QUESTION

CSAT

Easy

Maths

Prelims 2023

Questions: Is p greater than q?

Statement-1: p×qp \times q is greater than zero. Statement-2: p2p^2 is greater than q2q^2.

Which one of the following is correct in respect of the above Question and the Statements?

Select an option to attempt

Explanation

Statement 1: (p×q)>0(p \times q) > 0 It means neither p nor q can be 0, and both of them must be positive, or both negative. Say, 2×32 \times 3, or (2)×(3)(-2) \times (-3)

So, by using statement1 is alone we cannot determine whether p>qp > q.

So, Statement 1 alone is not sufficient.

Statement 2: p2>q2p^2 > q^2 But we do not know whether p and q are positive or negative. Say, 32>223^2 > 2^2, or (3)2>(2)2(-3)^2 > (-2)^2

So, we cannot determine whether p>qp > q.

So, Statement 2 alone is not sufficient.

Even by using both the statements together, we cannot determine whether p>qp > q.

Hence, option (D) is correct.

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