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

  1. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

  2. A.

    4

    B.

    7

    C.

    9

    D.

    13

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  3. The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

  4. A.

    101

    B.

    107

    C.

    111

    D.

    185

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  5. The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

  6. A.

    276

    B.

    299

    C.

    322

    D.

    345

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  7. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

  8. A.

    4

    B.

    10

    C.

    15

    D.

    16

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  9. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

  10. A.

    4

    B.

    5

    C.

    6

    D.

    8

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  11. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

  12. A.

    9000

    B.

    9400

    C.

    9600

    D.

    9800

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  13. Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

  14. A.

    40

    B.

    80

    C.

    120

    D.

    200

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  15. The G.C.D. of 1.08, 0.36 and 0.9 is:

  16. A.

    0.03

    B.
    0.9
    C.

    0.18

    D.

    0.108

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  17. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

  18. A.

    1

    B.

    2

    C.

    3

    D.

    4

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  19. The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

  20. A.

    74

    B.

    94

    C.

    184

    D.

    364

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