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Home Aptitude HCF and LCM Comments

  • Question
  • The largest measuring cylinder that can accurately fill 3 tanks of capacity 98, 182 and 266 litres each, is of capacity ?


  • Options
  • A. 7 lts
  • B. 14 lts
  • C. 98 lts
  • D. 42 lts

  • Correct Answer
  • 14 lts 

    Explanation

    To know the the measuring cylinder that can fill all the given capacities , they must be divisible by the required number.

    98,182,266 all are divisible by 14
    So  14 litres  is the largest cylinder that can fill all the given cylinders.

                                           (or)

    The other method is take HCF of all given capacities i.e 98, 182 and 266.


  • Search Results


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

    • Options
    • A. 120
    • B. 240
    • C. 360
    • D. 480
    • Discuss
    • 2. H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 2 4 x 3 5 x 5 2 x 7 2 . What is the third number?

    • Options
    • A. 47628
    • B. 49874
    • C. 24157
    • D. 42146
    • Discuss
    • 3. A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.

    • Options
    • A. 107
    • B. 117
    • C. 127
    • D. 137
    • Discuss
    • 4. H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is

    • Options
    • A. 180
    • B. 360
    • C. 540
    • D. 1260
    • Discuss
    • 5. The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is

    • Options
    • A. 12
    • B. 48
    • C. 84
    • D. 108
    • Discuss
    • 6. If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ?

    • Options
    • A. 6
    • B. 8
    • C. 4
    • D. 9
    • Discuss
    • 7. The G.C.D of 1.08, 0.36 and 0.9 is

    • Options
    • A. 0.03
    • B. 0.9
    • C. 0.18
    • D. 0.108
    • Discuss
    • 8. Find the greatest number that will divide 964, 1238 and 1400 leaving remainder of 41,31 and 51 respectively ?

    • Options
    • A. 64
    • B. 69
    • C. 71
    • D. 58
    • Discuss
    • 9. Find the least common multiple of 15 and 12?

    • Options
    • A. 3
    • B. 12
    • C. 30
    • D. 60
    • Discuss
    • 10. Three numbers are in the ratio of 3:4:5 and their L.C.M is 3600.Their HCF is:

    • Options
    • A. 40
    • B. 60
    • C. 100
    • D. 120
    • Discuss


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