saravanan velu: OBJECTIVE-TYPE QUESTIONS

253 _ OCTOBER 2001 _ THE COMPETITION MASTER

Quantitative Aptitude

1. A square garden has fourteen posts along each side

at equal interval. Find how many posts are there in all four

sides:

(a) 56 (b) 52 (c) 44 (d) 60

2. Average age of students of an adult school is 40 years.

120 new students whose average age is 32 years joined the

school. As a result the average age is decreased by 4 years.

Find the number of students of the school after joining of the

new students:

(a) 1200 (b) 120 (c) 360 (d) 240

3. When Rs 250 added to 1/4th of a given amount of

money makes it smaller than 1/3rd of the given amount of

money by Rs 100. What is the given amount of money?

(a) Rs 350 (b) Rs 600 (c) Rs 4200 (d) Rs 3600

4. Find the least number of candidates in an examination

so that the percentage of successful candidates should be

76.8%:

(a) 500 (b) 250 (c) 125 (d) 1000

5. The number of times a bucket of capacity 4 litres to

be used to fill up a tank is less than the number of times

another bucket of capacity 3 litres used for the same purpose

by 4. What is the capacity of the tank?

(a) 360 litres (b) 256 litres (c) 48 litres (d) 525 litres

6. Simplify:

(a)

(b)

(c)

(d)

7. A certain quantity of rice is spent daily for 30 students

in a hostel. One day some students were absent as a result, the

quantity of rice has been spent in the ratio of 6 : 5. How many

students were present on that day?

(a) 24 (b) 20 (c) 15 (d) 25

8. The ratio of daily wages of two workers is 4 : 3 and

one gets daily Rs 9 more than the other, what are their daily

wages?

(a) Rs 32 and Rs 24 (b) Rs 60 and Rs 45

9. Find the ratio of purchase price and sell price if there

is loss of 12

(a) 7 : 8 (b) 8 : 7 (c) 2 : 25 (d) 25 : 2

10. The simplified value of 1.2 + (1.2)2 + (1.2)3 is:

(a) 4.248 (b) 4.368 (c) 3.248 (d) 3.368

11. The rate of failure in an examination is 39.25%. Find

the least number of total candidates appeared in the

examination.

(a) 500 (b) 400 (c) 125 (d) 260

12. Find H.C.F. of

, .36, .24

(a) .04 (b) 2

13. 0.8 portion of a tank is filled with water. If 25 litres of

water is taken out from the tank, 14 litres of excess water over

the half filled up tank remains in it. Find the capacity of the

tank.

(a) 100 litres (b) 130 litres

14. The ratio of ages of two persons is 4 : 7 and one is 30

years older than the other. Find the sum of their ages.

(a) 210 years (b) 110 years (c) 90 years (d) 140 years

15. The ratio of the age of a gentleman and his wife is

4 : 3. After 4 years this ratio will be 9 : 7. If at the time of their

marriage the ratio was 5 : 3, how many years ago they were

married?

(a) 10 years (b) 8 years

16. Simplify: 1 3 1 3 1 3 1

1 3 1 3 1 3 1

. . .

× × −

× + +

(a) .3 (b) 3

(d) 1

17. What sum of money is to be divided among 3 men in

the ratio 3 : 4 : 5 so that the third man receives Rs 10 only.

(a) Rs 56 (b) Rs 84 (c) Rs 120 (d) Rs 24

18. Sum of two numbers prime to each other is 20 and

their L.C.M. is 99. What are the numbers?

(a) 8 and 12 (b) 14 and 6

19. Find square root of 2.7

(a) .5 (b) 5 (c) 1

(d) .3

20. Find the greatest of the four least common multiples

of 3, 5 and 7.

(a) 1 (b) 420 (c) 315 (d) 105

Solved Paper of Cooperative Bank Exam, 2000

OBJECTIVE-TYPE QUESTIONS

254 _ OCTOBER 2001 _ THE COMPETITION MASTER

21. Find the greatest number which on dividing 107 and

120 leaves remainders 5 and 1 respectively.

(a) 25 (b) 6 (c) 9 (d) 17

22. Express Rs 25 as percentage of Rs 75:

(a) 3% (b) 30% (c) .

