Question

What are the values of m and n?
I. n is an even integer, m is an odd integer, and m is greater than n.
II. Product of m and n is 30.

• A. The question can be answered by one of the statements alone and not by the other.
• B. The question can be answered by using either statement alone.
• C. The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. The question cannot be answered even by using both statements together.

Hint:

When two statements give constraints, check if their intersection yields a unique solution.

Answer 1

The Correct Option is C

Statement I gives conditions (n even, m odd, m>n), but not enough to determine exact values. Statement II gives product m × n = 30, but many possibilities exist. Combining both restricts possibilities to specific integer pair satisfying all conditions, hence answerable.