If ‘a’ is an integer, what is the value of a ? I. a²=9 II. a²+a=6

Correct Answer is : if both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

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.

Correct Answer is : if both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

Test Index

AP ICET 2015 Paper

Question : 6 of 200

Marks: +1, -0

a^{2}=9

a^{2}+a=6

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: ‘a’ is an integer.

I. Given:

a^2=9

\Rightarrow a=\pm 3

It does not give a unique value

∴ I alone is not sufficient

II. Given:

a^2+a=6

a^2+a-6=0

(a+3(a-2)=0

a=-3

or 2.

It does not give a unique solution.

∴ II alone in not sufficient.

I & II Only ‘a’ = –3 can satisfy both the statements

∴ I & II together are sufficient.

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