% (d) 33.3%

23. 25% of X = 45% of Y. Then X : Y is:

(a) 5 : 9 (b) 3 : 5 (c) 5 : 3 (d) 9 : 5

24. The value of 99

+ + + + + is:

(a) 594 (b) 595 (c) 596 (d) 597

25. If n is any positive odd integer greater than 1, the

n(n2 – 1) is always divisible by:

(a) 7 (b) 5 (c) 24 (d) 15

26. The value of {(.87)3 + (.13)3 + .87 × .39}0.5 is:

(a) 0.6 (b) 1 (c) 0 (d) 3

27. A hawker purchased oranges at the rate of 4 oranges

in a rupee, but he sells at the rate of 5 oranges in a rupee. His

loss is:

(a) 20% (b) 25% (c) 50% (d) 100%

28. A businessman purchased 35 kg dal of Rs 525 and

sells it at the rate of Rs 18 per kg. Then the rate of profit or loss

is:

(a) 20% profit (b) 25% loss (c) 25% profit (d) 20% loss

29. The difference and the product of two numbers are

32 and 2145 respectively. Their sum is:

(a) 89 (b) 98 (c) 78 (d) 87

30. The sum of two numbers is 45 and their product is

500. The G.C.M. of the numbers is:

(a) 5 (b) 9 (c) 10 (d) 15

31. The simplest value of

5 2

−

+ −

(a) 9 (b) 1 (c) 14 (d) 18

32. The sum of the present age of the father and his

daughter is 42 years. 7 years later, the father will be 3 times

old than the daughter. The present age of the father is:

(a) 35 (b) 28 (c) 32 (d) 33

33. If x < 5, which one is true?

(a) x3 > 125 (b) x3 < 125 (c) x3 ≥ 125 (d) x3 ≤ 125

34. The average of the first four of five numbers is 40 and

that of the last four numbers is 60. The difference of the last

and the first number is:

(a) 400 (b) 200 (c) 40 (d) 80

35. The numbers which divide 80 in such a way that the

sum of their reciprocals is

are:

(a) 40, 40 (b) 35, 45 (c) 30, 50 (d) 60, 20

36. 20 labourers can do a work in 20 days if everybody

works for 6 hours daily. Then 25 labourers can do the same

work in 12 days by working daily for:

(a) 8 hours (b) 6 hours (c) 4 hours (d) 10 hours

37. The value of 3.3%

of Rs 300 is:

(a) Rs 9.90 (b) Rs 11

38. Two identical bottles A and B of sweet drinks contain

sugar such that 30% of sugar in A is equal to 40% sugar in B.

The ratio of sugar in the two bottles is:

(a) 4 : 3 (b) 3 : 4 (c) 12 : 1 (d) 1 : 12

39. The volume is decreased by 10% when ice is melted

into water. If water is freezed, the volume is increased by:

(a) 11

% (b) 11

% (c) 9

% (d) 10%

40. The greatest two digit number whose square root is

an integer is:

(a) 99 (b) 89 (c) 81 (d) 10

41. If A : B = 3 : 4, C : B = 5 : 4, C : D = 10 : 9, then

A : B : C : D is:

(a) 6 : 8 : 10 : 9 (b) 8 : 6 : 9 : 10

42. If 20% of A = 30% of B =

th of C, then A : B : C is:

(a) 2 : 3 : 16 (b) 3 : 2 : 16

43. If A = 2 +

and B = a +

then A = B if a is:

(a)

(b) –

44. A man retired from his service at the age of 60. He

served for

th years of his retirement age. He joined his job

at the age of:

(a) 36 years (b) 24 years (c) 18 years (d) 30 years

45. If

= = , then the value of

a b c

− +

+ − is:

(a) 0 (b) 1 (c) 3 (d) ∝

46. The least number divisible by any integer between 1

and 9 is:

(a) 2250 (b) 5220 (c) 2520 (d) 2025

47. The value of

. . . . . .

7 7 7 6 6 6

7 7 6 6 7 6

× × − × ×

× + × + × is:

(a) 0.1 (b) 1 (c) 1.3 (d) 1.1

48. A number is increased consecutively two times by

20% each. The original number is actually increased by:

(a) 40% (b) 42% (c) 44% (d) 20%

49. 42 oranges are distributed among some boys and girls.

