4. Questions 1-6 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