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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

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  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

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  5.    

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

  6. A.

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

    B.

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

    C.

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

    D.

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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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