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1. P and Q are two positive integers such that PQ = 64 Which of the following cannot be the value of P +Q?
- A. 16
- B. 16
- C. 16
- D. 16
Answer: Option C
Explanation:
To determine which of the following values cannot be the sum of P and Q,
we need to consider the possible factor pairs of 64. The factor pairs of 64 are:
= 1 * 64
= 2 * 32
= 4 * 16
= 8 * 8
For each factor pair, we can find the sum of P and Q:
P + Q = 1 + 64 = 65
P + Q = 2 + 32 = 34
P + Q = 4 + 16 = 20
P + Q = 8 + 8 = 16
So, the values of P + Q can be 65, 34, 20, and 16. Among the given options, the value that cannot be the sum of P and Q is 35.
Therefore, the answer is 35.
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