Analytical Reasoning Question No. 99
In a certain emergency rescue service, seven workers— F, G, H, I, J, K, and L—are assigned to accompany three mobile trauma vans during a single 12-hour shift. Each worker must be assigned to just one of the vans according to the following rules:
1. At least two workers must be assigned to van 1.
2. At least three workers, one of whom must be J, must be assigned to van 3.
3. If F is assigned to van 1, I must also be assigned to van 1.
4. G must be assigned to van 2.
5. L cannot be assigned to van 3.
1. Which of the following is a possible assignment of the seven workers to the three vans?
2. If I is assigned to van 2, which of the following must be true?
(A) F is assigned to van 1.
(B) K is assigned to van 3.
(C) H is assigned to van 1.
(D) H is assigned to van 3.
(E) L is assigned to van 1.
3. If F and L are assigned to van 1, all of the following must be true EXCEPT:
(A) H is assigned to van 2.
(B) K is assigned to van 3.
(C) Exactly one worker is assigned to van 2.
(D) Exactly three workers are assigned to van 1.
(E) Exactly three workers are assigned to van 3.
4. If I and L are the only workers assigned to van 1, which of the following is the largest group of workers that could possibly be assigned to van 3?
(A) G, H
(B) H, K
(C) F, J, K
(D) F, H, J, K
(E) G, H, J, K
5. If exactly three workers are assigned to van 1, which of the following must be true?
(A) F is assigned to van 3.
(B) I is assigned to van 1.
(C) K is assigned to van 1.
(D) F is assigned to the same van as I.
(E) G alone is assigned to van 2.
6. If I is the only worker not yet assigned, and if, at this point, I could be assigned to any one of the three vans, which of the following must be true?
(A) F is assigned to van 1.
(B) H is assigned to van 1.
(C) H is assigned to van 3.
(D) K is assigned to van 3.
(E) L is assigned to van 1.
1. At least two workers must be assigned to van 1.
2. At least three workers, one of whom must be J, must be assigned to van 3.
3. If F is assigned to van 1, I must also be assigned to van 1.
4. G must be assigned to van 2.
5. L cannot be assigned to van 3.
1. Which of the following is a possible assignment of the seven workers to the three vans?
| Option | Van 1 | Van 2 | Van 3 |
|---|---|---|---|
| (A) | F | G, H, I | J, K, L |
| (B) | F, I | G, J | H, K, L |
| (C) | F, G | I, L | H, J, K |
| (D) | I, L | G, F | H, J, K |
| (E) | I, G | H, L | F, J, K |
2. If I is assigned to van 2, which of the following must be true?
(A) F is assigned to van 1.
(B) K is assigned to van 3.
(C) H is assigned to van 1.
(D) H is assigned to van 3.
(E) L is assigned to van 1.
3. If F and L are assigned to van 1, all of the following must be true EXCEPT:
(A) H is assigned to van 2.
(B) K is assigned to van 3.
(C) Exactly one worker is assigned to van 2.
(D) Exactly three workers are assigned to van 1.
(E) Exactly three workers are assigned to van 3.
4. If I and L are the only workers assigned to van 1, which of the following is the largest group of workers that could possibly be assigned to van 3?
(A) G, H
(B) H, K
(C) F, J, K
(D) F, H, J, K
(E) G, H, J, K
5. If exactly three workers are assigned to van 1, which of the following must be true?
(A) F is assigned to van 3.
(B) I is assigned to van 1.
(C) K is assigned to van 1.
(D) F is assigned to the same van as I.
(E) G alone is assigned to van 2.
6. If I is the only worker not yet assigned, and if, at this point, I could be assigned to any one of the three vans, which of the following must be true?
(A) F is assigned to van 1.
(B) H is assigned to van 1.
(C) H is assigned to van 3.
(D) K is assigned to van 3.
(E) L is assigned to van 1.
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