AP ICET 2015 Paper

Question : 7 of 200

Marks: +1, -0

If a and b are real numbers, is

a^2 > b^2

?
I.

a > b

II.

a > 0

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 and b are real numbers.
I. Given: a > b
we can have

4 > 3 = 4^2 > 3^2

and also

–3 > –4 = (–3)^2 < (–4)^2

∴ I alone in not sufficient
II. Given: a > 0
It says nothing above ‘b’
∴ II alone is not sufficient
I & II Even two together are not sufficient.
e.g.

4 > 2 = 4^2 > 2^2

4 > –5 = 4^2 < (–5)^2

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