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Home Aptitude Problems on H.C.F and L.C.M Comments

  • Question
  • The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:


  • Options
  • A. 1008
  • B. 1015
  • C. 1022
  • D. 1032

  • Correct Answer
  • 1015 

    Explanation
    Required number = (L.C.M. of 12,16, 18, 21, 28) + 7

       = 1008 + 7

       = 1015


  • Problems on H.C.F and L.C.M


    Search Results


    • 1. Find the lowest common multiple of 24, 36 and 40.

    • Options
    • A. 120
    • B. 240
    • C. 360
    • D. 480
    • Discuss
    • 2. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

    • Options
    • A. 12
    • B. 16
    • C. 24
    • D. 48
    • Discuss
    • 3. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

    • Options
    • A. 3
    • B. 13
    • C. 23
    • D. 33
    • Discuss
    • 4. Find the highest common factor of 36 and 84.

    • Options
    • A. 4
    • B. 6
    • C. 12
    • D. 18
    • Discuss
    • 5. The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

    • Options
    • A. 28
    • B. 32
    • C. 40
    • D. 64
    • Discuss
    • 6. 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?

    • Options
    • A. 26 minutes and 18 seconds
    • B. 42 minutes and 36 seconds
    • C. 45 minutes
    • D. 46 minutes and 12 seconds
    • Discuss
    • 7. Reduce 128352/238368 to its lowest terms

    • Options
    • A. 34
    • B. 513
    • C. 713
    • D. 913
    • Discuss
    • 8. The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

    • Options
    • A. 1677
    • B. 1683
    • C. 2523
    • D. 3363
    • Discuss
    • 9. Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

    • Options
    • A. 40
    • B. 80
    • C. 120
    • D. 200
    • Discuss
    • 10. What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?

    • Options
    • A. 196
    • B. 630
    • C. 1260
    • D. 2520
    • Discuss


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