Time –30 minutes
25 Questions
Questions 1-8
A bakery makes nine kinds of cookies. Of these nine, three kinds are fruit cookies—G, H, and J; three kinds are nut cookies—K, L, and O; and three kinds are plain cookies—X, Y, and Z. Each day of the week, Monday through Sunday, the bakery will feature a special price on exactly three different kinds of cookies. The three featured cookies will be selected according to the
following rules:Each day at least one fruit cookie must be featured, and each day at least one nut cookie must be featured.
On any day on which cookie J is featured, cookie L cannot be featured. On any day on which cookie k is featured, cookie Y must also be featured. No kind of cookie can be featured more than three times in a week.
1.Which of the following lists three cookies that can be
featured together?
(A) G, L, Z
(B) H, K, X
(C) J, L, Y
(D) J, O, Z
(E) K, O, Y
2. On a day on which both cookie L and cookie Z are featured, which of the following can be the third kind of cookie featured?
(A) H
(B) J
(C) O
(D) X
(E) Y
3.A partial schedule of featured cookies is shown below. Monday Tuesday Wednesday Thursday Friday L H O G Z According to this schedule, which of the following is a day on which cookie X CANNOT be one of the featured cookies?
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
(E) Friday
4.If cookie J is featured on Friday, Saturday, and Sunday; if cookie K is featured on Monday, Tuesday, and Wednesday, and if cookie G is featured only on Thursday, then cookie L can be featured on
(A) Monday only
(B) Thursday only
(C) Monday, Tuesday, and Wednesday only
(D) Friday, Saturday, and Sunday only
(E) any two of the first four days of the week
5. If each kind of nut cookie is featured three times in one week, what is the maximum number or days on which plain cookies can be featured during that week?
(A) Three
(B) Four
(C) Five
(D) Six
(E) Seven
6.If cookie H and cookie Y are each featured on Monday, Tuesday, and Wednesday, and if cookie G and cookie X are each featured on Thursday, Friday and Saturday, then the cookies featured on Sunday must include both
(A) J and K
(B) J and L
(C) J and O
(D) K and L
(E) K and Z
7.If exactly seven kinds of cookies are featured during one week, which of the following must be true about that week?
(A) X is the only kind of plain cookie that is featured
(B) Y is the only kind of plain cookie that is featured
(C) Z is the only kind of plain cookie that is featured.
(D) On at least one day, both cookie G and cookie Z are featured.
(E) On at least one day, both cookie J and cookie X are featured.
8.If cookie X is featured exactly twice and cookie Z is featured exactly three times in one week, which of the following must be true?
(A)Cookie G is featured exactly three times during the week.
(B)Cookie J is featured at most twice during the week.
(C)Cookie K is featured at most twice during the week.
(D)Cookie L is featured at most twice during the week.
(E) Cookie Y is featured exactly twice during the week.
9. In recent years, there has been a dramatic decline in the population of the shrike, a predatory bird that inhabits flat land, such as farms and pastures. Some ornithologists hypothesize that this decline is due to the introduction of new, more effective pesticides to
control the insect species on which shrikes prey.The answer to which of the following questions is NOT relevant to evaluating the ornithologists’ hypothesis?
(A) Was there a decline in the shrike population before the new pesticides were first used?
(B) Have shrike populations declined significantly in those habitats where the new pesticides have not been used?
(C) Have the new pesticides more significantly reduced the population of insect species on
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