Question

A group of seven students A, B, C, D, E, F and G are going to form two teams. Each team can have a maximum of four members. A and B cannot be in the same team. C cannot be with E. D and G have to be together. F and D cannot be together. E and D have to be together. A has to be with F. Which of the following is one of the two teams formed according to the given data?
1. FAD
2. GBFD
3. GDC
4. EDGB

Answer 1

Correct Answer - Option 4 : EDGB

1) D and G have to be together.

2) E and D have to be together.

Implies, E, D, and G are in the same team.

3) C cannot be with E.

Implies, C is not in the same team as E, D, and G.

4) F and D cannot be together.

Implies, F is not in the same team as E, D, and G

Team 1 - E, D, and G

Team 2 - C and F

5) A and B cannot be in the same team.

Implies, either A or B is in team 1.

Possibilities for team 1: AEDG or BEDG.

6) A has to be with F.

Therefore, AEDG can be eliminated.

Hence, EDGB can be formed using the given data.