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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

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?

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Explanation:

According to question.
⇒ 3x + 2y = 5k1 + 2 ---------- (i)
⇒ 2x + 3y = 5k2 + 3 ---------- (ii)
Eqn (i)-eqn (ii)
⇒ x – 4 = 5(k1 – k2) – 1
So when (x – 4) is divided by 5 remainder will be
5 + (–1) = 4
So, option (a) is correct

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