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

  1. What is the HCF of 1095 and 1168?

  2. A.
    37
    B.
    73
    C.
    43
    D.
    83

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  3. Find the HCF of 210, 385, and 735.

  4. A.
    7
    B.
    14
    C.
    21
    D.
    35

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  5. What will be the HCF of 608, 544; 638, 783; and 425, 476 respectively?

  6. A.
    32, 29, 17
    B.
    17, 32, 29
    C.
    29, 32, 17
    D.
    32, 17, 29

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  7. If the HCF of two numbers is 27, and their sum is 216, find these numbers.

  8. A.
    27, 189
    B.
    154, 162
    C.
    108, 108
    D.
    81, 189

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  9. Two numbers are in the ratio of 15:11. If the HCF of numbers is 13, find the numbers.

  10. A.
    75, 55
    B.
    105, 77
    C.
    15, 11
    D.
    195, 143

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  11. Find the greatest integer that divides 358, 376, and 334 and leaves the same remainder in each case.

  12. A.
    6
    B.
    7
    C.
    8
    D.
    9

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  13. Three bells toll at intervals of 36 sec, 40 sec, and 48 sec respectively. They start singing together at a particular time. When will they toll next together?

  14. A.
    6 minutes
    B.
    12 minutes
    C.
    18 minutes
    D.
    24 minutes

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  15. The LCM of two numbers is 7700, and their HCF is 11. If one of these numbers is 275, what is the other number?

  16. A.
    279
    B.
    283
    C.
    308
    D.
    318

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  17. The LCM of two numbers is 8919, and their sum is 1000. The two numbers are:

  18. A.
    993 and 7
    B.
    989 and 11
    C.
    991 and 9
    D.
    987 and 13

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  19. If the LCM of two numbers is 70 and their HCF is 2, find the numbers.

  20. A.
    2, 35
    B.
    6, 70
    C.
    4, 70
    D.
    14, 10

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