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Problem Solving (PS) | Re: For positive integers a and b, the remainder when a is divided by b is

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Solution



Given:
    •a and b are positive integers.
    •Remainder when a is divided by b = Remainder when b is divided by a

To find:
    •The possible value of ab.

Approach and Working
The only case when the remainder of the division of a by b and b by a is equal when a=b.
Hence, ab =a^2
    •So, ab can only be a perfect square.
    •And, among the given option only 36 is a perfect square.

Hence, the correct answer is B.
Correct answer: Option B
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