AP ICET 2016 Paper

Question : 3 of 200

Marks: +1, -0

Is the non-negative integer n odd?
I.

(36)^n

is odd.
II.

(63)^n

is odd.

if the statement 1 alone is sufficient to answer the question.
if the statement II alone is sufficient to answer the question.
if both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.
if both the statements I and II together are not sufficient to answer the question and additional data is required.

Solution:

‘n’ is a non-negative integer.
I. Given :

(36)^n

is odd.
For n > 0,

(36)^n

is always even as 36 is even.
For

n=0,(36)^n=(36)^0=1

which is odd.

⇒n=0

which is not odd.
∴ I alone is sufficient.

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