 0.

4 Find the equations to the line through (2,3) making an angle of 45⁰ with the line x – 3y = 2. (Ans: y -2x +1 = 0; x + 2y = 0 )

5 Find the straight lines represented by the equation y² –xy – 6x² = 0 and find the angle between them. (Ans:y – 3x = 0; y – 2x = 0; 45⁰ ; 135⁰ )

6 Show that the line through P(5,7) and Q(2,8) is parallel to the line x + 3y – 7 = 0.

7 Find the angles between the two lines 2x + 3y = 4 and x + 2y = 3.

8 Find the equation of a circle whose centre is the point of intersection of the lines x + 2y – 1 = 0 and 2x – y – 7 = 0 and which passes through the point (3,1).

9 Determine the centre and radius of the circle that passes through (1,3), (2,-1) and (-1,1).

10 Find the separate equations of the straight lines whose combined equation is ab(x² – y²) + (a² – b²)xy = 0.

11 Find the equation of a circle in which (-2,1) and (3,-4) are the end points of the diameter. Find also the centre and radius of this circle.

12 Find the equation of the perpendicular bisector of the segment joining the points (2,3) and (8,-3).

13 x² + 9xy + 14y² = 0 represents a pair of lines through the origin. Find

i) the equation of each line.

ii) the angle between these lines.

14 Find the equation of a line parallel to 3x + 4y = 12 passing through the origin.

15 Find the equation of a circle having the centre at (h,k) and touching the y-axis.

16 Find the single equation of the two straight lines through origin and perpendicular to the lines 5x² – 7xy -3y² = 0.

17 If the lines 3x + 4y – 12 = 0 and 6x + ky + 9 = 0 are parallel, find the value of k. (Ans:8)

18 Find the equation of a line perpendicular to the line 5x + 7y – 12 = 0and passing through (2,3) . (Ans: 7x – 5y + 1 = 0)

19 Find the equation of the tangent to the circle x²+ y² – 10x – 6y + 16 = 0 at the point (8,6) (Ans: x + y -14 =0)

20 If the two lines 5x – 7y + 2 = 0 and 7x + ky + 8 = 0are perpendicular, find the value of k. (Ans: 5)

Coordinates Geometry

21 A circle passes through the origin and intersects the axes at (a,o) and (o,b). Find the equation of the circle. (Ans: x² + y² – ax – by = 0)

22 Prove that the lines represented by the equations 16x² + 11xy – 16y² = 0 are perpendicular lines through the origin.

23 The equation of a circle is 2x² + 2y² – 2x + 6y = 45. Find the coordinates of its centre and its radius. [Ans: (1/2,-3/2) ; 5 units]

24 The equation of a circle is x²+ y² – 4x – 6y – 12 = 0 . Find the coordinates of its centre and its centre. [Ans: (2,3) ; 5 units]

25 Find the slop of the straight line perpendicular to 4x + 3y = 12. (Ans: ¾)

26 If the line passing through (3,-4) and (-2,a) is parallel to the line given by the equation y + 2x +3 = 0, find the value of a. (Ans:8)

27 Determine the equation of the line passing through the midpoints of the line joining the points (3,4) and (-1,-6) and perpendicular to the line 3x – 8y + 7 = 0) (Ans:8x + 3y – 5 = 0 )

28 If (2,3) and (-6 ,5) are the end points of one of the diagonal of a square , find the equation of the other diagonal. (Ans: 4x – y + 12 = 0 )

29 Find the equation of the altitude of triangle ABC with vertices A(2,3), B(-4,1) and C(2,0) drawn from the vertex A(2,3). (Ans: x – y + 1 = 0 )

30 Find the equation of the line passing through the point of intersection of the lines x + 2y = 4 and x – 2y = 0 and perpendicular to the line 6x – 7y + 8 = 0.

