PRACTICE MATH AFER SEE

13. The modalclassof following data.is,

Class 0-20 20-40 40-60 60-80 80-100
8s
Frequency 3 6 2

a. (0-20) b. (20- 40)
d. (60 - 80)
c. (40- 60)

X 814. Caleulate the median of the data. 25
10 15 20 2
65
a b. 10

c 15 d 20

15. The median of an ungrouped data, arrange them ascending

or descending order for number of observation n (odd) is

the value of ..... ... observation.

ab

c. d

16. The median of an ungrouped data, arrange them ascending

or descending order for number of observation n (even) is

the value of. ..... observation.

a b.averageof(&(

c. d

17. In a factory, the daily wages of 30 labours is Rs. 25, 35

laboures is Rs. 36 and 20 labours is Rs. 45. What is the

modal wage of the factory?

a. 36 b. 25

C. 30 d. 45

18. If mean () = 33, E fx = 1096 + 25 P and Ef = 32 + P then
what is the value of P?

a. 3 b. 6
c. 4 d.

19. What is the first quartile of 9, 15, 14, 16, 19, 20 and 17?

a. 9 b. 14

c. 15 d. 16

142

Eind the sum of upper quartiles and lower quartiles of 8, 6,
20. 12, 20, 3, 15 and 28

a. 6 b. 25
c. 26 d. 14

The mean of 3 different numbers is 5 and the mean of 4

21.

different numbers is 12. Find the mean of there 7 numbers.

a. 7 b. 8
C. 9 d. 8.5

22 The mean of 7 numbers is 10. If each number is multiplied
by 2 then the neW mean becomes.

a. b. 15
d. 70
C. 20

23. Find the arithmetic mean of first 8 even numbers.

a. 7 b. 9

C. 10 d. 11

24. The mean of 15 numbers is 9. If 2 is subtracted to every
numbers. What will be the new mean?

a. 5 b. 6
C. 7
d.8

25. The mean of 14 numbers is 51. If number is eliminated and

the mean beconies 52, what is the eliminated number?

a. SI b 52

C. 38 d. 48

26. If the arithmetic mean of 12 numbers is 12. If the numbers

in the ratio 1:3:9 are added, the mean become 12.2, find the
number.

a. 3,9, 27 b. 1,3, 9

C. 1/3, 1,3 d. 1/9, 1/3, 1

27. The arithmetic mean of 15 numbers is 12. When two
numbers are eliminated the mean becomes. 11, if the
difference of the eliminated numbers is 3, find the numbers.

a. 8, 11 b. 11, 14
C. 14, 17 d. 17, 20

28. ln general measure of central tendencyused in.

a, Mean b. median
d. All of the above
C. Mode

143

29. The mean of first 6 prime numbers is

a. 6.83 b. 6.58

C. 6.50 d. 6.25

30. 10 observations are arranged in ascending order, the frh
and sixth observations are 12 and 13 respectively. What is
the median value of all the observation?

a. 11 b. 12.5

C. 13 d. 14

31. What is the sum of 20 numbers where means is 20?

a. 200 b. 300

C. 350 d. 400

32. The average weight of 20 girls is 25 kg. and the average

weight of 30 boys is 40 kg. Find the average weight of all of
them?

a. 20 kg. b. 25 kg.

C. 34 kg d. 35 kg

33. IfM be the median and m the mode, of the following set of
numbers: 10, 70, 20, 70, 90. What is the average of M and
m?

a. 50 b. 55

c. 60 d. 70

Answers: d 5. a|7. b|8. b9. c 0.

b2. 25 26 a27d28d29as0b

144

Past Questions KU

area of the triangle formed by the points (1,1), (2,2),

1.

(3,3) is:

a. 16 b. 2
d. 0
C. 8

In a group of 200 students half percent are failed. How

2.

many students passed?

a. 100 b. 105

C. 199 d. 198

Ifx-=2, ind thevalueof x'+ 1/x*:

3.

a. 3 b. 4
C. 5
d.6

4. The diagonals of parallelogram:

a. are perpendicular to each other

b. donoint tersect

C. are equal

d. bisect each other at 90°

5. The quartile of a data in a statistical series divides the series
in

a. two parts b. three parts

C. four parts d. five parts

6. The meter reading of taxi starts from Rs 10 and then Rs 12
is charged per km. How far one can reach if he wishes to
pay at most of Rs 154?

a. 9km b 10km

C. 11km d. 12km

7. The ratio of two numbers is 3:5 and their sum is 32, find the
numbers.

a. 12, 12 b 16, 16

c. 20, 20 d. 12, 20

145

8. Two numbers are in the ratio of 2:3. When 4 is added to
each term the ratio becomes 3:4. Find the numbers.

a. 12 & 4 b. 3 & 5

C. 8 and 12 d. 5 & 12

9. Find the circumference of the base of a right circular

cylinder with volume 3600cm and the product of radius and
height is 72cm²

a. 50cm b. 80cm

c. 100cm d. 120cm

10. Sarina has Rs. 6750 left after paying in income tax of 10
paisa in Rs. 1. Find her income.

a. Rs.7000 b. Rs.7500

C. Rs.8000 d. Rs.85S00

11. Valueor is equal to .. eeeeeeee

17 b. 71

a. 72

C. 72 d. 17

12. Two years ago, the population of the town was 200,000. If
the population growth rate is 10% what is the present
population of the town.

a. 2,42,000 b. 4,00,000

C. 2,00,000 d. 180,000

13. If mean =30 and mode = 15,then median is:

a. 15 b. 25

C. 30 d. 45

14. If three numbers 2k-3, 3k and Sk - 2 are in AP. Find the
value of k

a. 5 b. 6

c. 25 d. 4

15. Which constant number must be added to each of 2,7, 17
and 37 to make them in proportion?

a. 2 b. 3

C. 5 d. 1

146

]-$J-$]Value of is equal to

16.

a. 0 b. 1,
C. 2
d. 3

10

17. Evaluate: g-+5T

a. b. 7

c. d.

18. T 1S *********. number. b. a rational
a. an integer d. an irrational
C. a fraction

19. If the length of the diagonal of a square is 2y2, what is its
area?

a. 4 cm' b. 2\2cm?

C. 4VZcm? d 2cm?

20, es. must be added to x -2y- 3z to make 2x + 5z.

a. x+2y+z b. 2x + y + 8z
c. x+2y+ 8z
d. All

21. Find the marked price of book which costs Rs. 160 after a
discount of 20%.

a. Rs.300 b. Rs.200

C. Rs.250 d. Rs.290

22. In a group of students, 25 play Hockey, 30 play Football

and 8 play neither game. The number of students who play

both games will ebeeeeeeeeeeee

a. 10 b. 15

C, 13 d. 18

23. The median from the values: 31, 25, 20, 18, 35, 60, 27, 40, 20

&43 is .... seeeee

a 29 b. 20

C. 24.5 d. 29.5

147

24. If6 is added to the square of a number, the result is 31, find

the number.

a. 5 b. ±3.5

C. +5.2 d. + 2.5

25. A box contains 12 balls. The probability of getting a red ball
is 2/3 and white ball is 1/7. The number of red balls in bor

Was ..s. b. 4
a. 8

c. 12 d. 16

26. The area of a triangle with sides 9.0 cm, 12.0 cm and 15.0
cm is .....cm.

a. 40.0 b. S4.0

c 60.0 d 80.0

27. My salary was first inereased by 10% then decreased by
10%, what is the percentage change in my salary?

a. 2.2 b. 1.5

c. d. None

28. At a speed of 48 miles per hour, how many minutes will be
required to drive 32 miles?

a. 40 b 45

C. 50 d. 100

29. The circumference of the base of a cone is 44.0cm and the

sum of its radius and slanting height is 32.0 cm. The total

surface area is ....... cm*

a. 302.0 b. 44.0

c. 102.0 d. 704.0

30. The element(s) of power set of (1, 2, 3) is/are ..... e***..

a. b. {1,2)

C. {1,2, 3} d. All of the above

31. Find the perimeter of the base of a hemisphere whose total
surface area is 108T cm.

a. 40.16 cm b. 36.14 cm

C. 25.14 cm d. 39.16 cm

148

Evaluate'x'where 3+3'= 108:
32.
a. 3 b . I5

c. 6 d. 12

The diagonal of rhombus bisect each other making angle
33.

a. 0° b. 45°
C.: 60° d. 90°

Given that 176S = £ 100 and £ 1 = Rs. 119. Find in S for Rs.
34.

