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 ?

  1. 4
  2. 10
  3. 15
  4. 16

  Answer And Explanation

  Answer: Option D
  Explanation:
  Note:
  

  

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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:

  1. 4
  2. 5
  3. 6
  4. 8

  Answer And Explanation

  Answer: Option A
  Explanation:
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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:

  1. 9000
  2. 9400
  3. 9600
  4. 9800

  Answer And Explanation

  Answer: Option C
  Explanation:
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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:

  1. 40
  2. 80
  3. 120
  4. 200

  Answer And Explanation

  Answer: Option A
  Explanation:
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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. 1
  2. 2
  3. 3
  4. 4

  Answer And Explanation

  Answer: Option B
  Explanation:
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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:

  1. 74
  2. 94
  3. 184
  4. 364

  Answer And Explanation

  Answer: Option D
  Explanation:
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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 ?

  1. 26 minute and 18 seconds
  2. 42 minute and 36 seconds
  3. 45 minutes
  4. 46 minute and 12 seconds

  Answer And Explanation

  Answer: Option D
  Explanation:
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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 ?

  1. 196
  2. 630
  3. 1260
  4. 2520

  Answer And Explanation

  Answer: Option B
  Explanation:
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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:

  1. 1008
  2. 1015
  3. 1022
  4. 1032

  Answer And Explanation

  Answer: Option B
  Explanation:
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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:

  1. 504
  2. 544
  3. 536
  4. 548

  Answer And Explanation

  Answer: Option D
  Explanation:
  Note:
  

  

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