AP ICET 2015 Paper

Question : 13 of 200

Marks: +1, -0

If x is a non-negative integer, is x even ?
I.

8^x

is an even integer.
II.

9^x

is an even integer.

if the statement I 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:

Given: x is a non-negative integer.
I. Given:

8^x

is an even integer.

8^1=8,8^2=64.

For both

x=1

and

x=2

. We get

8^x

as even.
∴ Ι alone is not sufficient
II. Given:

9^x

is an odd integer.

9^1=9,9^2=81

For both

x=1

and

x=2

,
we get

9^x

as odd.
∴ ΙΙ alone is not sufficient.
I&II. Both together do not give any additional information to decide whether x is even or not.

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