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Quantitative Aptitude: Practice questions on HCF AND LCM

Oct 14, 2015 18:00 IST

    Quantitative Aptitude Practice questions on HCF and LCM: This practice set has 7 questions with their answers & Explanatory answer covering topics from the areas of Quantitative Aptitude.

    1. How many pairs of integers (x, y) exist such that the product of x, y and HCF (x, y) = 1080?
    A. 8
    B. 7
    C. 9
    D. 12

    2. Find the smallest number that leaves a remainder of 4 on division by 5, 5 on division by 6, 6 on division by 7, 7 on division by 8 and 8 on division by 9?
    A. 2519
    B. 5039
    C. 1079
    D. 979

    3. There are three numbers a,b, c such that HCF (a, b) = l, HCF (b, c) = m and HCF (c, a) = n. HCF (l, m) = HCF (l, n) = HCF (n, m) = 1. Find LCM of a, b, c. (The answer can be "This cannot be determined").

    4. How many pairs of positive integers x, y exist such that HCF of x, y = 35 and sum of x and y = 1085?
    A. 12
    B. 8
    C. 15
    D. 30

    5. How many pairs of positive integers x, y exist such that HCF (x, y) + LCM (x, y) = 91?
    A. 10
    B. 8
    C. 6
    D. 7

    6. Sum of two numbers x, y = 1050. What is the maximum value of the HCF between x and y?
    A. 350
    B. 700
    C. 1050
    D. 525

    7. The sum of two non co–prime numbers added to their HCF gives us 91. How many such pairs are possible?
    A. 2
    B. 4
    C. 3
    D. 6

    Answer Key –

    1. C
    2. A
    3. Cannot be Determined
    4. C
    5. B
    6. D
    7. C

    Solution Link - http://iim-cat-questions-answers.2iim.com/quant/number-system/hcf-lcm/

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