Two Statements S1 and S2 are given below with regard to four numbers P, Q, R and S followed by a Question:…
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?
S1 alone is sufficient to answer the Question.
S2 alone is sufficient to answer the Question.
S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
S1 and S2 together are not sufficient to answer the Question.
Solution
S1 alone: R > P and R > Q, but S could be larger than R, so not sufficient. S2 alone: S is not the largest, but the largest could be P, Q or R, so not sufficient. Together: R > P, R > Q, and S is not the largest; since R already exceeds P and Q and S is not largest, R must be the largest. Both together are sufficient but neither alone.