If each boy gets 3 then each girl gets 6. But if each boy gets 6

and each girl gets 3, it needs 6 more. The number of girls is:

(a) 4 (b) 6 (c) 8 (d) 10

50. An alloy of zinc and copper contains the metals in

the ratio 5 : 3. The quantity of zinc to be added to 16 kg of the

alloy so that the ratio of the metal may be 3 : 1 is:

(a) 2 kg (b) 4 kg (c) 3 kg (d) 8 kg

OBJECTIVE-TYPE QUESTIONS

255 _ OCTOBER 2001 _ THE COMPETITION MASTER

1. (b) Reqd no. of posts = 4 (at the corners) + 4 × 12

(in between on the sides)

= 4 + 48 = 52

2. (d) Let the original no. of students be x

A.T.S. 40x + 120 × 32 = (x + 120)36 ⇒ x = 120

∴ Reqd no. of students after joining the new students

= x + 120 = 240

3. (c) Let the given amount be Rs x

A.T.S. x

(

− + 250) = 100⇒ x = Rs 4200

4. (c) No. of successful candidates = 76.8% of x

x = total students

( × =

768

10 100

125

Which must be a whole no. ∴The reqd least no. = 125

5. (c)

− = 4⇒x = 48 l

= = 1

7. (d) Reqd no. of students = 30 ×

= 25 [Q ]

= 6

8. (d)

x 9

+ = ⇒ 4

x = 27

Their daily wages are Rs 27 + 9, Rs 27 i.e. Rs 36, Rs 27

9. (b) Reqd ratio = =

−

= C.P.

S.P.

100

S.P.=C.P.–Loss

= 8 : 7

10. (b) 1.2 + 1.44 + 1.728 = 4.368

11. (b) No. of failures = 39.25% of x =

× 3925

100 100

= 157

400

x which must be a whole no.

∴ x = 400 (least no.)

12. (d) H.C.F. of

100

, , =

HCFof 3, 9, 6

LCMof 5, 25,25

= .12

13. (b) .8 =

A.T.S.

x – 25 =

+ 14 ⇒ x = 130

14. (b) x

x 30

= ⇒ = 4

40 Sum of ages = x + x + 30 = 110

or 7x – 4x = 30 ⇒ x = 10 ∴ Sum of ages = 11x = 110

15. (c)

4x 4

3x 4

= 9⇒ =

Man’s present age = 32 years, woman’s age = 24 yrs

Let the reqd time be y years

∴ 32 5

−

= ⇒ = y

24 y

y 12years

16. (c)

a b

a ab b

a b

3 3

2 2

−

+ +

= ,

( . )

( . ) . ( )

. .

1 3 1 . .

1 3 3 1 1

1 3 1 3

3 3

2 2

−

+ × +

= − =

17. (d)

3 4 5

10 24

+ +

× x = ⇒x = Rs

18. (d)

19. (c) 2 7 2 7 2

. . ,

. .

= + = + = 2.7

= 1

20. (b) L.C.M. of 3, 5, 7 = 105

Four least common multiples of 3, 5, 7 are 105, 210,

315, 420 ∴ Greatest = 420

21. (d) 107 120

– 5 – 1

102 119 Reqd no. = HCF of 102 and 119 = 17

22. (d) x% of 75 = 25 ⇒ x =

× 100 = 33.3

23. (d)

100

× X = Y ⇒ =

= ⇒ 9

X : Y = 9 : 5

24. (d) Value = 99 × 6 +

+ + + + +

= 594 +

= 594 + 3 = 597

25. (c) n(n2 – 1) = n(n – 1) (n + 1) Take n = 3 (Q n ≥ 1)

= 3 × 2 × 4 = 24 (Always take least no.)

Which is divisible by 24

26. (b) (.87)3 + (.13)3 + 3 × .87 × .13 (.87 + .13) = (.87 + .13)3

= (1.00)3 = 1 (.87 + .13 = 1.00)

a3 + b3 + 3ab (a + b) = (a + b)3

27. (a) Let the no. of oranges be 20 (L.C.M. of 4 & 5)

C.P. =

× 20 = Rs 5, S.P. = 1

× 20 = Rs 4

∴ Loss = 5 – 4 = Re 1

Loss% =

Loss

C.P.

