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

  1. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

  2. A.

    15 cm

    B.

    25 cm

    C.

    35 cm

    D.

    42 cm

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  3. Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

  4. A.

    75

    B.

    81

    C.

    85

    D.

    89

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  5. Find the highest common factor of 36 and 84.

  6. A.

    4

    B.

    6

    C.

    12

    D.

    18

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  7. Which of the following fraction is the largest ?

  8. A.

    \(\frac { 7 } { 8}\)

    B.

    \( \frac { 13 } { 16}\)

    C.

    \( \frac { 31 } { 40 }\)

    D.

    \(\frac {63 } {80 } \)

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  9. The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:

  10. A.

    504

    B.

    536

    C.

    544

    D.

    548

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  11.  

    The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

  12. A.

    123

    B.

    127

    C.

    235

    D.

    305

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  13. Which of the following has the most number of divisors?

  14. A.

    99

    B.

    101

    C.

    176

    D.

    182

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  15. The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

  16. A.

    28

    B.

    32

    C.

    40

    D.

    64

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  17. The H.C.F. of \( \frac { 9 } { 10 }\) , \( \frac { 12 } { 25 } \),\(\frac { 1 8} { 35} \)and\( \frac { 21 } { 40 }\)is:

  18. A.

    \(\frac { 3 } {5 }\)

    B.

    \(\frac {252 } {5 }\)

    C.

    \( \frac {3 } { 1400 } \)

    D.

    \( \frac { 63 } {700 }\)

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  19.  

    If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

  20. A.

    \( \frac { 55 } { 601} \)

    B.

    \(\frac { 601 } { 55 } \)

    C.

    \(\frac { 11 } { 120 } \)

    D.

    \( \frac { 120 } {11 }\)

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