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2023gre数学选择题精炼
Petworld has exactly fourteen animals that are kept in four separate cages 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.
. Which one of the following could be a complete and accurate list of the animals kept in cages W and Y?
W: one gerbil and one hamster; Y: two lizards and two snakes
W: one gerbil and two hamsters; Y: one lizard and three snakes
W: two gerbils and two hamsters; Y: one lizard and four snakes
W: two gerbils and two hamsters; Y: three lizards and one snake
W: two gerbils and two lizards; Y: two hamsters and two snakes
. 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
one
two
three
four
five
. If cage Z contains exactly twice as many lizards as cage Y, which one of the following can be true?
cage Y contains exactly two lizards.
Cage Y contains exactly two snakes.
Cage Y contains exactly four animals.
Cage Z contains exactly three snakes.
Cage Z contains exactly two animals.
. 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?
Cage W contains exactly six animals.
Cage X contains exactly six animals.
Cage Y contains exactly one snake.
Cage Y contains exactly three snakes.
Cage Z contains exactly four snakes.
. If cage W contains six animals, which one of the following must be true?
Cage W contains two gerbils.
Cage X contains four animals.
Cage Z contains two snakes.
The number of snakes in cage Y is equal to the number of lizards in cage Y.
The number of snakes in cage Z is equal to the number of lizards in cage Z.
. At most, how many snakes can occupy cage Y at any one time?
one
two
three
four
five
KEYS: ADCDED
2023gre数学选择题精炼
Petworld has exactly fourteen animals that are kept in four separate cages 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.
. Which one of the following could be a complete and accurate list of the animals kept in cages W and Y?
W: one gerbil and one hamster; Y: two lizards and two snakes
W: one gerbil and two hamsters; Y: one lizard and three snakes
W: two gerbils and two hamsters; Y: one lizard and four snakes
W: two gerbils and two hamsters; Y: three lizards and one snake
W: two gerbils and two lizards; Y: two hamsters and two snakes
. 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
one
two
three
four
five
. If cage Z contains exactly twice as many lizards as cage Y, which one of the following can be true?
cage Y contains exactly two lizards.
Cage Y contains exactly two snakes.
Cage Y contains exactly four animals.
Cage Z contains exactly three snakes.
Cage Z contains exactly two animals.
. 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?
Cage W contains exactly six animals.
Cage X contains exactly six animals.
Cage Y contains exactly one snake.
Cage Y contains exactly three snakes.
Cage Z contains exactly four snakes.
. If cage W contains six animals, which one of the following must be true?
Cage W contains two gerbils.
Cage X contains four animals.
Cage Z contains two snakes.
The number of snakes in cage Y is equal to the number of lizards in cage Y.
The number of snakes in cage Z is equal to the number of lizards in cage Z.
. At most, how many snakes can occupy cage Y at any one time?
one
two
three
four
five
KEYS: ADCDED
