ABC26GN0080 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:

For the integer $n$, if $n^{3}$ is odd, then which of the following statements 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 only

(d)I and III only

Answer

Answer (as printed): C

Explanation

$n^{3}$ is odd $\Rightarrow n$ is odd and $n^{2}$ is odd. ∴ I and II are true.

Explanation as extracted from the printed page; notation may be imperfect.