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Home Aptitude HCF and LCM Comments

  • Question
  • 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

  • Correct Answer
  • 60 

    Explanation

    Let the numbers be 3x, 4x, 5x.

     

    Then, their L.C.M = 60x.

     

    So, 60x=3600 or x=60.

     

    Therefore,  The numbers are (3 x 60), (4 x 60), (5 x 60).

     

    Hence,required H.C.F=60


  • Search Results


    • 1. Find the least common multiple of 15 and 12?

    • Options
    • A. 3
    • B. 12
    • C. 30
    • D. 60
    • Discuss
    • 2. 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
    • 3. 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
    • 4. 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
    • 5. 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
    • 6. 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
    • 7. Three different containers contain 1365 litres, 1560 litres and 1755 litres of mixtures of milk and water respectively. What biggest measure that can measure all the different quantities exactly ?

    • Options
    • A. 37 lit
    • B. 97 lit
    • C. 129 lit
    • D. 195 lit
    • Discuss
    • 8. Find the HCF of 865 and 2595.

    • Options
    • A. 25
    • B. 2595
    • C. 865
    • D. 5
    • Discuss
    • 9. The LCM of 72 and 84 is:

    • Options
    • A. 12 × 6 × 7
    • B. 6 × 2 × 7
    • C. 12 × 7 × 3
    • D. 72 × 84
    • Discuss
    • 10. A natural number, when divided by 9, 10, 12 or 15, leaves a remainder of 3 in each case. What is the smallest of all such numbers?

    • Options
    • A. 183
    • B. 153
    • C. 63
    • D. 123
    • Discuss


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