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HCF And LCM of Numbers Test-3

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HCF And LCM of Numbers Test-3
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  • Question 1
    1 / -0.25

     

    If the product of two numbers is 2496 and HCF is 8,then the ratio of HCF and LCM is

    Solution

     

    HCF = 8
    LCM = Product/HCF Product of the 2 number = 2496
    HCF:LCM = 8 : (2496/8) ⇒8 : 312 ⇒1: 39

  • Question 2
    1 / -0.25

     

    The greatest possible length which can be used to measure exactly the lengths 1m 92cm,3m 84cm ,23m 4cm

    Solution

     

    192 = 42 ×22 ×3
    384 = 42 ×22 ×6
    2304 = 42 ×2 ×62
    HCF = 42 ×2 = 16 ×2 = 32

  • Question 3
    1 / -0.25

     

    HCF of 4/3, 8/6, 36/63 and 20/42

    Solution

     

    HCF of numerator(4,8,36,20) = 4
    LCM of denominator(3,6,63,42) = 126

  • Question 4
    1 / -0.25

     

    Find the LCM of 3/8, 9/32, 33/48, 18/72

    Solution

     

    LCM of numerator(3,9,33,18) = 198
    HCF of denominator(8,32,48,72) = 8

  • Question 5
    1 / -0.25

     

    The HCF of 2511 and 3402 is

    Solution

     

    2511 = 81 ×31
    3402 = 81 ×42
    Hence HCF is 81

  • Question 6
    1 / -0.25

     

    A gardener had a number of shrubs to plant in rows. At first he tried to plant 8,then 12 and then 16 in a row but he had always 3 shrubs left with him. On trying 7 he had none left. Find the total number of shrubs.

    Solution

     

  • Question 7
    1 / -0.25

     

    If m and n are two whole numbers and if mn   = 49. Find n^m, given that n ≠1

    Solution

     

    49 = 72 = mn
    nm = 27 = 128

  • Question 8
    1 / -0.25

    What will be the least number which when doubled will be exactly divisible by 12,18,21 and 30?

    Solution

     

    LCM of 12,18,21 and 30 = 1260
    Doubled (divide by 2) = 1260/2 = 630

  • Question 9
    1 / -0.25

     

    HCF and LCM of two numbers are 11 and 385 .If one number lies between 75 and 125 then that number is

    Solution

     

    Product of the two number = 11a ×11b = 4235
    11a ×11ab = 4235/121 = 35
    35 = 7 ×5 (co prime)
    77 ×11 = 77

  • Question 10
    1 / -0.25

    If the L.C.M of x and y is z, their H.C.F is

    Solution

     

    HCF = Product of the 2 number/LCM = XY/Z

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