problems on l c m and h c f MCQs – Page 2

Practise focused problems on l c m and h c f questions with marked answers for exam preparation and subject revision.

problems on l c m and h c f Mcqs

21. The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is_________?
0

A. 30/7

B. 30/98

C. 50/294

D. 60/147

22. Find the H.C.F of 54/9, 3 9/17 and 36/51?
0

A. 6/153

B. 17

C. 6

D. 17/6

23. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
0

A. 23

B. 3

C. 13

D. 33

24. Which of the following has the most number of divisors?
0

A. 176

B. 182

C. 99

D. 101

25. H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is___________?
0

A. 180

B. 1260

C. 360

D. 540

26. Find the H.C.F of 12, 16, 18 and 24?
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A. 3

B. 4

C. 2

D. 1

27. In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are______?
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A. 820,360

B. 820,369

C. 700,400

D. 800,500

28. How many minimum numbers of whole square slabs are required for paving the floor 12.96 meters long and 3.84 meters side?
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A. 108

B. 192

C. 256

D. 216

29. Three numbers are in the ratio 3:4:5 and their L.C.M is 2400. Their H.C.F is:
0

A. 80

B. 120

C. 200

D. 40

30. Which of the following has most number of divisors?
0

A. 99

B. 101

C. 182

D. 176

31. Find the greatest 4-digit number exactly divisible by 3, 4 and 5?
0

A. 9957

B. 9985

C. 9960

D. 9975

32. A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.
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A. 61

B. 45

C. 51

D. 47

33. What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?
0

A. None

B. 58

C. 78

D. 68

34. Find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case?
0

A. 12

B. 32

C. 18

D. 24

35. Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?
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A. 6

B. 5

C. 4

D. 3

36. The least number of five digits that have 144 their HCF is__________?
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A. 10085

B. 10070

C. 10080

D. 10075

37. Find the lowest common multiple of 24, 36 and 40.
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A. 360

B. 120

C. 480

D. 240

38. The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is__________?
0

A. 70

B. 90

C. 46

D. 10

39. There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?
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A. 17

B. 31

C. 23

D. 29

40. The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is_________?
0

A. 64

B. 40

C. 28

D. 32

Showing 21 to 40 of 93 mcqs