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CAT 2001 — QA Question 52

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 is the value of X?

  1. X and Y are unequal even integers, less than 10, and X/Y is an odd integer.
  2. X and Y are even integers, each less than 10, and product of X and Y is 12.

Answer & solution

Correct answer: 1

  • 1

  • B

    2

  • C

    3

  • D

    4

Solution

Using statement A alone:

∵ Both have to be even numbers, the only possibility is X = 6 and Y = 2

∴ Statement A alone is sufficient to answer the question.

Using statement B alone:

12 = 1 × 12 = 2 × 6 = 3 × 4

∵ Both are even integers and less than 10, the possible set of values of X and Y are (2, 6) and (6, 2).

∴ X is either 2 or 6.

∴ No unique solution can be found using statement B alone.

Hence, option (a).

Note: Negative integers are not considered as Even or Odd.

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CAT 2001 QA Q52: Choose 1 ; if the question can be answered by using one of the statements alone, but cannot be answered using — Solution | TheCATExam