P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q?
Solution
Correct Answer: Option C
Given,
P and Q are two positive integers and PQ = 64
64 = 1 × 64
= 2 × 32
= 4 × 16
= 8 × 8
The possible combinations of (P, Q)
So that, the product is 64 are (1, 64), (2, 32), (4, 16) and (8, 8)
∴ P + Q cannot be 35.
P and Q are two positive integers and PQ = 64
64 = 1 × 64
= 2 × 32
= 4 × 16
= 8 × 8
The possible combinations of (P, Q)
So that, the product is 64 are (1, 64), (2, 32), (4, 16) and (8, 8)
∴ P + Q cannot be 35.
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