8425?

a. $124 b. $132

c. $142 d. $112

35. Find the LCM of 9, 15 and 18:

a. 20 b. 45

C. 35 d. 90

36. If the volume of a spherical object is 9r/2cm, its diameter
will be...

a. 30 cm b. 0.3 cm

C. 3 cm d. 0.6 cm

37 The total surface of a hemisphere having the diameter 21.0

cmis ...... cm.

a. 4185.0 b. 2185.0

C. 2068.0 d. 1245.79

38. Find the slope of line 3x - 6y + 2 = 0

a. 1 b. 2

1 d..:

C. 2

39. If 8 men or 12 women can do a piece of work in 6 days, in
how many days can 6 men & 9 women do it?

a. 4 days b. 6 days

C. 3 days d. S days

40. Which of the following collection is not set?

a. all positive even numbers
b. all triangles of 4 sides

C {u, m, b, r, e, i, a)
d. all the handsome boys of Kathmandu district.

149

41. The fourth term (properties) of proportion 3, 5 & 12 is

a. 14 b. 8
d. 12
C. 20

42. The ratio of the ages of a man & his son is 7:2. After S years
their ages will be in the ratio 8:3. Find the present ages of
cach.

a. 35 yrs and 10 yrs b. 10 yrs && 40 yrs

c. 20 yrs & 50 yrs d. S yrs & 25 yrs

43. A & B are two disjoint sets with n(A).= 25 & n(B). = 16.

What are thevaluesof n(A U B) & n(An B)?

a. 25 & 16 b. 25 &0

C. 16& 20 d. 41 &0

44. Factorize: 2 tan'A + tan A -6

c.a. (2 tan A+3) (tan A -2) b. (2 tan A -3) (tan A + 2)
(3 tan A + 3) (tan A -3) d. (2 tan A - 2) (3 tan A - 2)
45. Find the value of: cos15°- cos75°

b.

1 d.

C.

46. Find the area of the curved surface of cylinder, if it's height
is 10cm & radius of the base is 7em.

a. 240 cm b. 340 cm

c. 440 cm d. 540 cm

47. If n(U) = 20, n(A). = 10, n(B). =8 and n(AUB) = 16 then find

n(An B) b. 18

a. 8

c. 16 d. 2

48. At a point on the ground, 12 m way from the foot of the
angle of elevation of the top of the tree is 50 Calculate the
height of tree.(tan50°= 1.191)

a. 14.29cm b. 1.49m

C 14.29m d)1.49cm

150

bought 11000 Japanese yen from Nepal Rastra bank

49. with Ds. 5300, find the exchange rate between Japanese yen
and Nepali Rupces.

Rs. I=1.07 yen b. Rs. I=2.07 yen
d. Rs. 12.5yen
1.
c. Rs 1=2.3yen

Ir the sum of two angles is 180", what are the angles called?

50. Complementary angle

Acute angle b.

1.

Obtuse angle d. Supplementary angle

C.

What are the two numbers whose AM is 34 and GM is 16?

51.

64 and 6 b. 4 and 6

C. 64 and 4 d. 6 and 4

Ir16=2* find thevalueof x:

52.

b2

C3 d. 4

53 The area of AABC is: b. Vs(s-a)(s-b)(s-c)
d. ½ ab
a. base x height
C. V½ bc % bc SinA

S4. The homogenous equation of second degree in x and y
represents:
a. a pair of line passing through origin
b. a pair of line any where

C. a circle
d. a circlc through origin

55. The probability of getting red card in well-suffled deck of

52 playing cards is:

a. 13/52 b. 1/2

C. 25/52 d. 3/4

56. Find the area of an equilateral triangle whose side is 6 cm

a. 3V3cm b. 6v3 cm
C. 8V3cm? d. 93cm

57, Find the value of sin60°. cos30°. tan30°:

a. b. y3/2

c. V3 /4 d. 1W3

151

58. In a right-angle triangle ACB in which

AC= X, AB = 12 and Angle ACB=30°

find the value of x. 12
a. 12cm
b. 18cm

C. 24cm d. 30cm C

59. Where does the line y=3r-2 meet y-axis?

a. (1,-2) b. (0,-2)
c. (-1,2) d. (0,2)

60. The median of the numbers 2,4,6,8,10 is:

a. 6 b. 3

C. 30 d. 7

152

BPKIHS Past Questions

Up the minimum charge of Taxi is Rs 7 and then Rs 6 per

km and Rs 3 per minute is waiting charge then a man paid

Rs. 76 in total with waiting for 3 minutes what is the length

of his journey by taxi?

a. 10km b. 1s km

C. 18 m d. none

2. There are 30 girls and 20 boys in a clas. The percentage of
girls in the class is

a. 60 b. 90
C. 75 d. 30

3. Which is a fraction? b. 3/6
a. 6/3 d. 4

c. 4/2

4. A million is b. four lakh
d. ten crore
a. 10 lakh
C one crore

5 Ifx+ 2y =9 and xy'=7, find thevalueof x' + 4y'

a. $3 b. 45
C. 67
d. 69

6. Men constitute % of the population of village. One third of
the men in the village are illiterate. What fraction of the

population in the village is constituted by literate men?

a. 1/3 b. I/2

C. 2/3 d. 1/6

1. What would be the product of 3.4 and 1.02?

3.08 b. 3.468

C. 3.648 d. 3.48

8. 0.025 in terms of rate percent is:

lte a. V% b. 2.5%

C. 25% d. 371/2%

9. If each side of a cube is doubled, its volume:

a. is doubled b. becomes 4 times

c. becomes 6 times d. becomes & times

153

10. Measurement of volume is done in:

a. gm b. meter/sec
C. litre d. meter

11. After 6 years Priti will be twice as old as she was 8 vear:

ago. Her present age is:

a 14 years b. 18 years

C. 22 years d. 26 years

12. A coin is tossed two times. Find the probability of the even

of both heads?

a. b.

