Question

Study the following information carefully and answer the questions given below it:
From amongst six boys A, B, C, D, E, and F and five girls P, Q, R, S, and T, a team of six is to be selected under the following conditions:
1. A and D have to be together.
2. C cannot go with S.
3. S and T have to be together.
4. B cannot be teamed with E.
5. D cannot go with P.
6. B and R have to be together.
7. C and Q have to be together
If four members have to be girls, the members of the team are:

• A. BCPQRS
• B. BFPRST
• C. BCQRST
• D. BCPQRT

Answer 1

The correct option is B BFPRST

Four members have to be girls provided S and T are always together, the possibilities are: PQST, PRST, QRST. Now, when S is included C must be excluded, which means that Q should also be excluded. Hence the first and the last possibilities are eliminated. The only remaining possibility is PRST. With R, B must be present. Now, we have to add one more boy. We can’t add E because B is there; we can’t add C because S is there; we can’t add A or D because they won’t go without each other; hence we have to add F. The team would be: BFPRST