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Home Aptitude HCF and LCM Comments

  • Question
  • 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

  • Correct Answer
  • 71 

    Explanation

    To find the greatest number which divides the numbers 964, 1238 and 1400 leaving the remainders 41, 31 and 51 is nothing but the HCF of (964 - 41), (1238 - 31), (1400 - 51).

    Therefore, HCF of 923, 1207 and 1349 is 71.


  • Search Results


    • 1. 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
    • 2. 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
    • 3. 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
    • 4. Find the lowest common multiple of 24, 36 and 40.

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

    • Options
    • A. 3
    • B. 12
    • C. 30
    • D. 60
    • Discuss
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. Find the HCF of 865 and 2595.

    • Options
    • A. 25
    • B. 2595
    • C. 865
    • D. 5
    • Discuss


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