C. 1 d. 0

13. How many thousands make a million?

a. 1000 thousands b 10,000 thousands

C. 100 thousands d. 100,000 thousands

14. The interest on Rs 1000 for6 months at 7 % per annum is:

a. Rs 30 b. Rs 35

c. s 40 d. Rs 45

15. The product of two consecutive even numbers is 80. Find
these numbers.

a. 6,8 b. 8,10

C. 10,12 d. none

16. Quadratic equation is the equation of the form ax + bx + c

=0, where a, b and c are real number

a. a#0 b. a=b=c=d

c. aband b0 d. c#0

17. The sum of first even number is given by

na. b. n(n+1l)
d.
a)c.
18. The events A and B are said to be mutually exclusive events

if:

a. AnB= b. AUB=

c. both a and b d. none of them

154

Tan60°-Tan30

Findthevalueo1f +Tan60°xTan30°

19

b. y3

a.

c. 1 d. 0

The most repeated number in the data is

20. b b. median

a. mean

c. dispersion d. mode

The ratio of tan8 is equal to

21.
P

a. b. b

b d. all

C. h

22 IfT= Ma= M, distribution iscalled

a. Skewed b. Cumulative

C. Symmetrical d. None of the above

23. Swastika purchased two varieties of tea at the rate of Rs. 50
per kg and Rs. 80 per kg respectively. In what ratio these

two varities be mixed so that the sale price is Rs. 70 per kg?

a. 1:2 b 4:5

C. 3:1 3:4

24. In what time will the principal of Rs. 3200 amount to Rs.
4000 if the rate of simple interest is 2 paisa per Rs. 1 per

month?

a. 2.25 year b. 2.5 year

C. 1.5 year d. 1 year

25. If 36 men can finish piece of work in 20 days, how many
men should be added to the number so that the work can be

completed in 4/5 of the time?

a. 18 b. 9

C. 16 d. 10

26. Findthevalueof (8x)l+13

a. 8x b. 2x3

C. x d.

155

27. If the length and breadth of a rectangle are in the ratio 3: 2

and perimeter is 26m, find its area

a. 56.40m b. 40.56m
c. 42.69m
d 24.69m

28. -Vy= z andxyz=1,fndthevalueofm+ n+p=

a. 0 b. 1
d.
C. X

29. If Uvashi's monthly income isincreaseby 10%. To bring it
to the original, by what percent must the monthly income
be reduced?

a. 10%

c. d. 11%

30. Convert n inpercentage

a. 90% b. 75%
C. 2.5 % d. 85 Y%

31. If 150° and 3a are supplement angles find the value of a

a. b. 10°

C. 30° d. 60°

32. The area of triangle having sides a, b and c such that 2s

a+ b+c isgivenby

a. Ays + abc nbiuet

b. A=N(s-a)(s-b)($-c) t sat

c. A=Vs(s -a) (s - b) (s -c)i3ohe

d. none of the above

33. What number should be added to x+8x to make a perfect

square? 4
a. 2 16

C. 8

34. If the mean of 5, 10, x, 20 & 25 is 15 then value of x is:

a. 10 b. 20

c. 15 d. 25

156

nrice of a commodity has raised by 40%. By what

perecnetnt must a man reduce his consumption of the

commodity to within his usual budget?

18% b. 25%

8.

c. 28% d.

Thedifferenceof and; i

36

a. bb.. 40

18 19
d.
C 40

I. r-.then*sequal to

a. 7 b. 2

C. d. ;

j8. The probability of getting 4, when a dice rolled is

a. 2/3 b. l/6

c. 2/6 d. 3/2

39. If there are 70% boys and 240 girls in a school, then the
total number of students in the school is

a. 4000 b. 600

C. 800 d. 1,200

40. The distance between the tops of two trees 20m and 28m
high is 17m. The horizontal distance between the trees is:

a. 9m b. 1lm
C. 15m d. 3lm

7a'ca'

41. Simplification of 14a'bd 15

a. 2ab cd
C. 2abd
b. 2ab

cd
d. 2ab

42. Find the third quartile of18,20,22,26,30,40,50

a 22 b 26

c. 40 d. 50

43. The sum of (a-b)' and (a+b) is

a 4ab b 26

2a d 2(a'+b')

44. The number of times a variable repeats is

a mean b. median

c. mode d. frequency

45. The value of a car depreciates by 10% each year. Mrs
Sharma pays Rs, 8,00.000 for her car. Calculate its value

after 3 years

a. Rs 5, 83,200 b. Rs S,93,400

c. Rs 5, 96,200 d. Rs 5,98,200

46. Find the cost of plastering the walls of a room at Rs 20 per
sq. Meter whose length is two times its breadth and its
breadth is two times its height and the volume of the room
is S12 cubic meter

a. Rs 3140 b. R. 3560

C. Rs. 3840 d. Rs. 3920

47. How long will it take for the sum of money to triple itself at
the rate of 20%?

a. 5 yrs b. 15 yrs

C. 10 yrs d. 20 yrs

48. A 60 kg man pushes a 40 kg man by a force of 60 N, the 40
kg man has pushed the other man with a force of -----?

a. 40N b.

C. 60N d. 20N

49. In an examination it is required to get 36% of the minimum
marks to pass. A student obtained 113 mark and declared
failed by 85 marks. The maximum marks are---?

a. 500 b. 550
c. 640 d. 1080

158

Three years ago, a man was 8 times as old as his son, the
50. sum of ages at present is 51 years. How old is the son now?

a. 9 years b. 8 years

c. 10 years d 7 years

What is the square root of 1 + 2x' +r

51.

a. I+x? b. |+x*

c. I+2x* d. 1-x

52. A certain type of medicine consists of 4 chemical A, B, C, &
d mixed in the ratio 9:7:5:4: Find the mass of each chemical
in 500 mg of that medicine?

a. 200mg, 180mg, 80mg & 60mg

b. 180mg, 140mg, 100mg, & 80mg

c. 140mg, 100mg, 180mg, & 80mg

d. 180 mg, 100mg, 80mg, & 140mg
S3 Ram's salary is Rs 300. First it is increased by 20% and

decreased by 10%o . Now his salary becomes--?

a. Rs. 320 b. Rs 342
C. Rs. 330 d. Rs. 324

54. If 1728 is multiplied by a fraction so as to obtain the result
72 what is the fraction?

a. 1/3 b. 2/3

C. S/3 d. I/24

55. Mr. Hari bought a fan at Rs. 1100 including 10% VAT.
What was the original price of that fan?

a. Rs. 900 b. Rs. 950

C. Rs. 1000 d. 1050

56. In the given figure 0 is the centre of the circle. Find the

value of angles x and y. C

a x=60° and y=30°

b X=130° andy-60

C x=120° and y-60° 30 302
d x=120° and y=30°

159

57. The mean weight of 14 boys in a class XI is 60 kg and the

mean weight of 16 girls is 45 kg. Find the mean weight of
the 30 students of the class.

a. 51.5 kg b. S2.0kg

c. 52.5 kg d. 55.0 kg

58. Ms. Indira took a loan of Rs.4500 from a creditor at 4% Der

annum. After what time should she pay a sum of Rs. 540 as
interest?

a. 1 year b. 2 years

c. 3 years d. 4 years

59. A prism has base area 50 cm and volume 500 cm'. Find its
height.

a. 7 cm b. 10 cm

C. 15 cm d. 25 cm

60. What is the least number to which 8 may be added so that
the sum is exactly divisible by 45, 60 and 72?

a. 312 b. 352

c. 362 d. 372

61. Ifxty=15 and x-y-24 then the value of 2x + 2y is

a. 13 b. 23

C. 30 d. 52

62. 10 men can complete a piece of work in 12 days when

working 7 hours a day. How many hours a day must 6 men
work to do it in 14 days?

a. 8 hours b. 10 hours

C. 12 hours d. 14 hours

63. If a = b, b =cand c =a thenfindthevalueof xyz =?

a. b. 1

C. 1/x d. none of the above

64. Simplity:S xytyty ygit
a0 b. (x+y)

C. 1 d. X-y

65. Let a:b::c:d, then

a. a &d areextremes b. b &c are means

C. a,b,c & d are proportion d. all correct

160

which set of the following is equal set?
6.

a. A={1,2,3,4} B ={2,3,4,5)
b. A= (a,b,c,d} B= {1,2,3,4)
c. A={1,2,3,4) B =(1,4,9,14)
d. A= (P,Q,R,S} B= {R,S,P,Q}

