Question

Nine individuals - Z, Y, X, W, V, U, T, S and R - are the only

candidates, who can serve on three committees-- A, B and C,

and each candidate should serve on exactly one of the

committees.

committee: A should consist of exactly one member more than

committee B. It is possible that there are no members of

committee C.


Among Z, Y and X none can serve on committee A.

Among W, V and U none can serve on committee G.

Among T, S and R none can serve on committee C.

In case T and Z are the individuals serving on committee B,

how many of the nine individuals should serve on committee C?

A.3 B.4 C.5 D.6 E.7

Answer: B

2. Of the nine individuals, the largest number that can serve

together on committee C is

A.9 B.8 C.7 D.6 E.5

Answer: D

3. In case R is the only individual serving on committee B,

which among the following should serve on committee A?

A.V and U B.V and T C.U a

Answer 1

S and T should serve on committee A.

According to question, A should consist of exactly one member more than B.
-It means exactly 2 individuals should serve A.

Also, according to question, among Z, Y and X none can serve on committee A.
-It means out of S, T, U, V and W only 2 individuals should serve committee A.

Now, according to the question, among R, S and T none can serve committee C and each candidate should serve on exactly one of the committees.
-it means U, V and W only can serve committee C.

Now, S and T remains who will serve committee A