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HCF and LCM

Total questions: 16

Worksheet time: 8mins

Name
Class
Date
1.

The HCF of two numbers is 12 and their LCM is 924. If one number is 132, find the other.

a)

84

b)

72

c)

66

d)

88

2.

Find the smallest number which when divided by 12, 16, and 20 leaves a remainder 3 in each case.

a)

243

b)

243

c)

243

d)

243

3.

What is the greatest number that divides 84 and 108?

I. The numbers differ by 24.

II. Their sum is 192.

a)

A: Statement I alone is sufficient, but Statement II alone is not.

b)

B: Statement II alone is sufficient, but Statement I alone is not.

c)

C: Both statements together are sufficient, but neither alone is sufficient.

d)

D: Each statement alone is sufficient.

e)

E: Statements I and II together are not sufficient.

4.

The greatest number that divides 43, 91, and 183 to leave the same remainder in each case is:

a)

4

b)

7

c)

9

d)

13

5.

The least number which when divided by 6, 9, 12 leaves a remainder 3 is:

a)

183

b)

184

c)

185

d)

186

6.

The product of two numbers is equal to the product of their HCF and LCM. True or False?

a)

True

b)

False

7.

The largest number that divides 398, 436, and 542 leaving the same remainder is:

a)

12

b)

18

c)

24

d)

36

8.

The smallest number which when divided by 15, 20, and 25 leaves a remainder 10 is:

a)

310

b)

410

c)

510

d)

610

9.

What is the HCF of two numbers?

Statements:

I. The LCM of the two numbers is 180.

II. The product of the two numbers is 1620.

a)

A: Statement I alone is sufficient, but Statement II alone is not.

b)

B: Statement II alone is sufficient, but Statement I alone is not.

c)

C: Both statements together are sufficient, but neither alone is sufficient.

d)

D: Each statement alone is sufficient.

e)

E: Statements I and II together are not sufficient.

10.

The largest number that divides 130, 169, and 208 leaving the same remainder is:

a)

13

b)

26

c)

39

d)

52

11.

What is the greatest number that divides 130, 169, and 208 leaving the same remainder?

I. The remainder is less than 13.

II. The number divides the difference of any two numbers.

a)

A: Statement I alone is sufficient, but Statement II alone is not.

b)

B: Statement II alone is sufficient, but Statement I alone is not.

c)

C: Both statements together are sufficient, but neither alone is sufficient.

d)

D: Each statement alone is sufficient.

e)

E: Statements I and II together are not sufficient.

12.

Which figure is odd?

a)

A triangle with equal sides

b)

A triangle with unequal sides

c)

A triangle with one right angle

d)

A square

13.

Which figure comes next?

◆ ◆ ◯ ◆ ◆ ◯ ?

a)

◯

b)

◆

c)

▲

d)

◼

14.

Observe the problem figures given and select one option from the answer figures which will continue the same pattern followed in the problem figures.

a)

5

b)

4

c)

3

d)

2

15.

Observe the problem figures given and select one option from the answer figures which will continue the same pattern followed in the problem figures.

a)

5

b)

4

c)

3

d)

2

16.

Observe the problem figures given and select one option from the answer figures which will continue the same pattern followed in the problem figures.

a)

1

b)

2

c)

3

d)

5