A bill initially amounting to Rs. 70 now amounts Rs. 77

67. after adding VAT. Find the rate of VAT.

a. 10% b. 15%
C. 20% d. 30%

68. A dealer makes a profit of 20% on selling price. What is his
% of profit on cost price?

a 10% b. 15%

c. 25% d 30%

69 What is the probability of getting a vowel letters when a
letter is chosen at random from the word

MATHEMATICS?

a. 2/11 b. 3/11
C. 4/11
d 4/9

70. The area of 4 walls of a room with length &m, breadth Sm &

height 4m, is: b. 65 m2
a. 104 m

C. 200 m d. none

71. If Sine = 4/5, the value of cos is:

i Sa.2/5 idd b.3/5
C. 7/9 d. S/9

72. The value of x if3t%= 81 is

a. +1 b. -2

C. 3 d. 4

73. Value of x in the proportion (x +5) : (3 -6)=3:8 is:

a. 30 b. 50

C. 58 d 68

74. What is the formula to caleulate the area of 4 walls & floor

and celling? b. A = 2h(l+b) + Ib
a. A =2h(l +b) + (1 +b) d. A = 2(tb) + h(l+b)
c. A= 2h(l+b) + 2lb

75. If3Sin =5, which of the following is the value of cos?
b. 7/5
a 9/3

C. 4/5 d. S/8

161

76. If atb= 5 & ab =6, find thevalueof a' +b

a. 20 b. 25

c. 30 d. 3S

77. Ifa=-2, b=3 find thevalueo,fa(a -b)

a. 4/3 b. -2/3

c. - 4/3 d. 2/3

78. Write in Roman latter of 243?

a. CCXLIII b. DDXXXXII

c. CCLII d. MMCCIII

79. The price of 8 oranges is Rs. 10. What will be the price of

ber 100 such oranges?

a. Rs. 100 hR. s1.25 I

C. Rs 200 d. Rs. 225

80. The volume of a cone is 1386cm". Find the radius of its base

circle if itsheightis27cm. ato ak lo s

a. 7cm b. 10cm

C. 2lcm d. none

81. The population of a place was 2000. Within a year the
population increased 3% by birth rate and 2% by
migration. What is the present population?

a. 2020 b. 2040
C. 2060 d. 2100

82. In the adjoining figure AABC = 74°
ACI/ED and AB=AC Then the value of
ABAE is

a. 106° b. 74°

C. 44° d. 32°(de d

83. Bishal's tax free amount per month is Rs.5500 and he pays a
tax of Rs.225 per month at the rate of 15. Find his gross
income for a month.

a. Rs.5,000/month b. Rs. 6,000/month
c. Rs.7,000/month d. Rs. 8,000/month

162

Which one of the following is the least number subtracted
84 eam 323861 will make the remainder a perfect square?

a. 200 b. I50
c. 100 d. 50

The area of a rectangular football field is given by (r + xy)

85.

m. If the length of the field is x m, find the breadth of field,

where x and y are positive real numbers.

a. Ym b. (xy) m

C. 2x m d. (x+y) m

In the adjoining figure, OA is radius of the circle and AB is

86.

tangent to the circle. If AC=6 cm

and AB-4cm, find the length of BO.

a y52 cm b Scm

C. 10cm d. 25cm

87 Find the values of X and Y that
satisfy the equations. X-Y=5 and 2X+Y=13

a. X=6, Y=2 b. X-5, Y=3

c. X-3, Y=-2 d. X-6, Y=I

83 Two numbers are in the ratio 2:3 and their sum is 95. Find
the numbers

a. 48 and 47 b. 38 and 57

C. 37 and 58 d. 36 and 59

89. The weight ofa patient decreased from 50 kg to 45 kg.

What is the percentage of decreased weight?

a. 8% b. 10%

C. 12% d. 15%

90. Find the value of X

a, 50°

b. 60°

C. 70°

d. 80°

91. The radius of a wheel of a cycle is 0.14m. Find the distance

coveredby it in 5 revolutions.

a. lIm b 44cm

C. 440 m 440 cm

163

92. Write down the square of 4a-7b

l6a-25ab +49b b. 4a'- 26ab + 4ab'

c. 4a-S6ab +76 d 16a- S6atb+ 496?

93. The wateh is sold at Rs 400 at loss. If it had been sold Rs

S00 the profit would have been 2/3 of original loss, the cost

price of the watch is:

a. Rs. 400 b. Rs. S00

c. Rs. 450 d. Rs. 460

94. What will be S0% of a number whose 20% is 90?

R . 360 b. 72 otot
c. 144
d 225

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

a. Rs. 48000 b. Rs. S4000

c. Rs. S4000 d. Rs. 45000

96. Simplifiedvalueof

L 2si J

a. 0 b.s

c d. -1

97. Find the 9h term of the series 32 + 16+ 8 +

a. I/2 b. 1

C. 1/8 d. 1/4

98. Two number are in the ratio of 2:3 & if 9 is added in each

them the ratio becomes 3:4 what are the numbers?

12& 18 b. 18 & 27

c. 27 & 18 d. 8 & 12

99. 13,9,27is? b. arithmetic series
d. non of above
a geometric series

C. harmonic

100. Findthevalueofx, if x'+x-72 =0, 6 z3:

a. 9, 8 b. -8,-9

C. 8,9 d. 9-8

164

101. A sun ooff moncy doubles itself in 5 year, what is the rate of
interest?

0. I0% b. 15%
c 20% d. 25%

What must be subtracted from -Sr' +3 o obtain r-2x +

102.

5?

a. -6x* + 3x-2 b. 6x' -3x + 2

c. x-6x +3 d. x-6x-2

Which of the following formula measure the arca of a

103. 4

sphere?

a. 2nrh

C. 4nr' d. 2nr

IM4 Probability that a boy will geta scholarship is 0.85 and that

a girl will get it is 0.68. What is the probability that at least

one of thenm will get the scholarship?

a. 0.62 b. 0.84
c. 0.95 d. 1.24

I8S, In an election constitucncy of Saptari district the population

was 40,000 two years ago. If the present population is 44,

100 the populativn growth rate would be

a. 5% b. 7%
C 10% d. 15%

106. The product of digits in a two digit number is 18. The

number formed by interchanging the digits of that number

will be 27 more than the original number. Find the original

number b 63
a. 92

C. 36 d. 29

107. O is the centre of the circle. If <0BA=35°, find
<BCA

a. 45° b. 50°

C. 55° d. 60°

108. In a class of 50 students, the number of boys is 30. What is
the number of girls to be added so as to make 60% girls in
the class?

a. 20 b. 30

C. 27 d. 10

165

109. What comes after10,15,25,40 ?

a 60 b. 55

C. S0 d. 45

110. The three sides of a right-angled triangle are n cm, (n+1) cm

and (n+2) cm long. Evaluation the area of the triangle
b 6.0cm
a 4.0 cm

C 8.0cm d 10.0cm

111. Two pillars 35 and 20 meters high are fixed at a distance of

20 cm. Find the minimum length of rope required to join

the two pillars

a. 20m b 25

c. 30m d. 35 m

112. In an exam Rakesh solved 52 questions and got 80% marks.

Find out the number of questions asked

a. 65 b. 55
c. 72
d.. 70

113. What is the median of 6, 8, 10, 5, 14, 11

a. 10 b. 9

C. 6 d. 8

114. The area of rectangular field is 600m and its length is 30 m,

what will be the perimeter

a. 100m b. 200m

C. 300m d. 400m

115. Find the value of <BAC b. 450 t
d. 1s°
a 60

C. 30°

116. The expansion of formula (a-b) is

a. at3ab-3ab+b b. a'-3ab+b?

c. a'-3a'b+3ab'+b d. a'+3a'b-3ab'+b

117. In the given figure, AQB is a diameter of the circle with

center O and ADC= 125°. Then ZBAC is equal to:

a 55° b. 35°

c. 624 d. 70°

166

8. The population of a townincreasesby 2% everyyear. If the

populaattiioonn of the town in the last year was 125000, then the
popullaattiioonn of the town in the next year is equal to :

12,7500 b. 1,37,500
d. 1,30,500
a.

c. 1,30,050

I19. Simplify b. I/7
d. 1/11
a. 1/5
C. 1/9 then atis equatlo

ru- b. 2
a. 7
4.
C.

