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 firs