Analytical Reasoning Question
No. 91
A camp counselor is organizing a game among nine adults. Three of the adults—I, L, and N— are females; the other six adults—Q, R, T, U, V, and W—are males. Two teams—group 1 and group 2—will be organized. Group 1 will have four adults; group 2 will have five adults. In assigning adults to teams, the counselor observes the following restrictions:
| Restriction 1 | Group 1 must have exactly two of the female adults. |
| Restriction 2 | R must be on the same group as U. |
| Restriction 3 | I and Q cannot be on either of the teams together. |
| Restriction 4 | T and V cannot be on either of the teams together. |
| Restriction 5 | If R is on the same group as V, then N must be on the group that does not include R and V. |
1. Which of the following is a possible assignment of adults to the two teams?
Group 1 | Group 2
(A) I, L, R, U | N, Q, T, V, W
(B) I, L, T, W | N, Q, R, U, V
(C) I, N, Q, T | L, R, U, V, W
(D) I, N, T, W | L, Q, R, U, V
(E) I, R, V, W | L, N, Q, T, U
2. If W and U are on group 2, the adults assigned to group 1 could be
(A) I, N, R, T (B) L, N, Q, R (C) L, N, Q, V (D) L, N, R, T (E) L, Q, T, V
3. If N and R are on group 2, which of the following is a pair of adults who must be on group 1?
(A) I and T (B) I and U (C) I and V (D) Q and V (E) T and W
4. If I, T, and W are on group 1, which of the following must be true?
(A) L is on group 2. (B) N is on group 2. (C) R is on group 1. (D) U is on group 1. (E) V is on group 1.
5. If L is on the same group as N, which of the following must be true?
(A) L is on the same group as Q. (B) T is on the same group as W. (C) V is on the same group as W. (D) I is not on the same group as T. (E) Q is not on the same group as V.
6. Each of the following is a pair of adults who can be on group 1 together EXCEPT
(A) I and T (B) L and N (C) N and V (D) Q and R (E) Q and T
Group 1 | Group 2
(A) I, L, R, U | N, Q, T, V, W
(B) I, L, T, W | N, Q, R, U, V
(C) I, N, Q, T | L, R, U, V, W
(D) I, N, T, W | L, Q, R, U, V
(E) I, R, V, W | L, N, Q, T, U
2. If W and U are on group 2, the adults assigned to group 1 could be
(A) I, N, R, T (B) L, N, Q, R (C) L, N, Q, V (D) L, N, R, T (E) L, Q, T, V
3. If N and R are on group 2, which of the following is a pair of adults who must be on group 1?
(A) I and T (B) I and U (C) I and V (D) Q and V (E) T and W
4. If I, T, and W are on group 1, which of the following must be true?
(A) L is on group 2. (B) N is on group 2. (C) R is on group 1. (D) U is on group 1. (E) V is on group 1.
5. If L is on the same group as N, which of the following must be true?
(A) L is on the same group as Q. (B) T is on the same group as W. (C) V is on the same group as W. (D) I is not on the same group as T. (E) Q is not on the same group as V.
6. Each of the following is a pair of adults who can be on group 1 together EXCEPT
(A) I and T (B) L and N (C) N and V (D) Q and R (E) Q and T
