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

Correct Option (3)

Statements S1 and S2 together are sufficient to answer the question. From S1, it is established that R is greater than both P and Q (R > P and R > Q). From S2, it is stated that S is not the largest number among the four. Combining these, if S is not the largest, then the largest number must be one of P, Q, or R. Since R is greater than both P and Q, R is definitively the largest among P, Q, and R. Therefore, R is the largest among P, Q, R, and S.

Incorrect Options:

S1 alone is not sufficient because while it establishes R > P and R > Q, it provides no information about the relationship between R and S. Thus, the largest number could be R or S.

S2 alone is not sufficient because it only states that S is not the largest. This leaves P, Q, or R as potential largest numbers, without providing any means to determine which one among them is the largest.

The combination of S1 and S2 is sufficient, as explained above. Therefore, the option stating that S1 and S2 together are not sufficient is incorrect.