$$n^3$$ 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.

Solution

if $$n^3$$ is odd then $$n$$ will be odd. let's say it is $$2k+1$$
then $$n^2$$ will be = $$(4k^2 + 4k + 1)$$ which will be odd
Hence answer will be C.

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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.

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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.