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Dividend, Divisor, Quotient, Remainder

24P leaves a ...

Question

24P leaves a remainder 1 if it is divided by 3 and leaves a remainder 2 if it is divided by 5. Find the value of P.

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Solution

If 24P is divided by 5 and leaves a remainder of 2, then P is either 2 or 7.

If P = 2, the given number when divided by 3 leaves a remainder of 2. If P = 7, the given number when divided by 3 leaves a remainder of 1.

Hence, P = 7

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