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Question
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
Options:
A .  I only
B .  II only
C .  I and II only
D .  I and III only
Answer: Option C
Answer: (c)
If n3 is odd
⇒ n is odd and n2 is odd
For example
$n^3$ = 27. Then n = 3 & $n^2$ = 9
∴ I and II are true.

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