121. The part of Rs. 72 in the ratio 1:2 are

a. 24& 48 b. 48 & 24

C 12 & 60 d. none of the above

122. The probability of giving a birth by a pregnant lady on
Saturday is
1b. 365
a. 7

C. 365 d.

123. A sum of money doubles itself in 10 years at a certain rate.
In how many years will treble itself at the same rate of
interest?

a. 12 years b. 15 years

C. 20 years d. 30 years.

124. Find the sum of 1'+2 +3-- +9

a. 285 b 345

C. 385 d. 495

l25. One side of a rectangular field is &m and of its diagonal is

17m. There are of the field is

a. 130m b. 68 m?

C. 120m' d. none

167

126. The ratio of salary of Ram and Hari is 9:5. if Ram's salary
is 1,26,000, then find the salary of Hari.

a. Rs. 70,000 b. Rs. 80,000

c. Rs. 90,000 d. Rs. 75000

127. A revolving chair costs Rs. 5060 including 8% discount and
10% VAT, find its marked price.

a. Rs. 4000 b Rs. 5000

c. Rs. 4068 d. Rs.5068

128. Find the area of the shaded region in the given

figure.

a. 6.67cm b. 5.34cm

C. 7.64cm d 10cm

129S. implify:X-y s stt

a. xy b. (x+y)
c. X y d. x+ y

130. In adjoining figure figd thevalueof x.
E
a. 80° B
A20
b. 100°

C 90° -F
d. 110° A

131. The cost price of a book is Rs. 375. What would be the

marked selling price of the book if 20% profit is to be made
after allowing a 10% discount?

a. Rs. 375 b. Rs. 600

c. Rs. 500 d. Rs. 475p

132, What sum of money will earn Rs. 1 interest per day at 10%
133.
134. per annum?

a. Rs. 5000 b Rs. 6000

c. Rs. 6350 d. Rs. 3650

(I-1)=4, findthevalueofz.
a 9 b. 5t lu2t d
c. 8 d. 10

If mean = 15 and median = 15, then mode = ?

a. 30 b. 15

c. 14 d. 10

168

bo

Factorize: -4+y-2xy.

a. (x +y) b. (x+y +2)(x +y-2)

c. (x-y- 2)(x + y- 2) d. (x-y+ 2) (x-y -2)

136. Find the H.C.F. of a'+a'b+b &ata'btatbis

. ab(a'+ab+b') b. a (a'-ab+b)
a'b' (a+abtb') d. (a'+abtb)

C.

97.Simplify[16x* x 81y -%

216x b. 216y
a. y

d. X

C.

138,Findthevalueof x if 9-4.3** + 27=0

a b. 2

C. 3 d. a and b

139. Volume of a prism is given by the formula

a sbase x height b. neh

c. areaofbasexheight d. None

140, As in figure if TN is tangent at point T and

(<ATN = 40 value of <OAT is
a. 40° b. 50° T

C. 60° d. 70°

La. 18,6

TpC. 36,3
141. Divide 24 into two such parts whose product is 108?

b 9,12 10

d. none

142. What would be the value if0 is divided by 5?

0 b. 1 A
C. 10 d. 5

143. Find the value of x+y+z-?

a. 180 b. 270

C. 360 d. 450

144, Find the arithmetic mean of 3,4,5,7,8,9

a. 8 b. 7

d. 6 d.8

145. The radius of a cylindrical log of wood is 21 cm and the
area of its curved surface is 118s0 cm². what is its height?

a. 80 cm b 90cm

C. 100cm d. none

146. If 15 kg of potatoes cost Rs. 120, what amount of potato can

be purchased for Rs. 400?

a. 20 kg b. 30 Kg

C. 40kg d 50 kg

147. Find the value

a. 4/9 b. 9/4
c. 8/27 d. 27/8

148. The sum of two consecutive multiples of 3 is 69. Find them.

a. 34,4S b. 65,4
C. 33,36
d 44,45

149. At what rate % per annum will a sum treble in 16 years?

a. 11.55% b. 121/2%

C. 21 2/3% d. 21.67%

150. The largest 4 digit number formed by 6,7,0 and 9 using each
digit only once is

a. 9704 b 9670

c. 9760 d. 9607

151. When it is 9am, the angle made by two hands of a clock is

a. right angle b. obtuse angle

C. acute angle d none of the above

152. The number of half litre bottles needed to store 3 litre of a

liquid is

a. 6 d. 0seh sdbiz,
C. 4

153. Thefactors of x'- 3r'+1

a. (x+x+l) (x*-x-1) b. (x-x+1)o+*-1)

C. (x*+x-1) (x*-x-1) d. (x*-x+l)(x*-x+1)

154. In an arithmetic series the first term is 2, the last term is 29

and the sum is 155. Find the common difference?

a. 1 b. 2

C. 3 d. none

170

radio-set is bought for Rs. 1400. After 2 years it is sold for
155. A 1
What is the rate of annual compound
Rs. 1134.

depreciation?

a. 5% b. 10%

C. 20% d. 25%

(3.5)-(1.5
156. Find the value o' (3.5 + 3.5 x1.5 + (1.5)

a. 0 b.
c. 2 d. 3

157, Which is the correct formula?

PTR b. PeX100
a. 1= 100 TR

C. A =P+1 d. all of above

158, If all angles of quadrilateral are equal then the figure must

be b. rectangular
a. square d. both a & b

c. parallelogram

159. If a sum of Rs. 700 grows by 1/20" of itself every year, after
what time would it amount it Rs.1030?

a 1 yr b. S yrs
d. 15 yrs
C 30 yrs

160. If n(A) = 34, n(B) = 36, n(C) = 40, n(AnB) –9, n(AnC)= 10,

n(BnC) = 8, n(AnBC)=3, what will be n(AUBUC)?

a. 83 b. 86

C. 134 d. 92

161. A can do a piece of work in 3 days & B in 6 days. In how

manydays will they do it together?

a. I day b. 2 days

C. 3 days d. 4 days

162. A man bought a second-hand radio set for Rs. 180. He spent

Rs. 45 for necessary repairs & sold it for Rs. 270. What was

hispercentage of profit?

a. 20% b. 25%

C. 15% d. 30%

171

163. If a bookseller allows 10% discount on printed price, what
does a customer pay for a book priced at Rs. 15.

a. Rs. 14.5 b. Rs. 13.50

c. Rs. l2.50 d. Rs. 10

164. If a:b= 2:3, b:c=3:4 & c:d = 8:9 find a:d

a. 9:4 b. 4:9

C. 3:2 d. 6:1

165. Diagonal of a cuboid is unit.

a V+b'+h b. I+b+h
3
C. l+b+h
2 d. +6+

3

166. The area of the given figure is: -6.5cm-
a. 60 cm2
b. S8.5 cm

C. 54 cm
d. none

167. The value of (16) is: b. 8
d. 64
a. 4
C. 16

168. The value of (8, x (216)-10

a. b. 1/6
C. d. 2/3

169. What number should be added to the expression x + 8x to

make a perfect square?

a. 4 b. 8

C. 12 d. 16

170. In the fig. O is the centre if PQ = 12, PR =S cm, NR
find the radius of circle.

a. cm

b. 6.5 cm

C. 7 cm

d. 13 cm

172

If the frequencies of first four numbers out of 1,2,4,6,8are

171.

