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LCM and HCF Quiz

Total questions: 12

Worksheet time: 6mins

Name
Class
Date
1.

The H.C.F. of two numbers is 12 and their difference is 12. Which of the following can be the numbers?

a)

66, 77

b)

70, 84

c)

94, 108

d)

84, 96

e)

66, 106

2.

The HCF of two numbers is 29 & their sum is 174. The possible numbers are

a)

1,174

b)

74,100

c)

29, 154

d)

29, 145

e)

None of these

3.

Find the side of the largest square slab which can be paved on the floor of a room 5 meters 44cm long and 3 meters 74 cm broad.

a)

56 cm

b)

42 cm

c)

38 cm

d)

34 cm

e)

48 cm

4.

The product of two numbers is 6760 and their H.C.F. is 13. How many such pairs can be formed?

a)

0

b)

3

c)

4

d)

1

e)

2

5.

Least perfect cube which is divisible by 2, 3, 4 and 6 is

a)

360

b)

216

c)

512

d)

1728

e)

120

6.

The least perfect square number which is divisible by 3, 4, 5, 6 and 8 is

a)

900

b)

1200

c)

2500

d)

3600

e)

1600

7.

A room is 4 mts 37 cm long and 3 mts 23 cm broad. The floor needs to be paved with a minimum number of square slabs. Find the least number of slabs required for this purpose.

a)

485

b)

431

c)

391

d)

381

e)

415

8.

Find the greatest number which will divide 3959, 4082 and 4164 leaving the same remainder in each case.

a)

30

b)

45

c)

41

d)

43

e)

47

9.

Find the greatest number which will divide 1063 and 1403 leaving the remainder 9 in each case.

a)

48

b)

34

c)

40

d)

42

e)

36

10.

A merchant has three different types of milk- 324 litres, 351 litres and 459 litres. Find the minimum number of casks of equal size that can store the milk without mixing.

a)

17

b)

61

c)

42

d)

45

e)

51

11.

The traffic lights at three different road crossings change after every 24 sec., 36 sec. and 72 sec. respectively. If they all change simultaneously at 8 : 20 : 00 hrs; then they will again change simultaneously at:

a)

8 : 21 : 12 hrs

b)

8 : 28 : 22 hrs

c)

8 : 27 : 36 hrs

d)

8 : 27 : 48 hrs

e)

None of these

12.

A wholesale coffee dealer has 24 kilograms, 120 kilograms and 72 kilograms of three different qualities of coffee. He wants it all to be packed into various boxes of equal size without mixing. Find the capacity of the largest possible box.

a)

50

b)

36

c)

24

d)

12

e)

45