(Ans: 7x + 6y = 20 )

31 Find the equation of the pair of lines represented by the equation x² – 2xycosecθ + y² = 0 ). Also find the angle between them.[Ans: x = (cosecθ + cotθ) y; x = (cosecθ - cotθ) y; tan^-1( ⁺- cot θ) ]

32 Find the acute angle between the pair of lines represented by an equation

½ x² + 2xy + ½ y² = 0 . ( Ans: 60⁰)

33 Find the obtuse angle between the pairs of line represented by equation

x² – 2xy secA + y² = 0. (Ans: 180⁰ – A )

34 For what value of k , the lines represented by the equation

(10k-1)x² + (5k+3)xy + (k-1)y² = 0 are coincide? (Ans: 5)

35 For what value of p , the lines represented by the equation

(p+5)x² -5xy –(3p-1)y² = 0 are perpendicular. (Ans: 3)

36 In which point do the lines represented by the equation

(p+1)x²+ (1-2p)y² – 3x + 3y = 0 intersect perpendicularly?

Also find the value of p. [Ans: p=2; (½,½)]

37 Find the equation of circle having centre (0,2) and radius is 3 units.

(Ans:x² + y² -6x -16 = 0 )

38 Find the equation of the circle which touches the X-axis at a point (3,0) and passes through the point (1,2). (Ans: x² + y² – 6x – 4y + 9 = 0 )

39 What is the length of the radius of the circle having centre at P(3,4) and that touches the X-axis at (3,0) ? (Ans: 4 units )

40 The equations of two diameters of a circle passing through the point (3,4) are x + y = 14 and 2x – y = 4. Find the equation of the circle and show that it passes through the origin. (Ans: x² + y² -6x – 4y + 15 = 0 )

Coordinates Geometry

41 A circle has radius 5 units and the equations of its two diameters of the circle are 2x – y = 5 and x – 3y + 5 = 0. Find the equation of the circle and show that it passes through the origin. (Ans: x²+ y² – 10x – 8y + 16 = 0 )

42 Find the equation of a circle which passes through the points (-2,0) and (0,-2) and its centre lies on the line 2x – 3y + 1 = 0. (Ans: x² + y² – 2x – 2y – 8 = 0)

43 If the radius of the circle x² + y² -6x – 4y + k = 0 is 2 units. Find the value of k. (Ans: 9 )

44 If circle x² + y² + ax + 2y – 4 = 0 passes through (2,2). Find the centre of the circle. [Ans: (2,-1)]

45 Find the equation of the circle whose centre is (2,-1) and touches the line

3x – 4y + 1 = 0. (Ans: 25x²+ 25y² – 100x + 50y + 4 = 0 )

46 Show that the points (5,2), (5,0), (-1,-4) and (1,6) are concyclic points.

47 Find the equation of the circle whose centre is (4,5) and it passes through the centre of circle x² + y² + 4x + 6y -12 = 0. (Ans:x² + y² – 8x – 10y – 59 =0 )

48 Find the equation of the circle whose centre is (-1,-2) and which has the same radius as the circle x² + y² + 3x – 7y -2 = 0.(Ans:2x² + 2y² + 4x + 8y – 23 = 0)

49 If one end of a diameter of the circle x2 + y2 - 4x – 6y + 11 = 0 is (1,2) , find the co-ordinates of other end. [Ans:(3,4)]

50 Find the equation of the circle which touches both the axes and whose centre lies on the line x – 2y = 3. (Ans: x² + y² + 2x – 6y – 15 = 0 )

51 Find the equation of circle which pass through the point(3,2)vand (5,4) and has its centre on the line 3x + 2y + 1 = 0. (Ans: x² + y²+ 4x – 8y + 11 = 0)

52 Find the equation of circle tangent to the line 3x + y + 3 = 0 at (-3,6) and tangent to x + 3y -7 = 0 .

(Ans: x² + y² – 6x -16y + 33 = 0 ; x² + y²+ 9x – 11y + 48 = 0)

