Multiple Choice Questions on Let x and y be positive integers such that x gt y The expressions 3x 2y and 2x 3y when divided by 5 ........... for CDS Exam Preparation

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Multiple Choice Questions

Let x and y be positive integers such that x gt y The expressions 3x 2y and 2x 3y when divided by 5 ...........

Quantitative Aptitude (CDS) Algebra
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    Let x and y be positive integers such that x > y. The expressions 3x + 2y and 2x + 3y when divided by 5 leave remainders 2 and 3 respectively. What is the remainder when (x – y) is divided by 5?

    4

    Correct Answer

    2

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    1

    Incorrect Answer

    0

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    Explanation:

    3x+2y=5Q+2......(1)
    2x+3y=5q+3....(2)
    Subtracting (2) from (1), we have

    x−y=5(Q−q)−1=5(Q−q)−5+4=5(Q−q−1)+4

    Thus, the remainder when (x−y) is divided by 5 is 4.

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