CAT 1997QA Question 16

FactorsEasy

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

Answer & solution

Correct answer: 35

  • A

    20

  • B

    65

  • C

    16

  • 35

Solution

If we were to express 64 as product of two positive integers, we can get the following combinations: (64 × 1), (32 × 2), (16 × 4), (8 × 8).
Thus, we find that P + Q cannot be 35.

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CAT 1997 QA Q16: P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q? — Solution | TheCATExam