LCM and HCF


  1. What is the greatest number that divides 263, 935 and 1383 leaving a remainder of 7 in each case ?









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    The required greatest number is the HCF of 263-7, 935-7, 1383-7

    Correct Option: C

    The required greatest number is the HCF of 263-7, 935-7, 1383-7
    i.e. 256, 928 and 1376 HCF = 32


  1. If (x+2) is the HCF of x2 + ax + b and x2 + cx + d , then which one of the following is correct ?









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    If (x+2) is the HCF of x2 + ax + b and x2 + cx + d.
    Then, (-2)2 -2a +b = (-2)2 -2c + d

    Correct Option: C

    If (x+2) is the HCF of x2 + ax + b and x2 + cx + d.
    Then, (-2)2 -2a +b = (-2)2 -2c + d
    b + 2c = 2a + d



  1. Find the greatest possible length which can be used to measure 4m 3cm, 4m 34cm and 4m 65cm exactly.









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    Required measure = HCF of 403, 434 and 465

    Correct Option: A

    Required measure = HCF of 403, 434 and 465
    = 31 cm


  1. Which of the following fractions is the greatest of all ? 7/8, 6/7, 4/5, 5/6 ?









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    7 / 8 = 0.875,
    6 / 7 = 0.857,
    4 / 5 = 0.8 and 5/6 = 0.833
    Now, 0.875 > 0.857 > 0.833 > 0.8
    So, 7/8 is the greatest

    Correct Option: D

    7 / 8 = 0.875,
    6 / 7 = 0.857,
    4 / 5 = 0.8 and 5/6 = 0.833
    Now, 0.875 > 0.857 > 0.833 > 0.8
    So, 7/8 is the greatest



  1. L.C.M of 2/3, 4/9, 5/6 and 7/12 is ?









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    L.C.M = ( L.C.M . of 2, 4, 5, 7) / (H.C.F. of 3, 9, 6, 12)

    Correct Option: D

    L.C.M = ( L.C.M . of 2, 4, 5, 7) / (H.C.F. of 3, 9, 6, 12)
    = 140/3