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CAT 2001 — QA Question 50

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 values of m and n?

  1. n is an even integer, m is an odd integer, and m is greater than n.
  2. Product of m and n is 30.

Answer & solution

Correct answer: 3

  • A

    1

  • B

    2

  • 3

  • D

    4

Solution

Statement A doesn’t provide any specific values of m and n.

∴ Statement A alone is not sufficient to answer the question.

Using statement B alone:

m × n = 30 = 1 × 30 = 2 × 15 = 3 × 10 = 5 × 6

We cannot say what the values of m and n are.

∴ Statement B alone is also not sufficient to answer the question.

If we combine both the statements A and B together, then we have only one possibility m = 15 and n = 2

∴ We have answered the question using both the statements A and B together.

Hence, option (c).

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

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CAT 2001 QA Q50: Choose 1 ; if the question can be answered by using one of the statements alone, but cannot be answered using — Solution | TheCATExam