P and Q are two integers such that PQ = 64. Which of the following cannot be the value of P+Q? (CAT 1997)

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Solution

The correct option is D 35
P $\times$ Q = 64 = 1 $\times$ 64 = 2 $\times$ 32 = 4 $\times$ 16 = 8 $\times$ 8.

Corresponding values of P + Q are 65, 34, 20, 16.

Therefore, P + Q cannot be equal to 35.

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