2,3,3,2 espectively. If their arithmetic mean is 5 find the
frequencies of 8.

a. 4 b. 6
d. 7
C.

11). If a person's salary is first increased by 10% and then
decreased by 10%, what will be the percentage change in

his salary?

a. Increased by 1% b. No change

C. Decreased by 19% d. Increased by 20%

173. If 7a=3 and 3b =7, what is thevalue ofa/b?

a. 3/7 b. 1

C. 9/49 d. 49/9

174. The multiplied value of 6y5 by 2/S is equal to:

a. 40 b. 60
C. 50 d. 70

175. The graph of every linear equation in two variables is
called:
b. Curve line
a. Quadratic line d. Elliptical line
C. Straight line

176. The cost of digging a cuboidal pit of 8m long, 6m broad and
3m deep at the rate of Rs. 30 per meter will be:

a. Rs. 2,320 b. Rs. 4,320

C. Rs. 3,320 d. Rs. 5,320

177. Ram bought a table for Rs. 960 and sold it at Rs. 720. What

is the lost percent?

a. 15% b. 25%

C. 20% d. 30%

178. In an examination, the mean of marks scored by a class of

50 students was calculated as 58.5. Later on, it was wrongly

copied as 57 instead of 75 scored by one student. Find the

correct mean:

a. 59.50 b. 58.86

C. S9.30 d. 58.99

173

179. Exactly 180 seconds after midnight, the correct time is :

a. 12:03 PM b. 3:00 PM

c. 12:03 AM d. 3:00 AM

180. The price of a medicine is Rs. 900. If the shopkeeper gives

you 15% discount how much would you have to pay for the
medicine?

a. Rs.740 b. Rs.765

c. Rs.75S0 d. Rs.775

181. The average weight of 20 girls is 25 kg and the average

weight of 30 boys is 40 kg. Find the average weight of ail of
them.

a. 34 kg b. 30 kg

c. 32.5 kg d. 25 kg

182. I 2/5th of the work is done in 6 days, how long will it take
to finish 1/3rd of it?

a. 2 days b. 4days
C. 3 days d. 5 days

174

CTEVT PastQuestions

Which is the value of

a. 0 b.
100 d. I

2 A cone has radius of the base 7 cm and its slant height is 25
cm. Find the volume of the cone.

a. 1282.8 cm b. 3848.45 cm

c. 3694.5 cm d. 1231.5 cm

The population ofa town was 20,400 two years ago. If the
population growth is 5%, what is the present population?

a. 2249| b. 19380

C. 19300 d. 22400

b4.
2a +3b + 2a-3b

Simplify: b

4(a-2b) 4(a'+2b')

a. b(2a-3b) b.

2(a-b) b (2a +3b)

C. b (3a-2a) d. 2(a-b)(a +b)

b(2a + 3b)

What will be the produet of the roots of quadratic equation
9x-12x+4=0?

a. b.

c. d.

Find the volume of a sphere with 28 cm diameter.

a. 1l1498.66 cubic cm b. 1129S.76 cubic cm

C. 11480.25 cubic cm d. 11398.50 cubic cm

7. With a 12% increment on tax, the price of a bulb is Rs. 150.
What is the marked price of the bulb?

a. Rs. 133.92 b. Rs. 135.05

C. Rs. 130.87 d. Rs. 128.25

175

8. Simplify:t3

a. b.

C. 4 d6

9. A bulb costs Rs. 28.50. A salesman gives a discount 1.5% of
the customers. What is the price of bulb?

a. Rs. 25.05 b. Rs. 28.0725

C. Rs. 30.0726 d. Rs 32.06

10. Ifr-8, x- 6, 6, 8, 10, rt2, 14 are in ascending order and its
third quartile is 12, find its first quartile.

a. 10 b. 4

C. 12 d. 8

11. How many stones each of volume 240 cm will be required
to construct a wall of 15 m x 80 m x 20 cm?

a. 1, 00,000 b. 1,000

c. 100 d. 10

12. Ram alone can do work in 20 days and Shyam alone can do

this work in 30 days. How much work can they do together
in 6 days?

a b. 1

C. 2 d.

13. In a class, there are 15 students of 16 years, 14 students of
17 years and 16 students of 18 years. What will be the
model age of the class?

a. 16 yrs. b. 17 yrs.

c. 18 yrs. d. 15 yrs.

14. In the adjoining figure, ABCD is a cyclic quadrilateral. Irz
BAD=60°, what is the value of y?
a. 60°
b. 30°

c. 120

d. 20°

176

In a 4A AABC, a=4 cm, b=3 cm and C=30°, find the area of

A ABC. b. 1.5 cm
a. 6cm
C. 3 cm2 d. Ni cm

Whatistheduplicateratio of?

16. a 16
a. b.
625

8c. 125 64
15625

Whichis the formula of (a + b'?

17. b. (a- b)+ 4ab

a. (a-b)'+ 2ab

C (a+b)-2ab d. (a+ b) 4ab

Whichare thefactorsof x +x'y'+y

18.

a (ot xy +y) (x-xy +y)

b. (x'+ xy +y) (x+ xy +y)
c. (x'+xy+y) (x*+xy+y')
d. (x'-xy +y) (x +xy + y)

When a letter is chosen at random from the word

19.

MATHEMATICS!. What is the probability of getting 'T"?

2a.
b.
10

d.

20 The probability of solving a mathematical problem by two

1

. students A and B are 3 and respectively. If the problemis
given to the both students, then what will be the probability
of solving?

ab

C. d.

21. If Set A={a, b, c}, then how many possible subsets can be
formed from A?

a. 3 b. 4

C. 6 d. 8

177

22. A company makes a profit of Rs. 2, 50,000 per month, A
the end of the year, it distributes 5% of its profit as bonus te
his 20 service holder. Find the bonus amount received b.

each service holder.

a. Rs. 625 b. Rs. 7,500

C. Rs. 12,500 d. Rs. I 1,875

23. According to compound interest, CA is amount, R is rate of
interest per annum, T is the time and P is the principal,
then the value of CA is?

a. b. P06

c.

24. The population of a vilage was 15,000 few years ago. The
present population is 19,965. If the population grows at
10%, how many years ago was the population 15,000?

a. 3 yrs. b. 4 yrs.

c. 2 yrs. d. l yr.

25. The marked price of a watch is Rs. 640. What is the selling

price if a discount of 15% is allowed?

a Rs. 736 Tb. Rs. 544

c. Rs. 625 d. Rs. 525

26. A and B can finish a piece of work in 10 days. B alone takes

15 days to finish it. In how many days A alone can finish the
same work?

a. 15 days b. 20 days

c. 30 days d. 25 days

27. If the cost of 9 oranges is equal to that of 15 bananas, the

cost of 10 bananas is equal to the cost of 3 mangoes, then

how many oranges cost as much as 20 mangoes?

a. 10 b. 20

C. 30 d. 40

28. What is the formula of a'+b'?

a. (a-b)'t4ab b.(a-b)4ab
C. (atb)'-4ab
d(a.+b)-2ab t

178

The area of floor of a square room of height 6 m is 49 m'.

