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problems on l c m and h c f MCQs

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

1. Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?
0

A. 106

B. 112

C. 108

D. 53

2. Find the highest common factor of 36 and 84.
0

A. 6

B. 12

C. 18

D. 4

3. The least number which when add 3 to it, completely divided 8, 12 and 18 is_______?
0

A. 71

B. 69

C. 68

D. 70

4. Find the least square number which is divisible by 10, 12, 15 and 18?
0

A. 900

B. 1600

C. 3600

D. 2500

5. Least perfect square number, exactly divisible by 21, 36 and 56 is_________?
0

A. 7056

B. 504

C. 3600

D. 441

6. The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is___________?
0

A. 345

B. 276

C. 299

D. 322

7. The least number which when divided by 8, 12 and 16, leave in each remainder 3, is_______?
0

A. 51

B. 71

C. 70

D. 69

8. Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?
0

A. 5054

B. 5035

C. 5073

D. 5016

9. LCM of 18 and 27 is_________?
0

A. 91

B. 54

C. 89

D. 85

10. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
0

A. 45 min

B. 26 min 18 sec

C. 42 min 36 sec

D. 46 min 12 sec

11. Four bells begin to toll together respectively at the intervals of 8, 10, 12 and 16 seconds. After how many seconds will they toll together again?
0

A. 240 seconds

B. 246 seconds

C. 242 seconds

D. 243 seconds

12. The least number which when diminished by 7 is divisible by 21, 28, 36 and 45 is________?
0

A. 1267

B. 1265

C. 1261

D. 68

13. A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?
0

A. 485

B. 391

C. 381

D. 431

14. Three men start together to travel the same way around a circular track of 11 kilometers in circumference. Their speeds are 4, 5 and 8 kilometers per hour respectively. When will they meet at a starting point?
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A. 12 hours

B. 22 hours

C. 220 hours

D. 11 hours

15. The least square number which divides 8, 12 and 18 is________?
0

A. 144

B. 121

C. 64

D. 100

16. Three numbers are in the ratio 1:2:3 and their H.C.F is 12. The numbers are__________?
0

A. 12, 24, 36

B. 5, 10, 15

C. 10, 20, 30

D. 4, 8, 12

17. Find the greatest number that exactly divides 35, 91 and 840?
0

A. 6

B. 8

C. 7

D. 5

18. 252 can be expressed as a product of primes as_______________?
0

A. 2 * 3 * 3 * 3 * 7

B. 3 * 3 * 3 * 3 * 7

C. 2 * 2 * 2 * 3 * 7

D. 2 * 2 * 3 * 3 * 7

19. Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?
0

A. 435

B. 515

C. 420

D. 518

20. The smallest number when increased by 1 is exactly divisible by 12, 18, 24, 32 and 40 is__________?
0

A. 1449

B. 1440

C. 1439

D. 1459

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