53 Find the equation of the circle which is tangent to the line 2x – 3y + 1 = 0 at (1,1) and having radius √13.

[Ans: (x-3)²+ (y+2)² = 13 ; (x+1)² + ( y-4)² = 13 ]

54 Find the equation of the circle which passes through the point ( 5,4) and is concentric with the circle x² + y² – 8x -12y +15 = 0 (Ans: ^x2 + ^y2 -8x -12y + 47)

55 Prove that the pair of lines given by 6x² + 9xy – 6y² = 0 are perpendicular to each other.

Coordinates Geometry

1 Write down the formula for the angle between the pair of lines y = m₁xand y = m₂x + c₂ , stating also the condition when they are + c₁ parallel(coincident)and perpendicular o each other.

2 Find the acute angle between the pair of lines through origin represented by the homogeneous equation of the second degree 2x² – 5xy + 2y² = 0.

3 Find the equation of the straight lines passing through the point (2,3) and making an angle of 45⁰ with the line x – 3y = 2.

4 Find the equation of the circle having centre at (5,4) and that touches the y – axis.

5 Prove that 6x²– xy –y² = 0 represents a pair of straight lines passing through the origin.

6 Show that the two lines represented by 2x² + 4xy + 2y² = 0 are coincident.

7 Find the equation of circle when the co-ordinates of the ends of the diameter are (-a, a) and (a, a).

8 Find the equation of the line which passes through (-4,1) and is parallel to the line joining the points (-7, 5) and (-2, 2).

9 Find the angle between two lines represented by x² – 2xy secA + y² = 0.

10 Find the equation of the circle which touches the x-axis at the point (3, 0) and passes through the point (1, 2).

11 Prove that the two lines represented by the homogeneous equation of second degree 3x² + 8xy – 3y² = 0 are perpendicular to each other.

12 Find the acute angle between the lines x –y -5 = 0 and x – 7y + 7 = 0.

13 Find the centre of the circle x² + y² + 6x – 8y -11 = 0.

14 Find the equation of the line which passes through (2, 3) and perpendicular to the line joining the points (5, 7) and (-6, 3).

15 Find the equation of the circle which touches the x-axis at the point (4, 0) and passes through the point (2, 2).

Optional Mathematics

Coordinates Geometry

16 Find the equation o the pair of lines represented by the equation x² – 5xy + 6y² = 0.

17 Find the equation of circle with centre at (-3, -4) and radius 6 units.

18 Find the centre and radius of the circle x² + 2gx + y² +2fy = -c.

19 Write down the formula for the angle between the straight lines represented by the equation ax² + 2hxy + by² = 0. State the condition when they are coincident and perpendicular to each other.

20 Write the condition when general equation of 2^nd degree in x and y represents the equation of circle. Also find centre and radius of circle x² + y² = 17

21 Find the equation of the circle which touches x – axis at (-3, 0) and cuts off an intercept 8 units from the positive part of y-axis.

22 Find the equation of the circle with centre (2,3) and passing through a point (6,6)

23 Find the equation of the perpendicular bisector of the line joining (2,3) and (10, 15).

24 Find the equation of a circle whose centre is at (4, 5) and one of its tangent being the line 3x – 4y + 2 = 0.

25 Find the separate equations of the lines represented by the equation 2x² +5xy – 3y² -2x -6y = 0.

26 For what value of ‘P’ the lines represent by 6x² + 4pxy + 6y² = 0 are coincide?

27 Find the equation of a straight line which bisects the join of (5, 4) and (-7, 0) and perpendicular to the line join of (6,-5) and (0, -3).

28 Find th obtuse angle between the two lines represented by the equations y – (2 - √3) x = 5 and y = (2 + √3) x – 7.

29 Find the equation of the circle which passes through the point

(5, 4) and is concentric with the circle whose equation is

x² + y² – 8x -12y + 15 = 0.

