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Worksheets

Numbers 1 SSC

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Which of the following is divisible by 11?

a)

8787878

b)

7777777

c)

1234567

d)

More than one of the above

2.

Five bells toll at intervals of 5, 6, 10, 12 and

15 seconds respectively. If they toll together at the

same time, after how many seconds will they toll

together again, for the first time?

a)

60

b)

54

c)

58

d)

62

3.

What should be the missing digit so that the number 275_476 becomes exactly divisible by 11?

a)

3

b)

5

c)

7

d)

9

4.

The LCM of the fractions 1/5, 4/15 and 8/25 is how

many times their HCF?

a)

100

b)

110

c)

120

d)

105

5.

Which of the following represents the sum of a

certain number of consecutive natural numbers

starting from 1?

a)

1075

b)

127

c)

175

d)

1275

6.

Four runners started running simultaneously from a

point on a circular track. They took 200 seconds,

300 seconds, 360 seconds and 450 seconds to

complete one round. After how much time do they

meet at the starting point (in seconds) for the first time?

a)

1200

b)

1800

c)

1600

d)

1400

7.

When a number is successively divided by 6, 5 and

4, it leaves remainders of 4, 3 and 2 respectively.

Find the greatest such four-digit number.

a)

9922

b)

9912

c)

9921

d)

9972

8.

A, B and C are digits and 64A3B6C is divisible by

360. How many values can (A, B) take?

a)

8

b)

10

c)

9

d)

5

9.

If three numbers are in the ratio 3 : 4 : 5, and their

LCM is 480, then find the sum of the three numbers.

a)

96

b)

72

c)

82

d)

108

10.

A number when divided by a certain divisor leaves a

remainder of 16. If twice the number is divided by the

same divisor, the remainder is 9. Find the divisor.

a)

32

b)

23

c)

52

d)

25

11.

What is the least natural number which when

divided by 18 and 24 leaves remainders of 11 and

17 respectively?

a)

65

b)

62

c)

63

d)

64

12.

A perfect square having its last 2 digits equal can

have each of those digits equal to _______.

a)

1

b)

4

c)

5

d)

6

13.

Which of the following is a prime number?

a)

851

b)

589

c)

429

d)

307

14.

What is the least natural number which when divided by 18 and 24 leaves remainders of 11 and 17 respectively?

a)

65

b)

75

c)

85

d)

95

15.

Find the sum of all the factors of 5400.

a)

19400

b)

18600

c)

16200

d)

17400

16.

The difference between the LCM and HCF of two natural numbers a and b is 57. What is the minimum value of a + b?

a)

18

b)

22

c)

27

d)

29

17.

When a number is successively divided by 6, 5 and 4, it leaves remainders of 4, 3 and 2 respectively. Find the greatest such four-digit number.

a)

9922

b)

9972

c)

9962

d)

9982

18.

Find the greatest number which divides 971 leaving a remainder 3 and divides 852 leaving a remainder 5.

a)

121

b)

142

c)

131

d)

161

19.

What is the largest three-digit number which when divided by 9 leaves a remainder 6 and when divided by 7 leaves a remainder 5?

a)

978

b)

998

c)

988

d)

992

20.

What is the index of the greatest power (IGP) of 3 that exactly divides 100!?

a)

72

b)

68

c)

48

d)

34