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CAT 2000 — QA Question 64

Number TheoryEasy

Choose 1; if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
Choose 2; if the question can be answered by using either statement alone.
Choose 3; if the question can be answered by using both statements together, but cannot be answered using either statement alone.
Choose 4; if the question cannot be answered even by using both statements together.

What are the ages of two individuals, X and Y?

  1. The age difference between them is 6 years.
  2. The product of their ages is divisible by 6.

Answer & solution

Correct answer: 4

  • A

    1

  • B

    2

  • C

    3

  • 4

Solution

From statement A

X – Y = 6

From statement B

XY is divisible by 6.

∵ There are many possible values for example (12, 6), (18, 12), (24, 18) ...

∴ The question cannot be answered even by combining both the statements.

Hence, option (d).

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CAT 2000 QA Q64: Choose 1 ; if the question can be answered by using one of the statements alone, but cannot be answered using — Solution | TheCATExam