H.C.F & L.C.M. of Numbers Questions and Answers

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Q41
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 ?
  • A 4
  • B 10
  • C 15
  • D 16
Answer: Option D
Q42
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:
  • A 4
  • B 5
  • C 6
  • D 8
Answer: Option A
Q43
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
  • A 9000
  • B 9400
  • C 9600
  • D 9800
Answer: Option C
Q44
The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
  • A 101
  • B 107
  • C 111
  • D 185
Answer: Option C
Q45
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is
  • A 40
  • B 80
  • C 120
  • D 200
Answer: Option A
Q46
The G.C.D. of 1.08, 0.36 and 0.9 is:
  • A 0.03
  • B 0.9
  • C 0.18
  • D 0.108
Answer: Option D
Q47
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
  • A 1
  • B 2
  • C 3
  • D 4
Answer: Option B
Q48
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
  • A 74
  • B 94
  • C 184
  • D 364
Answer: Option D
Q49
Find the lowest common multiple of 24, 36 and 40.
  • A 120
  • B 240
  • C 360
  • D 480
Answer: Option C
Q50
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
  • A 3
  • B 13
  • C 23
  • D 33
Answer: Option C
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