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 including E have to be boys, the members other than E are:

• A. ABCQR
• B. ADFST
• C. BCFQR
• D. ACDFQ

Answer 1

The correct option is B ADFST

Inclusion of E = exclusion of R. Four boys = there should be two girls. How can we select two girls out of P, Q, S and T if S and T have always to be together? The only two possible ways are: P, Q and S, T. If we select P we can’t select D, and hence we can’t select A either. This means the exclusion of A and D in addition to that of B. Since this is not possible, in order to; have four boys, we must not select P. Hence we select S, T. Now selecting S means excluding C. Hence B and C are excluded. The team would be: ADEFST