Multiple Choice Questions on If x and y are two digit prime numbers such that y is obtained from x by interchanging its digits an........... for CAPF (AC) Exam Preparation

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Multiple Choice Questions

If x and y are two digit prime numbers such that y is obtained from x by interchanging its digits an...........

Quantitative Aptitude( Paper-I ) Number System
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    If x and y are two-digit prime numbers such that y is obtained from x by interchanging its digits and x - y = 36, then what is the value of xy?

    This questions was previously asked in
    CAPF 2023 Paper-1
    View All CAPF Previous Year Papers

    1611

    Incorrect Answer

    2701

    Correct Answer

    4031

    Incorrect Answer

    5603

    Incorrect Answer
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    Explanation:

    2701.

    • X=10a+b
    • Y=10b+a
    • X-Y=9a-9b=36
    • a-b=4 therefore (9,5),(8,4),(7,3),(6,2),(5,1),(4,0)
    • if either a or b are even then X or Y is divisible by 2
    • if a or b is a 5 then X or Y is divisible by 5
    • we are left with (7,3) and X=73, Y=37
    • XY=2701

    By: Parvesh Mehta
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