DIRECTIONS for questions 1-4: Read the information given below and answer the question that follows.
The president of a college is appointing nine students- J ,K ,L ,M ,N ,O ,P ,Q and R- to serve on three committees to study three different aspects of student life at the college. There will be a Housing Committee, a Food Service Committee, and a Traffic Committee. Her appointments must respect the following: Each committee must have exactly three members. No person can serve on more than one committee. Q must serve on the Traffic Committee. L and M must serve on the same committee. J and K cannot serve on the same committee. N cannot serve on the same committee as R. O must serve on the same committee as K or Q or both K and Q.
Which of the following groups could constitute the Housing Committee?
J, K, N
J, M, P
L, Q, N
O, R, K
Answer: Option D. 1, 2, 3 options are rejected because LM & JK can never be in the same committee. Option D satisfies the above condition.
If R is on the Traffic Committee and K is on the Food Service Committee, then which of the following must be true?
O is on the Traffic Committee.
L is on the Housing Committee
P is on the Food Service Committee
None of these
Answer: Option D. Housing (J, K, M) OR (J, P, N) Food (K, N, P) OR (K, L, M) Traffic (Q, R, O) OR (Q, R, O) So answer is none of these.
Any of the following could serve on the same committee as L EXCEPT
Answer: Option C. L is there, M will also be there. If D is the third person either K or Q has to come. There cannot be 4 members in a committee. So answer is C.
If K and P serve on the Housing Committee, which of the following must serve on the Food Service Committee?
Answer: Option B. If LM are in traffic committee with Q, KPO in Housing committee, Then in food committee, N and R cannot be together. So LM has to be in food committee. Hence B option.
If O serves on the Food Service Committee and L serves on the same committee as Q then which of the following must serve on the Housing Committee?
I and II only
II and III
Answer: Option C. Housing (P, J, N/R) Food (O, K, N/R) Traffic (Q, L, M) Thus, P and J has to be in Housing committee. Therefore, C option.