30 If the perpendicular distance of the line 3x – 4y + 2 = 0 from the

centre of the circle x² + y² –ax + 6y -12=0 is 4, find the value of a.

Sub: Science(Physics)

1 State law of gravitational. Write the difference between acceleration due to gravity and gravitational constant.

2 Established the relation between acceleration due to gravity and radius of the earth. Under what condition does a coin and feather fall together, write with reason.

3 State Pascal’s law. The different weight of a piece of stone on weighing in three different media – air, water and salt solution are shown on the table:

Medium Weight

A 15N

B 18N

C 16N

i) Which media are A, B and C?

ii) Which one of the A and C has more density?

iii) What up thrust is exerted when the body is immersed in medium C.

4 Prove that P = dgh. It is easy to swim in salty water than in pure water.

5 Define specific heat capacity. What mass of a liquid A of specific heat capacity 0.84 J/ g ⁰C and at a temperature 40⁰C must be mixed with 100gm of a liquid B of specific heat capacity 2.1 J/ g ⁰C and at 20 ⁰C, so that the final temperature of the mixture becomes 32⁰ C ?

6 Explain what energy crisis .Write two ways is to be protected from the state of energy crisis.

7 Define motor effect. Write the working principle of transformer.

8 The birds can stay on the high voltage transmission wire on the poles. How?. The number of turns in primary winding of a certain transformer is 150 times more than that in the secondary winding. Calculate the input emf generated in the primary winding if the emf generated in the secondary winding is 220 volts.

9 Define universal gravitational constant. Prove that F= G M x m .

R²

10 What do you mean by weightlessness in space? The mass of the earth is 6 x 10²⁴Kg. If the distance between the earth and a mass of 1 Kg is 6.5 x 10⁶ m.

i) What is the force of attraction between them?

ii) What is the acceleration of the mass towards the earth?

iii) What is the acceleration of the earth towards the mass? (Given: G= 6.67 x 10^-11 Nm²kg^-2)

11 What is hydraulic press? On what principle does it work ? Write three uses of it. What do you mean by anomalous expansion of water? Explain how aquatic animals be alive in a frozen pond?

12 What is Geo-thermal energy? In order to solve the energy crisis in Nepal, which source of energy should we use and why?

13 State Faraday’s laws of electromagnetic induction. Define step up and step down transformer.

14 Why is fuse connected in a live wire? How do you obtain 10,000 volts from 250 volts a.c? If the no. of turns in primary coil is 1000. What should be the number of turns in secondary coil?

15 Define acceleration due to gravity. What are the factors affecting it? What is the value of ‘g’ at the centre of the earth?

16 Why the intensity of the gravitational field of the Jupiter is larger than that of the earth? Calculate the intensity of gravitational field of Jupiter.

M=19 x 10²⁶ Kg R= 71 x 10³ Km and G=6.67 x 10^-11Nm²/Kg²

17 State Archimedes’ principle. Densities of some substances are given. Answer to the following questions below:

Substances Density

X 11 g / kg⁰C

Y 8 g / kg⁰C

Z 0.9 g / kg⁰C

i) Which substance will have least volume if equal mass of all are taken?

ii) Which one will float on water?

18 Steel balls sink in water but not in mercury. Why? If wooden block with density 0.75 gm / cm³ and dimensions 20 cm thick, 30 cm wide and 50 cm long is put into water. What is the thickness of wood submerged under water surface? (the density of water is 1 gm / cm³)

19 Answer the following questions on the basis of the given table below:

Substances Specific heat capacity

A 910 J / kg⁰C

B 380 J / kg⁰C

C 470 J / kg⁰C

i) The specific heat capacity of substance ‘C’ is 470 J / kg⁰C, what

does it mean.

ii) If equal heat is given to equal masses of the three substances, which one will have the lowest temperature?

iii) Which substance will gain more temperature while heating equal mass of all three substances with equal amount of heat?

iv) Which substances will penetrate to the greatest depth of each with equal mass are put on a wax-slab after heating to 100⁰C each. Why?

