A Question is given followed by two Statements I and II. Consider the Question and the Statements. P, Q, R and S appeared in a test. Question: Has P scored more marks than Q? 1. Statement-I : The sum of the marks scored by P and Q is equal to the sum of the marks scored by R and S. 2. Statement-II : The sum of the marks scored by P and S is more than the sum of the marks scored by Q and R. Which one of the following is correct in respect of the above Question and the Statements?

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

Correct Answer: Option D

Explanation

We need to determine if $P > Q$ is definitely true or definitely false. **Step 1: Simplify the Statements Algebraically [40][43]** Let's treat the statements as mathematical expressions: Statement I: $P + Q = R + S$ (Eq. 1) Statement II: $P + S > Q +

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