Two Statements S1 and S2 are given below with regard to four numbers P, Q, R and S followed by a Question:

S1: R is greater than P as well as Q.

S2: S is not the largest one.

Question: Among four numbers P, Q, R and S, which one is the largest?

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

The correct option is S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.

Step-by-Step Explanation:

We are given four numbers: P, Q, R, and S, and we need to determine which one is the largest.

1. Evaluating Statement 1 (S1):

S1 states: "R is greater than P as well as Q."

This tells us that R > P and R > Q. Therefore, R is larger than both P and Q.

However, S1 gives no information about how S compares to R (whether S > R or R > S). Thus, either R or S could be the largest number.

Hence, S1 alone is NOT sufficient to answer the question.

2. Evaluating Statement 2 (S2):

S2 states: "S is not the largest one."

This simply eliminates S from being the largest number among P, Q, R, and S.

However, it gives no information about which among P, Q, or R is the largest.

Hence, S2 alone is NOT sufficient to answer the question.

3. Combining Statements S1 and S2:

From S1, we know that R is strictly greater than both P and Q, so neither P nor Q can be the largest number. This leaves only R or S as candidates for the largest number.

From S2, we know that S is not the largest number.

By combining both statements, since P, Q, and S are all ruled out from being the largest, R must be the largest number.

Conclusion:

Neither statement alone is sufficient, but both statements together are sufficient to answer the question.