Questions: Is p greater than q?
Statement-1: p × q is greater than zero.
Statement-2: p^2 is greater than q^2.
Statement-1: p × q is greater than zero.
Statement-2: p^2 is greater than q^2.
- A. The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
- B. The Question can be answered by using either Statement alone.
- C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
- D. The Question cannot be answered even by using both the Statements together.
Answer: D
Explanation
The question asks if p > q.
Statement 1: p × q > 0. This implies p and q have the same sign (both positive or both negative). If p=3, q=2, then p>q. If p=-2, q=-3, then p>q. But if p=2, q=3, then p<q. If p=-3, q=-2, then p q^2. This implies |p| > |q|. If p=3, q=2, then p>q. If p=-3, q=2, then p
q. If p=-3, q=-2, then p
|q|. If p and q are both positive, then p > q (e.g., p=3, q=2). If p and q are both negative, then p
q. Therefore, the question cannot be answered even by using both statements together.