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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


  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


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

  6. A.

    4

    B.

    6

    C.

    12

    D.

    18


  7. Which of the following fraction is the largest ?

  8. A.

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

    B.

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

    C.

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

    D.

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


  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


  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


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

  14. A.

    99

    B.

    101

    C.

    176

    D.

    182


  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


  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.

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


  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.

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