19 Whatisthe.area of its four walls?

a. 158m? b. 178 m?

c. 188 m² d. 168 m?

fn(A)=20, n(B)=25, n(A n B) =2 then find the value of n(B-

A).

a. 21 b. 22

C. 23 d. 24

Find the volume of the given triangular prism.

JL.

a. 240cm 10cm 6cm

b. 230 cm OCm
c. 220 cm

d. 200 cm'

The adjacent sides of a parallelogram are 52 m and 56 m

respectively. If the length of one of the diagonal is 60 m, find

the area of the parallelogram.

a. 2688 m' b2. 67m8? l au

c. 2668 m d. 2658m

33, The mean of the data 11, 15, 17, x+1, 19, x-2, 3 is 14. Find
the median of the data.

a. 18 b. 15

C. 12 3 d. 10 d

34. If the sum of square of the two consecutive natural numbers
is 41, find the numbers.

a 4, 5 b. 5,6
C. 6,7 d. 7,8

179

35. Calculate the area of the given quadrilateral.

B 4cmE 6cmD

+Diagonal AC=10cm

C b. S0 cm
d. 70 cm
a. 40 cm
c. 60 cm

36. A card is drawn randomly from a deck of 52 cards. What is
the probability of getting a red king?

1 1

a 52 b. 13

1 d.

C 26

37. If one of the root of a quadratic equation x+px-4=0 is -4.
What is the value of p?

a4 b. 3

c. -4 d. -3

38. What is the volume of the combined solid of hemisphere
and cone?

a S5429cm 10cm
b. 654.29 cm 3
8cm
C. 754.29 cm

d. 854.29 cm

39. Jyoti sells an article on Rs. 1320 allowing 12% discount.
What is its marked price?

a. Rs. 1500 b. Rs. 2000

c. Rs. 2500 d. Rs. 3000

40. If the circumference of the circular base of the cylinder with

height 22 cm is 132 cm, what is the total surface area of

cylinder?

a. 66676 cm? b. 7676 cm

c. 5676 cm d. 8676 cm

180

The total surface area of a solid sphere is 616 cm. The
4l. sphere is cut into two equal parts. Find the total surface

area of hemispheres so formed.

a. 824 cm² b. 924 cm

C. 724cm d 624 cm

.What is thevolume of the adjoiningprism?

42.

a. 48cm

b. 300cm C s*....

c. 480cm 6cm

d. 240cm 10cm

Which is the formula to find the area of square in which 'd'

43

is diagonal?

a.

d

44. What is the least number a solid metallic sphere each of 6
cm diameter that should be melted and recast for from a

solid metal cylinder whose height is 45 em and diameter 4

cm?

a. b. 10

C. 15 d. 20

45. If a men is rise of 10/3 m vertical height while walking 20
m along the inclined path. At what angle is the path inclined
with horizontal plane?

a, 30° b. 60°

c. 45° d. 90°

46. After the compound depreciation of the cost of shares of a

finance company at 5% for 2 years the total shares cost Rs.

36100 at present. How many shares at Rs. 100 per share

before 2 years?

a. 40 b. 400

C. 4000 d. None of these

47. The marked price of a FM radio is Rs. 1200. What is the

discount rate, if it is sold price is Rs. 960?

a. 10% b. 20%

C. 15% d. 8%

181

48. 2 years ago, the population of a village was 50000. Ir the

population growth rate is 3% then find the present

population of village.

a. 53045 b. 53054

C. S3540 d. 53504

49. How many diagonals is regular octagon?

a. 20 b. 18

C. 22 d. 19

50. The price of an article is Rs. 6000 after 20% VAT, then fnd
the VAT amount.

a. Rs. 1000 b. Rs. 1 100
c. Rs. 1200
d. Rs1.500

51. A coin and a die are thrown together, what is the
probability that the coin falls head and dice show 3?

a. b

c. d

S2. If a+b=s and ab=6, what is the value of a-b'?

a. - 5 b. 6

C. 10 d. 12

53. Ir3V2i=1 then what is the value of x?

a. 4 b. 6

Lo C. 8 .2

54. In AABC, if ZB=60°, c=3 cm and a=12 cm, what is the area
of AABC?

a. 1843 b. 92
c. 12/3
d. 9W5

55. If the wages of 4 men be equal to those of 5 women, what
will 8 women wage in a day the daily wages of 10 men being
Rs. 240.

a. Rs. 253.60 b Rs. 235.60

C. Rs. 135.60 d. Rs. 153.60

182

hat is the compound interest on Rs. 20000 for 2 years at
$6. ompounded yearly at the rate of paisa per rupee per

month? b. RS. 5088
a. Rs. 6088 d. Rs. 3088

C. Rs. 4088

The base of a pyramid is an equilateral triangle of side 8

$7.

cm.If itsheight is 93 cm,find thevolumeof thepyramid.

a. 144cm b. 134 cm
c. I54cm d. 164 cm

What is the area of a circle whose radius is the diagonal of

$8.

square whose area is 4 cm?

a. 37 b. 2ry2

4C d. 8T

59. If A and B are two subsets of U with n(u) = 43, n(A) = 25,

n(B) = 18 and n(AnB) =7, which is the value of n(AUB).

a. 36 b. 7

C 43 d 30

60, What is the total surface area of a solid sphere of diameter
14 cm?

a. 98ncm b. 196rcm

C. 392ncm d. 588rcm

61. If n(A) = 80 and n(B) = 65, wvhat is the least value of n(A U

B) ?

a. 125 b. 20
c. 80 d. 65

62. If 10 cowvs eat as much as 6 oxen, how many oxen will eat as
much as 15 cows?

a. 10 b. 6

C. 9 d. 15

63. If2=4a, what is thevalueofa?

a. 2 b. 6

C. 6a d. 2a

64. IfVz-7 = 1+Wr what is the value of x?

a. 8 b. 9

C. 16 d. None of above

183

65. If a continuous series the mean (X) = 80, assumed mea
(A)F60 and Ef-40, what is the value of Efd.

a. 16 b. 160
C. 800 d. 16000

66. If thrice of my age 10 years ago be subtracted from twice

my present age, the result is my present age, how many

years my present age?

a. 16 b. 1S

C. 9 d. 10

67. What is the cash payment of a bill amounting Rs. 1800
allowing a discount of 5% and levying 13% VAT?

a. Rs. 1934.30 b. Rs. 1933.30

c. Rs. l932.30 d. Rs. 1931.30

68. In the given figure is solid pyramid 343 cm
with equilateral triangle as its base, if
the volume of the pyramid is 300 cm 3

and its height is 3/3 cm. What is the
length of each side of the triangular
base?

a. 20 cm b 10 cm

C. 103 cm d. 20/3 cm

69. In the given figure, 0 is the centre of
circle, XYI/BC, what is the value of x?

a. 35° 8
b 25°
C. 15°

45°

70. In the given figure, PTR is tangent of a circle. If AT=PT
and APT=20°, what is the
value of ZATR?

a. 40°

b. 30°

C. 60° R
d. S0°

184

f mean (Ô = 33, EíN = 1096 + 25p and Ef = 32 + p then
1. what is the value of p?

a. 3 b. 6

C. 4 d. 5

1 Urmila's income increased by 10% and later decreased by
10%, what is the changed percent?

a. 1% b. 10%

C. 0% d. None of these

In the given figure, 0 is the centre of circle. OABC is a

13.

parallelogram, what is the value of x?

a. 120°
b. 150°
C. 135°
d. 130°

14. In the given figure AC and BC 30°
are tangents. If AACO=30°, then
what is the value of reflex

AAOB.

a. 210

b. 220°

C. 230°

d. 240°

75 Which is the Heron's formula, to find the area of triangle?

à. V(s-a)(s-b)(s-c) b. Vs(s-a)(s-b)(s-c)

e. ;Vs(s-a)(s-b)(s-c) d. V(s-a)ls-b)\(s-c)

76 Which is the formula of volume of equilateral triangular
prism?

da. 2 2b.

e.