20 What is nuclear fusion? State two conditions necessary for the nuclear fusion takes place on the sun surface.

21 Define mutual induction. What is a generator? On which principle does it work? What happens when an a.c. current is passed through it?

22 What is a transformer? Give two differences between step up and step down transformer.

FIVE – FINGERS’ PRACTICE QUESTIONS

Optional Mathematics

Sequence and Series

1 Difference between sequence and series with an example.

Ans: Sequence: A set of numbers arranging in a definite order is called

sequence. The terms of sequence are denoted by t₁, t₂, t₃, …

and separated by comma.

For example: 1, 3, 5, 7, … is a sequence.

Series: The sum of the terms of a sequence is called series. So, if the

terms of the sequence t₁, t₂, t₃, t₄, … are expressed in

t₁+t₂+ t₃+ t₄+… the this expression is called series.

For example 1+3+5+7+9+ … is a series.

2 Find the arithmetic mean and geometric mean between 6 and 54.

3 If a₁=1, a₂=3, and a_n=a_n-1+ 2, find a₄.

4 If the 12^th term of an A.P is 23 and the sum of the first 22 terms is 484, find the first term and the common difference of the series.

5 The 3^rd term and 6^th term of a G.P are 1/3 and 1/81 respectively. Find the sum of the first 6^th terms.

6 If the 5^th term of an A.P is 27 and the 19^th term is 55, find the sum of the first 10^th terms.

7 The sum of the first 8 terms of a G.P is 5 times the sum of first 4 terms. Find the common ratio.

8 If 5^th and 8^th terms of an arithmetic sequence are 22 and 34 respectively, find the 10^th term.

9 If the geometric mean between two numbers 27 and 1/27 is 1, find the number of means.

10 Is 44 a term of the arithmetic sequence 17, 20, 23, … ?

11 The sum of the three numbers in A.P is 51 and the product of their extremes is 273. Find the numbers.

12 The sum of the first three terms of a G.P is 7 and the sum of their squares is 21. Determine the first three terms.

13 If x, 6, y, 24, p are in geometric sequence, find the values of x, y, p given that the common ratio is positive.

14 In a G.P , 2^nd term is 48 and 5^th term is 6. Find the sum of first 6^th terms.

15 The last term of an arithmetic series of 20 terms is 195 and the common difference 5. Calculate the sum of the series.

16 Find two numbers whose arithmetic mean is 5 and geometric mean 4.

17 Find the value of p , if (p+2), (4p – 6) and (3p – 2) are the first three terms of an A.P

18 How many terms of the series 24 + 48 + 72 + … will add up to 504?

19 Two numbers are in the ratio of 5:3 and their A.M is 40, find the numbers.

20 Find the last term of the sequence x, 2x, 3x, … to 20 terms.

21 Find the last term of the sequence a-d, a + d, a + 3d … to 30 terms.

22 The first term and the last term of an arithmetic series are -24 and 72 respectively. If the sum of all the series is 600, find the number of terms and the common difference of the series.

23 Sum of first three terms of an A.P is 21. If the sum of the two terms is subtracted from the third term then it would be 9, find the three terms of the series. In a arithmetic series, the sum of the first ten terms is 520. If its seventh term is double of its third term, calculate the first term and the common difference of the series.

