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CDS - LCM Test 1204
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CDS - LCM Test 1204
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  • Question 1/5
    1 / -0.33
    Ratio of two numbers A and B is 5:2. If their LCM is 180, what is the difference of numbers.
    Solutions
    Let the numbers are and . Then,




    Difference of numbers
  • Question 2/5
    1 / -0.33
    The product of two numbers is 6912 and their GCD is 24. What is their LCM?
    Solutions
    LCM x GCD = Product of 2 numbers
    LCM x 24 = 6912
    LCM = 288
    The correct option is C.
  • Question 3/5
    1 / -0.33
    The LCM of two numbers is 90 times their HCF. The sum of LCM and HCF is 1456. If one of the numbers is 160 then what is the other number?
    Solutions
    Let LCM be x and HCF be y
    According to question,
    x=90y and x+y=1456
    Thus
    90y+y = 1456
    91y = 146
    y= 16
    and x=1440

    According to theorem:
    HCF × LCM = product of two umbers
    16 × 1440 = 160 × another number
    Other number = 144
  • Question 4/5
    1 / -0.33
    If x X y denotes H.C.F. of x and y and x @ y denotes LCM of x and y, then the value of (222 X185 ) @ 481 is:
    Solutions
    x X y denotes H.C.F. of x and y

    ⇒ 222 X 185 denotes H.C.F. of 222 and 185

    222 =

    185 =

    H.C.F. of 222 and 185 = 37

    x @ y denotes LCM of x and y

    37 @ 481 denotes LCM of 37 and 481

    ⇒

    ⇒

    Hence, LCM of 37 and 481 = 481

    So, answer will be 481.

  • Question 5/5
    1 / -0.33
    The LCM of two multiples of 13 is 1716. If one of the number is 156, the other number is:
    Solutions

    Clearly, HCF of two numbers is 13.

    And, LCM = 1716

    As we know, First number × Second number = LCM × HCF

    ⇒ 156 × Second number = 1716 × 13

    ⇒ Second number = 143

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