type 2 selection grouping & team formation on condition puzzles Practice Questions Answers Test with Solutions & More Shortcuts

Answer: (a)

Since two accounts assistants have to be taken and A and C cannot be teamed together,

so B has to be selected along with either A or C.

Answer: (a)

As discussed in Q. 35, the two accounts assistants taken must be (A, B) or (B, C). If D is selected along with (A, B), then neither F nor G can be selected. So, E and H must be selected and the team becomes A, B, D, E, H.

If D is not selected and E is selected along with (A, B), then the remaining two accounts officers selected may be (F, G) or (G, H) or (F, H).

Thus, the possible teams are A, B, E, F, G; A, B, E, G, H and A, B, E, F, H. If neither D or E is selected, then F, G and H may be selected along with (A, B) and the team becomes A, B, F, G, H. If (B, C) is selected, then E cannot be selected.

So, three accounts officers have to be selected from amongst D, F, G and H. But, if D is selected, neither F nor G can be selected. So, D cannot be selected and F, G, H must be selected.

Thus, the team becomes B, C, F, G, H. Thus, the total number of possible teams is 6 - (A, B, D, E, H); (A, B, E, F, G); (A, B, E, G, H); (A, B, E, F, H); (A, B, F, G, H); (B, C, F, G, H).

Answer: (d)

If D is selected, neither F nor G can be selected. So, the other two accounts officers selected must be E and H.

If E is selected, then C must noy be selected. So, the two accounts assistants selected must be A and B.

Answer: (b)

From (iv), if L is a representative, R cannot be a representative. If L and N are the two representatives from faculty members, P cannot be a representative from students because if P is a representative, M must also be a representative.

Hence, if L, N and Q are representatives, R must be the second member from students in the committee.

Answer: (a)

If P is a representative, M must also be a representative.

Hence, N cannot be the second member from faculty as either K or L must be one of the representatives.