24 Insert 6 A.M between -3 and 32.

25 How many terms are there in the sequence 13, 16, 19, 22, … 139? Find also the sum of the sequence.

26 The fourth term of an A.P is equal to 3 times first term. If the 7^th term is 30, find the sum of first 15 terms.

27 Divide 15 into three parts which are in A.P. Their product is 120.

28 How many arithmetic means are there between 2 and 11 such that the ratio of first mean is to last mean as 7 : 19.

29 If 6 arithmetic means are inserted between 2 and b and the fourth mean is zero, find the other means and value of b.

30 Find the 9^th term of the G.P 32, 16, 8, …

31 Which term of the series 27 + 9 + 3 + … is 1/18 ?

32 The geometric mean between 1/9 and y is 2, find the value of y.

33 If 16 is the G.M of x and x³, find the values of x.

34 Show that t_n = 3 (4)^n-2 is a G.P.

35 If (p+10) is G.M of (p+2) and 9(p+2), find p.

36 If the p^th term of the 2, 4, 8, … is 128, find the value of p.

37 Insert two geometric mean between 9 and 8/3.

38 Find the 4^th term of a geometric sequence whose 2^nd term and 5^th terms are 6 and 162 respectively.

39 The second term of a G.P is 6 and the 5^th term is 162. Find the sum of its first 5 terms.

40 Find the geometric series whose 5^th and 8^th terms are 81 and 2187 respectively.

41 The sum of the first four terms is 40 and the sum of the first two terms is 4 of a geometric series whose common ratio is positive, find the sum of first eight terms.

42 In a G.P 7^th term is 8 times of the 4^th term and the sum of the first 2 terms is 15. Find the G.P.

43 Insert five G.M’s between 35 and 2240.

44 If 2/3, x, y, -1/96 are in G.S, find the value of x and y.

45 If the 3 terms of G.P are (x+6), x and (x-3) find x and its fifth terms.

46 The sum of three numbers in G.P is 38 and their product is 1728. Find the numbers.

47 If the arithmetic and geometric means between two numbers are 5 and 4 respectively, find the numbers.

48 3 + 6 + 12 + ………+768 is the given series.

i) How many terms are in the series?

ii) Find the sum of the series.

49 There are some geometric means between 5 and 80. If the second mean be 20. Find the number of means between the two numbers. Also find the last mean.

50 Divide 183 into three parts in a geometric sequence. If the sum of the first and third term is 41/20 times the second term, find the term of the sequence.

51 Three numbers whose product is 512 are in G.S. If 8 is added to the first and to the second, so that the numbers are in arithmetic sequence, find the numbers.

52 The product of 5^th , 7^th and 9^th term of a geometric sequence is 27. Find the 7^th term.

53 The third term of a geometric sequence is 4. Find the product of its first five terms. (Ans: 1024) The sum of 3 terms in an arithmetic series is 15. The geometric mean of the first term and the third term is 4. Find the numbers. ( Ans: 3, 5, 8 or 8, 5, 3 )

FIVE FINGERS’ PRACTICE QUESTIONS

CHAPTER-SETS

(Problems involving two sets)

(Note: Show the Venn-diagram for each below questions)

1. In a survey of city market, it was noted that 300 families were randomly

selected out of which 143 used Colgate toothpaste and 135 used

Pepsodent toothpaste and 70 families used both. Find the number of

families who used non of these two brand in the city. (Ans:12)

2. In an examination 85% of the candidates passed in mathematics, 70%

passed in science and 10% failed in both the subjects. Find what

percentage of the candidates passed in:-

a) mathematics only (Ans:20%)

b) science only (Ans:5%)

c) both the subjects. (Ans:65%)

3. Out of a group of 60 people, 40 speak Nepali and 25 speak both English

and Nepali and all the people speak at least one of the two languages.

How many people speak:-

a) nepali only? (Ans:15)

b) english only? (Ans:20)

4. Out of 45 students in your class 20 like indoor games and 25 like outdoor

games whereas 15 like neither. Find

a) how many like both games? (Ans:15)

b) how many like indoor games only? (Ans:5)

c) how many like outdoor games only? (Ans:10)

5. In a group of 156 persons, 48 drink tea but not coffee and 99 drink tea.

Find how many of them drink

a) tea and coffee. (Ans:51)

b) coffee but not tea. (Ans:57)

FIVE FINGERS’ PRACTICE QUESTIONS

CHAPTER-SETS

(Problems involving two sets)

