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Home Aptitude HCF and LCM Comments

  • Question
  • 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

  • Correct Answer


  • Explanation

    N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)

    = H.C.F. of 3360, 2240 and 5600 = 1120.

    Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4


  • Search Results


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

    • Options
    • A. 120
    • B. 240
    • C. 360
    • D. 480
    • Discuss
    • 3. 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
    • 4. 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
    • 5. 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
    • 6. 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
    • 7. 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
    • 8. Find the least common multiple of 15 and 12?

    • Options
    • A. 3
    • B. 12
    • C. 30
    • D. 60
    • Discuss
    • 9. 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
    • 10. In a palace, three different types of coins are there namely gold, silver and bronze. The number of gold, silver and bronze coins is 18000, 9600 and 3600 respectively. Find the minimum number of rooms required if in each room should give the same number of coins of the same type ?

    • Options
    • A. 26
    • B. 24
    • C. 18
    • D. 12
    • Discuss


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