A group of five killer bees : A, B, C D and E - is consolidating. In the period of consolidation, matings will occur between bees until exactly two killer bees remain. When a mating occurs, one bee survives, while the other dies. Matings will conform to the following conditions:

Each mating occurs between exactly two killer bees.
A will mate exactly once, with either C or D, and will die in the process.
B will mate with D, and will not die as the result of any mating.
E will not mate with D if B is still available for a mating.

1. Which of the followingis an accurate list of the killer bees that could remain after the period of consolidation?

(A) A and B
(B) A and E
(C) B and C
(D) C and D
(E) D and E

2. If the first mating is between B and C, which of the following could be the second mating?

(A) A and B
(B) B and E
(C) C and D
(D) D and E
(E) E and A


3. If D mates with C and the surviving bee next mates with B, which of the following must be involved in the first mating?

(A) A
(B) B
(C) C
(D) D
(E) E

4. If B mates twice and C mates twice, all of the following could be true EXCEPT

(A) A mates with C in the first mating
(B) B mates with C in the first mating
(C) B mates with E in the first mating
(D) B mates with E in the second mating
(E) E mating with C in the second mating

5. If one bee mates three times and dies during the third mating, which of the following must be true?

(A) C cannot remain after the period of consolidation
(B) D cannot remain after the period of consolidation
(C) E cannot remain after the period of consolidation
(D) A must mate three times
(E) B must mate three times

1-(C) B and C
2-(B) B and E
3-(E) E
4-(B) B mates with C in the first mating
5-(B) D cannot remain after the period of consolidation

very good :)
rethink about 3 and 5.

3-(A) A
5-(A) C cannot remain after the period of consolidation

1. This is a question about acceptable arrangements, which we solve by eliminating choices. Applying Rules 2 and 3, we quickly eliminate Choices A and B, as killer bee A doesn't survive. Rule 3 eliminates Choices D and E, because killer bee B must be left at the end. The correct answer is C.


2. If B and C merge first, then B survives. That leaves A, B, D, and E for the second mating. We can eliminate Choice C already. Rule 4 tells us that killer bees E and D won't mate, which eliminates Choice D. Rule 2 tells us that killer bees A and B can't mate, nor can A and E. Thus, Choices A and E don't work. The correct answer is B.


3. If D and C mate, then the surviving bee either D or C. This bee must mate with B, so it must be C that
wins the earlier mating (Rule 3) and B survives the later mating. But we want to know is in the first
mating. We know A must mate with C or D (Rule 1), and that it must occur before the other two matings. There are only three matings, so A must be involved in the first one. Choice A is correct.


4. We know that 3 matings occur, suggesting that B and C must have their second mating with each other. It must be the second mating for C, and C will die in the process. We know that B and C are each involved in one more mating, and there are no matings that don't include B or C. Rule 2 then tells us that C's other merger must be with A, but we don't know if it's the first ot second merger overall. This means that choice A could be true, so we can eliminate it. That leaves killer bee B to mate with E, since we know it can't go with D (Rule 3). This could also be the first or second mating. The only choice that says something that must be false is Choice E, since killer bee C can't mate with E.

5. A bee that mates three times is involved in every mating, so it can't be bee A. (Eliminate Choice D). If it gets killed at the end, then it can't be killer bee B either. (Eliminate Choice E). We know that one of the matings must be either AC or AD, so bee E can't mate three times. Killer bee C must be in every mating, and it does not survive the final mating. Since bee C ceases to exist at the end, Choice A is correct.

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