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, including P, the team has three girls, the members other than P are:

• A. BCFQR
• B. ADEST
• C. ADBST
• D. BFRST

Answer 1

The correct option is A BCFQR

There are three girls including P. P is there, so D must not be there. If D is not there, A would not be there. So two boys A and D are eliminated. Since the team should have only six members, hence there should be three boys. Two boys A and D are eliminated. Hence the possibilities of selecting three boys are: BCE, BCF, BEF, CEF. But B and E can’t be together. Hence the remaining possibilities are BCF, CEF. Now, B must be with R while C must be with Q. Hence, we have BRCQF and CQEF. Hence, including P, the two possibilities are PBRCQF and PCQEF. To the second possibility we need to add a girl. We can’t add R since R can’t go without B. We can’t add T since T can’t go without S. Conversely, we can’t add S either. Hence this possibility is also eliminated. Hence, the only possible choice is PBRCQF