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Quiz on L.C.M and H.C.F for SSC Exams with Explanation
L.C.M and H.C.F Quiz

1. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
 4
 10
 15
 16
Answer: Option
D
Explanation:
Note:
L.C.M and H.C.F Quiz

2. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
 4
 5
 6
 8
Answer: Option
A
Explanation:
Note:
L.C.M and H.C.F Quiz

3. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
 9000
 9400
 9600
 9800
Answer: Option
C
Explanation:
Note:
L.C.M and H.C.F Quiz

4.Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
 40
 80
 120
 200
Answer: Option
A
Explanation:
Note:
L.C.M and H.C.F Quiz

5.The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
 1
 2
 3
 4
Answer: Option
B
Explanation:
Note:
L.C.M and H.C.F Quiz

6.The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
 74
 94
 184
 364
Answer: Option
D
Explanation:
Note:
L.C.M and H.C.F Quiz

7. 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 again at the starting point ?
 26 minute and 18 seconds
 42 minute and 36 seconds
 45 minutes
 46 minute and 12 seconds
Answer: Option
D
Explanation:
Note:
L.C.M and H.C.F Quiz

8. What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
 196
 630
 1260
 2520
Answer: Option
B
Explanation:
Note:
L.C.M and H.C.F Quiz

9.The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
 1008
 1015
 1022
 1032
Answer: Option
B
Explanation:
Note:
L.C.M and H.C.F Quiz

10. The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
 504
 544
 536
 548
Answer: Option
D
Explanation:
Note:
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