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Arithmetic Aptitude :: Problems on H.C.F and L.C.M

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

  2. A.

    120

    B.

    240

    C.
    360
    D.

    480


  3. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

  4. A.

    3

    B.

    13

    C.

    23

    D.

    33


  5.    

     Reduce  \(\frac { 128352 } { 238368 } \)to its lowest terms.

  6. A.

    \( \frac {3 } {4 }\)

    B.

    \(\frac {5 } { 13 } \)

    C.

    \( \frac {7 } { 13 }\)

    D.

    \( \frac { 9 } { 13}\)


  7. 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:

  8. A.

    1677

    B.

    1683

    C.

    2523

    D.

    3363


  9. 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 ?

  10. A.

    26 minutes and 18 seconds

    B.

    42 minutes and 36 seconds

    C.

    45 minutes

    D.

    46 minutes and 12 seconds


  11. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

  12. A.

    279

    B.

    283

    C.

    308

    D.

    318


  13.  

    What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?

  14. A.

    196

    B.

    630

    C.

    1260

    D.

    2520


  15.  

    The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

  16. A.

    12

    B.

    16

    C.

    24

    D.

    48


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

  18. A.

    1008

    B.

    1015

    C.

    1022

    D.

    1032


  19. 252 can be expressed as a product of primes as:

  20. A.

    2 x 2 x 3 x 3 x 7

    B.

    2 x 2 x 2 x 3 x 7

    C.

    3 x 3 x 3 x 3 x 7

    D.

    2 x 3 x 3 x 3 x 7