100

× = ×100 = 20

28. (a) C.P. of 1 kg dal =

525

= Rs 15, S.P. = Rs 18

Profit = S.P. – C.P. = 18 – 15 = Rs 3, P% =

× 100 = 20

ANSWERS AND EXPLANATIONS

6. (b)

OBJECTIVE-TYPE QUESTIONS

256 _ OCTOBER 2001 _ THE COMPETITION MASTER

29. (b) x – y = 32 ∴ x = 32 + y

Product = y(32 + y) = 2145

or y2 + 32y – 2145 = 0 ⇒ y2 + 65y – 33y – 2145 = 0

y(y + 65) – 33 (y + 65) = 0 ⇒(y – 33) (y + 65) = 0

⇒ y = 33, –65 y ≠ 65 ∴ y = 33

The sum of nos. = y + (y + 32) = 2y + 32

= 2 × 33 + 32 = 98

30. (a) Let the nos. be x, 45 – x A.T.S x(45 – x) = 500

x2 – 45x + 500 = 0 ⇒ x2 – 20x – 25x + 500 = 0

x(x– 20) – 25 (x – 20) = 0 ⇒ (x – 20) (x – 25) = 0

x = 25, 20. If one no. = 25 other no. = 45 – 25 = 20

G.C.M. of 25, 20 = 5

31. (d) Value = + + −

−

( ) ( )

( )

5 2 5 2

5 2

2 2

= + + + + −

−

5 4 4 5 5 4 4 5

5 4

= 18

32. (a) Let father’s present age be x years

∴ Son’s present age 42 – x years

A.T.S x + 7 = 3(42 – x + 7) ⇒ x = 35 years

33. (b)

34. (d) x1 + x2 + x3 + x4 = 4 × 40 = 160

x2 + x3 + x4 + x5 = 4 × 60 = 240

Subtracting x1 – x5 = – 80 or x5 – x1 = 80

35. (c)

36. (a) Men Days Hours

20 20 6

25 12 x

More men less hours

25 : 20

Less days more hours

12 : 20

∴ × ×

x = =

6 20 20

25 12

37. (c) 3 3 3

= + =

3.3

% of Rs 300 =

3 100

300

× = Rs 10

38. (a) 30% of x = 40% of y ⇒

100

x =

100

y⇒

= 4 : 3

39. (b) Volume of ice = x (say)

∴ Volume of water (when ice melted)

(100 10)

100

x =

When water is freezed, it changes into ice

Volume becomes = x

∴ Increase = x

If vol. of water =

, increase in vol. (when freezed)

If volume of water 100, increase in volume

10 x

× × = 10

100 11

40. (c) 81 =9

41. (a) A : B : C A : B : C : D

3 : 4 12 : 16 : 20

4 : 5 10 : 9

12 : 16 : 20 120 : 160 : 200 : 180 or 6 : 8 : 10 : 9

42. (d)

100

B =

∴ A : B : C = 5

: : 6 or 15 : 10 : 18

43. (b & c) A = B ⇒ 2+ 1

= a + 1

⇒ 2a2 – 3a – 2 = 0

⇒ (2a + 1) (a – 2) = 0 ⇒ a = 2, –

44. (b) He served for 60 ×

= 36 years

∴ He joined his job at the age of 60 – 36 = 24 years

45. (a)

= = = k, a = 2k, b = 7k, c = 5k

a b c

− +

+ − =

2k 7k 5k

− +

+ − =

= 0

46. (c)

47. (a)

a b

a b ab

3 3

2 2

−

+ +

= a – b = .7 – .6 = 0.1

48. (c) Let the no. be 100

No. after increasing consecutively two times

= 100

120

100

120

100

× × = 144

∴ The original no. is actually increased by

144 – 100 = 44 44%

49. (a) Let the no. of boys be x and that of girls be y

A.T.S. 3x + 6y = 42 or x + 2y = 14 ... (i)

6x + 3y = 42 + 6 ⇒ 2x + y = 16 ... (ii)

Solving (i) and (ii) we get y = 4

50. (d) Zinc =

× 16 = 10 kg Copper = 6 kg

A.T.S. 10

+ = ⇒ x x = 8 kg

}: : 6 : x

Sunday 4 December 2011

OBJECTIVE-TYPE QUESTIONS