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2011gre数学选择题精炼
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions:
Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage containing a hamster also contains at least one gerbil. Any cage containing a lizard also contains at least one snake; any cage containing a snake also contains at least one lizard. Neither cage Y nor cage Z contains a gerbil. Neither cage W nor cage X contains a lizard.
(1). Which one of the following could be a complete and accurate list of the animals kept in cages W and Y?
(A) W: one gerbil and one hamster; Y: two lizards and two snakes
(B) W: one gerbil and two hamsters; Y: one lizard and three snakes
(C) W: two gerbils and two hamsters; Y: one lizard and four snakes
(D) W: two gerbils and two hamsters; Y: three lizards and one snake
(E) W: two gerbils and two lizards; Y: two hamsters and two snakes
(2). If there are exactly two hamsters in cage W and the number of gerbils in cage X is equal to the number of snakes in cage Y, then the number of snakes in cage Z must be exactly
(A) one
(B) two
(C) three
(D) four
(E) five
(3). If cage Z contains exactly twice as many lizards as cage Y, which one of the following can be true?
(A) cage Y contains exactly two lizards.
(B) Cage Y contains exactly two snakes.
(C) Cage Y contains exactly four animals.
(D) Cage Z contains exactly three snakes.
(E) Cage Z contains exactly two animals.
(4). If the number of animals in cage W is equal to the number of animals in cage Z, then which one of the following can be true?
(A) Cage W contains exactly six animals.
(B) Cage X contains exactly six animals.
(C) Cage Y contains exactly one snake.
(D) Cage Y contains exactly three snakes.
(E) Cage Z contains exactly four snakes.
(5). If cage W contains six animals, which one of the following must be true?
(A) Cage W contains two gerbils.
(B) Cage X contains four animals.
(C) Cage Z contains two snakes.
(D) The number of snakes in cage Y is equal to the number of lizards in cage Y.
(E) The number of snakes in cage Z is equal to the number of lizards in cage Z.
(6). At most, how many snakes can occupy cage Y at any one time?
(A) one
(B) two
(C) three
(D) four
(E) five
KEYS: ADCDED
2011GRE考试选择题精炼(1)2011GRE考试选择题精炼(1)2011gre数学选择题精炼
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions:
Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage containing a hamster also contains at least one gerbil. Any cage containing a lizard also contains at least one snake; any cage containing a snake also contains at least one lizard. Neither cage Y nor cage Z contains a gerbil. Neither cage W nor cage X contains a lizard.
(1). Which one of the following could be a complete and accurate list of the animals kept in cages W and Y?
(A) W: one gerbil and one hamster; Y: two lizards and two snakes
(B) W: one gerbil and two hamsters; Y: one lizard and three snakes
(C) W: two gerbils and two hamsters; Y: one lizard and four snakes
(D) W: two gerbils and two hamsters; Y: three lizards and one snake
(E) W: two gerbils and two lizards; Y: two hamsters and two snakes
(2). If there are exactly two hamsters in cage W and the number of gerbils in cage X is equal to the number of snakes in cage Y, then the number of snakes in cage Z must be exactly
(A) one
(B) two
(C) three
(D) four
(E) five
(3). If cage Z contains exactly twice as many lizards as cage Y, which one of the following can be true?
(A) cage Y contains exactly two lizards.
(B) Cage Y contains exactly two snakes.
(C) Cage Y contains exactly four animals.
(D) Cage Z contains exactly three snakes.
(E) Cage Z contains exactly two animals.
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