Properties of Numbers - Parity of Exponents

CAT 1998 Slot 1 · Quantitative Ability · Easy · Number System

This is an easy Quantitative Ability question from the CAT 1998 Slot 1 paper. It tests Number System. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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$n^3$ is odd. Which of the following statement(s) is(are) true?

I. $n$ is odd. II. $n^2$ is odd. III. $n^2$ is even.

A.
I only
B.
II only
C.
I and II
D.
I and III

Answer

Explanation

If $n^3$ is odd, then $n$ must be an odd integer. Since $n$ is odd, $n^2$ is also odd. Thus, both statements I and II are true.

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Properties of Numbers - Parity of Exponents

Explanation

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