185

A

77 What is the value x if the area of AABC

is 6 cm'? 4Cm

a. 30° b. 60°

C. 45° d. 75°

6cm

78. In the adjoining igure, ABCD is a

square, AE//BC and AC=3y2 cm. What is the area of.
AEBC?

a. 18cm DE
b. 9cm

c. 300cm

d. 4.5cm

79. If n(A)=45,n(B)=65and n(A U B) = 85. What is the value
of n,(B)?

a. 25 b. 30

C. 35 d. 40

80. What is the perimeter of an equilateral triangle having area
36V3 cm'?

a. 16 cm 42 b. 26 cm

C. 46 cm d. 36cm

81. A triangular prism has height 15 cm and base area 12 cm².
What is the volume of the prism?

a. 180 cm b. 181 cm

c. 182 cm' d. 183 cm

82. When the square ofa number is deceased by 5, the result is
76. Find the number.

a. ±8 b. +9

C. ±7 d. ±10

83. From the number cards numbered from 2 to 28, a card is

drawn at random. Find the probability of getting the cube
number.

2a. b. 7

c. 27 d.

186

In the given ligure, 0 is the centre of the

circle. If AABO=35° and AAC0=25°, what

isthevalue of & BOC?

a. l10° b 120°
C. 130° d. 140°

r the length of the diagonal of a square is

cm, then find its area.

a. 18 cm b. 12cm
C. 15 cm d. 9 cm

The length of diagonals of rhombus is 16 cm and 12 cm.

86.

Find the perimeter of therhonmbus.

a. 40cm b. 38 cm
C. 36 cm d. 32 cm

1,5,7, 2x-4, x+7, 2x+1 and 3x+2 are in ascending order. If
the third quartile (Q) is 15, what will be the value ofx?

a. 6 b. 8
C. 7 d. 10

88. The ratio of two sides of a right angled triangle is 1:3 and
the length of hypotenuse is 20 cm, find the length of two

sides.

a. 3V10cm 410cm b. 4V10cm,6 10cm

c. 2V10cm,6/10em d. 6y10cm, 8/10cm

89. The ratio of two numbers is 4:5. The sum of the numbers is

90. Find the numnbers.

a. 60, 30 b. 40, 50

C. S5,3S d. 35, 55

90. The mean of 20 numbers is 20. If one number is added the

new mean becomes 21. What is the new number?

a. 41 b 40

C. 39 d. 38

91. A number is double of other number and the sum of the

number is 27, what are the two numbers?

a. 18,9 b. 10,7

C. 8,9 d. 6, 11

187

92. In the given circle with centre O, Q-

93. PQ is the tangent and P the point 12cm
of contact. If OP=5cm andPQ=12
94. cm, what is the length of QR?
Bsy a. 7 cm
95.
b cm

C. 9 cm
d. 10 cm

In the given figure AB is a tangent
of R is contact point. If PR=QR

and &PRQ-52°, find the value of
ABRQ.

a. 62° e b. 56° A
C. S4° d. 640

-R

The cost of radio is Rs. 650. If the cost of the radio isRs,72R
including VAT, Whatis the rate of VAT?
a. 10%
C. 12% b. 13%
d. 14%

In the given figure, ABCE is a rhombus and ACDE is an
AeBquDilEat?eral triangle, what is the area of the trapezium

A

Ocm

a. 27/3 cm 4 60 D
b. 28\3 cm²
C. 3043 cm? d. 32/3 cm

96. In the figure, AB=AD and &BCD=120°,

what is the value of AADB?

S0° b 60°
c. 70°
d. 80°

120°

188

em, what is thediameter of

Thevolumeof a sphereis

97.

sphere? b. 2 cm

2a. s

3 d. cm

C. 27cm

A man paid Rs. 118 of income tax at the rate of 0.5 paisa

98.

per rupee. What is his income?
b. Rs. 23,000
a. Rs. 23,600
d. Rs. 11,800
C. Rs. 1,18,000

Rs.,600is in a bag. If the ratio of rupee, mohar and suki are
99. in the ratio 3:4:12. Find the number of suki.

R a. 75 b. 900

C. 225 d 300

100. Ram purchase a bicycle in Rs. 5000 and he sold at Rs. 3645

after using 3 years, then find the rate of compound

depreciation. b. 10% P.A.
a. 5% P.A. d. 20% P.A.

C. 15% P.A.

101. The simple interest on certain principal is ofthe amount

in S years, find the rate of interest.

a. 5% P.A. b. 8% P.A.

C. 6% PLA. d. 10% P.A.

102. What numbers when increased by 40% become 28?

a.:5 b. 10

C. 15 d. 20

103. The marked price of a watch is Rs. 1,600. If discount is
allowed and 10% VAT is added its price becomes Rs. 1,320.
Find the discount percentage.

a. 30% b. 25%

C 20% d 15%

189

104. A card is drawn from a pack of 52 cards and a diiccse is
thrown once, determine the probability of getting a card of
king as well as 6 on the dice.

a. 78 19
b. 78
3c. 13
10
d. 39

105. Ifa +-2, thenwhatisthevalueofa'+

a. 14 b. 11

C. 5 d. 2

106. What are the roots of quadratic equation -4x+4=0?

a. 2 b. 2, 2

c. -2 d. -2, -2

107. Simplify:

11
(a -b) (a-c) (b-c)(b-a)(a-c) (-b)

2 a. 0 b.1

Abno C.o-1 d. abc

108. In the adjoining diagram, what does AD denote? D
a. Altitude
b. Median

aur C. Perpendicular bisector

d. None of them

109. In the given figure, AB is a diameter and '0' is the centre of

the circle. If AC-6 cm, BC=8 cm, then what will be the
measure of OC?

6 cm 8 cm

a 10 cm b 20 cm b

c. 8 cm d. 5cm b

110. What is the chord passing through the centre of the circle?

a. tangent b. radius

c. diameter d. arc

190

The cost of carpeting a room at Rs. 50 per square meter is

111. Rs.1000,wwhat will be the breadth of the room if its length is

5 m? b. 3.5 m
d. 4 m
a. 2 m
c. 2.5 m

u12. FEiinndd tthhee vvoolluummee of pyramid having base area 27 cm´ and
height 10 cm.

a. 270cm b. 135 cm'

c. 90 cm d. 540 cm'

113. Find the total surface area of cross section of the adjoining

diagram. 10 cm
a. 3800 cm?
0.cm

b. 950 cm t 60 cm 40 cm
1900 cm*

C

d. 9000 cm

If= b

114: what is the value of 6a - 4b?

a. 0 b. 1

C. 2 d. 3

115. If the mean and median marks of the students in different
subject are respectively 25.6 and 26.1. What is the mode?

a. 27.1 b. 29.1
C. 26.1 d. 28.1

116. Which one of the following is the solution of (1+Tan'e) (1-
Sin'0)?

a. 0 b. 1

c. 2 d. 3

117. A work was to be done in 30 days. After 12 days it was
found that half the job was already done by 36 men. How
many men should be reduced to finish the job in right time?

a. 10 b. 15

C. 8 d. 12

117. Sita gets a loss of 12% while selling a doko of apple at Rs
1320. What is her cost price?

a. Rs. 1200 b. Rs. l1800
C. Rs. 1000 d. Rs. 1500

191