(Note: Show the Venn-diagram for each below questions)

6. In a family of 25 members, 15 like meat, 12 like fruit and 10 like both.

Find a) how many like none of these? (Ans:8)

b) how many like only one item either meat or fruit? (Ans:7)

7. In a class of 30 students, 20 students like to play football, 15 like play

cricket and each student likes to play at least one of the two games. How

many students like to play both cricket and football? (Ans:5)

8. A survey was conducted in 1500 people. It has found that 800 people read

Daily, 1200 Weekly and 600 read both types of newspapers. Find the rest

those who do not read any types of newspapers. (Ans:100)

9. In a survey of a community, 45% of the people like Dashain festival,

65% like Tihar festival and 20% like both festivals. What percent of

people do not like both festivals? (Ans:10%)

10. In an examination, 70% of the candidates passed in English, 65% in

Nepali, 27 failed in both the subjects and 248 of them passed in both the

subjects. What is the total number of candidates? (Ans:400)

FIVE FINGERS’ PRACTICE QUESTIONS

CHAPTER-SETS

(Problems involving three sets)

(Note: Show the venn-daigram for each below questions)

1. Out of 68 students in a language institute, 30 take French, 50 take English

and 24 take German. If 14 take French and English, 22 take English and

German and 10 take French and German. How many take all the three

subjects? (Ans:10)

2. In an examination 25% students failed in Nepali, 35% failed in science

and 40%failed in Mathematics, 15% failed in Nepali and science, 10%

failed in Nepali and Mathematics,15% failed in science and mathematics

and 5% failed in all these three subjects. Find

a) what percentage of the students passed in all subjects? (Ans:35%)

b) What percentage failed only in one subjects? (Ans:35%)

c) What percentage failed exactly in two subjects? (Ans:25%)

3. After H.S.L.C examination, it was asked for 77 students of Ideal Model

School, 31 said they want to join science, 35 said management, 28 said

Humanities where 3 said all three faculties. Find the number of students

who wants to joins exactly two subjects and at least two

subjects (Ans:20;23)

4. In a survey of some people, it was asked whether they like America,

Nepal or Japan, 50% said they like America, 60% Nepal and 40% liked

Japan, 318 people liked all three countries. If 25% liked America and

Nepal, 25% liked Nepal and Japan, 20% liked America and Japan. Find

how many people were interviewed? (Ans:1590)

FIVE FINGERS’ PRACTICE QUESTIONS

CHAPTER-SETS

5. Out of 20 candidates, 15 can speak local Newari language other than

Nepali language, 8 can speak Bhojpuri, while 3 can not speak any local

language .Find the number of candidates who can speak at least one

language and who can speak both languages. (Ans:17; 6)

6. Bal Vikash School found that out of 144 students, 70 opted for science

subjects, 40 for Humanities and 34 for Computer Science. Of these, 14

wanted to do both Science and Humanities, 8 wanted to do Humanities and

Computer science, 12 science and Computer Science and 4 opted for all

three subjects. The remainder wanted to do accountancy. Find the number

of students opted for Accountancy. (Ans:30)

7. Of the 100 students in an examination, 42 offered Mathematics, 35

offered Physics and 30 offered Chemistry, 20 offered none of these

subjects, 9 offered Mathematics and Chemistry, 10 offered Physics and

Chemistry and 11 offered Mathematics and Physics, find

a) the number of students offering all three subjects. (Ans:3)

b) the number of students offering Mathematics only. (Ans:25)

c) the number of students offering Physics and Chemistry only.(Ans:27)

8. In a group of students 18 reads Account, 19 read Mathematics and 16 read

History, 6 read Account only, 9 read Math only, 5 read Account and Math

only and 2 read Math and History only.

a) how many read all the subjects? (Ans:3)

b) how many read Account and History only? (Ans:7)

c) how many read History only? (Ans:25)

d) how many students are there altogethere? (Ans:36)

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