Six hot sauces – C D E F G and H – will be arranged from hottest to mildest in a straight line and numbered consecutively 1 (hottest) through 6 (mildest). The hot sauces are assigned one sauce per position, according to the following conditions:

1. F and G must be assigned to positions that are separated from each other by exactly one position

2. F and D cannot be assigned to positions that are next to each other

3. D is milder than E

4. C is placed in position 5

5. Which one of the following could be true?

A. If G is in position 3, E is in position 1

B. If F is in position 1, G is in position 4

C. If G is in position 6, E is in position 3

D. If F is in position 2, H is in position 1

E. If F is in position 3, D is in position 2

Answer

CORRECT ANSWER: (D) – If F is in position 2, H is in position 1

EXPLANATION: Answer choice (A) is incorrect because if G is in 3, F has to be in 1, per rule # 1 and 4. Answer choice (B) is incorrect because if F is in 1 G has to be in 3 per rule #1. Answer choice (C) is incorrect because If G is in 6, F is in 4, which means that E cannot be in 3, because D is milder than E (goes after E), and there would be nowhere to put D, since 5 is taken up by C per rule #4. Answer choice (E) is incorrect because if F is in 3, D cannot be next to in in 2, per rule #2.

EXPLANATION: Answer choice (A) is incorrect because if G is in 3, F has to be in 1, per rule # 1 and 4. Answer choice (B) is incorrect because if F is in 1 G has to be in 3 per rule #1. Answer choice (C) is incorrect because If G is in 6, F is in 4, which means that E cannot be in 3, because D is milder than E (goes after E), and there would be nowhere to put D, since 5 is taken up by C per rule #4. Answer choice (E) is incorrect because if F is in 3, D cannot be next to in in 2, per rule #2.