1.
Directions for questions 1 to 5: Refer to the data below and answer the questions that follow.
Two families are planning to go on a canoe trip together. The families consist of the following people: Robert and Mary Henderson and their three sons Tommy, Dan, and William; Jerome and Ellen Penick and their two daughters Kate and Susan.
There will be three canoes, with three people in each canoe. At least one of the four parents must be in each canoe. At least one person from each family must be in each canoe.
Question: If the two mothers ride together in the same canoe, and the three brothers each ride in a different canoe, which of the following must be true?
A.
Each canoe has both males and females in it.
B.
One of the canoes has only females in it.
C.
One of the canoes has only males in it.
D.
The sisters ride in the same canoe.
2.
Directions for questions 1 to 5: Refer to the data below and answer the questions that follow.
Two families are planning to go on a canoe trip together. The families consist of the following people: Robert and Mary Henderson and their three sons Tommy, Dan, and William; Jerome and Ellen Penick and their two daughters Kate and Susan.
There will be three canoes, with three people in each canoe. At least one of the four parents must be in each canoe. At least one person from each family must be in each canoe.
Question: If Ellen and Susan are together in one of the canoes, which of the following could be a list of the people together in another canoe?
3.
Directions for questions 1 to 5: Refer to the data below and answer the questions that follow.
Two families are planning to go on a canoe trip together. The families consist of the following people: Robert and Mary Henderson and their three sons Tommy, Dan, and William; Jerome and Ellen Penick and their two daughters Kate and Susan.
There will be three canoes, with three people in each canoe. At least one of the four parents must be in each canoe. At least one person from each family must be in each canoe.
Question: If Jerome and Mary are together in one of the canoes, each of the following could be a list of the people together in another canoe except
4.
Directions for questions 1 to 5: Refer to the data below and answer the questions that follow.
Two families are planning to go on a canoe trip together. The families consist of the following people: Robert and Mary Henderson and their three sons Tommy, Dan, and William; Jerome and Ellen Penick and their two daughters Kate and Susan.
There will be three canoes, with three people in each canoe. At least one of the four parents must be in each canoe. At least one person from each family must be in each canoe.
Question: If each of the Henderson children ride in a different canoe, which of the following must be true?
I . The Penick children do not ride together
II . The Penick parents do not ride together
III . The Henderson parents do not ride together
5.
Directions for questions 1 to 5: Refer to the data below and answer the questions that follow.
Two families are planning to go on a canoe trip together. The families consist of the following people: Robert and Mary Henderson and their three sons Tommy, Dan, and William; Jerome and Ellen Penick and their two daughters Kate and Susan.
There will be three canoes, with three people in each canoe. At least one of the four parents must be in each canoe. At least one person from each family must be in each canoe.
Question: On one of the days of the trip, while the canoeists go over rapids, Jersome chooses to go hiking with two of the children rather than canoeing, and there are six people in the canoes, two in each canoe. If the other conditions still hold for the canoeists, which of the following could be a list of the children in the canoe?
6.
Directions for questions 6 to 10: Each question or group of questions is based on a passage or set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. For each question, select the best answer choice given.
A combination of three fabrics is being chosen to decorate a room. The fabrics must be chosen from a group of seven fabrics – F, G, H, J, K, L and M – according to the following conditions:
(1) If F or G is chosen, the other must also be chosen
(2) H and J cannot be chosen together
(3) Either H or F or both must be chosen
Question: Which of the following combinations of fabrics conforms to the conditions?
7.
Directions for questions 6 to 10: Each question or group of questions is based on a passage or set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. For each question, select the best answer choice given.
A combination of three fabrics is being chosen to decorate a room. The fabrics must be chosen from a group of seven fabrics – F, G, H, J, K, L and M – according to the following conditions:
(1) If F or G is chosen, the other must also be chosen
(2) H and J cannot be chosen together
(3) Either H or F or both must be chosen
Question: If J is chosen, which of the following pairs of fabrics must also be chosen?
8.
Directions for questions 6 to 10: Each question or group of questions is based on a passage or set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. For each question, select the best answer choice given.
A combination of three fabrics is being chosen to decorate a room. The fabrics must be chosen from a group of seven fabrics – F, G, H, J, K, L and M – according to the following conditions:
(1) If F or G is chosen, the other must also be chosen
(2) H and J cannot be chosen together
(3) Either H or F or both must be chosen
Question: If K is chosen, which of the following pairs of fabrics could also be chosen?
9.
Directions for questions 6 to 10: Each question or group of questions is based on a passage or set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. For each question, select the best answer choice given.
A combination of three fabrics is being chosen to decorate a room. The fabrics must be chosen from a group of seven fabrics – F, G, H, J, K, L and M – according to the following conditions:
(1) If F or G is chosen, the other must also be chosen
(2) H and J cannot be chosen together
(3) Either H or F or both must be chosen
Question: If H and M are chosen, how many of the remaining fabrics could possibly be the third fabric chosen?
10.
Directions for questions 6 to 10: Each question or group of questions is based on a passage or set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. For each question, select the best answer choice given.
A combination of three fabrics is being chosen to decorate a room. The fabrics must be chosen from a group of seven fabrics – F, G, H, J, K, L and M – according to the following conditions:
(1) If F or G is chosen, the other must also be chosen
(2) H and J cannot be chosen together
(3) Either H or F or both must be chosen
Question: If L is chosen, which of the following fabrics cannot be chosen?
11.
Directions for questions 11 to 13: Refer to the data below and answer the questions that follow.
A pegboard has a total of six holes, all in a horizontal line, numbered one through six from left to right. Five pegsone blue, one green, one red, one white and one yellow – are to be arranged in the pegboard, one peg per hole, leaving exactly one empty hole for any arrangement. To be acceptable, any arrangement of the pegs must meet the following conditions:

The green peg must be closer to the red peg than to the blue peg.

The yellow peg must be in the hole immediately to the left of the blue peg.

The white peg must not be in a hole immediately adjacent to the blue peg.

The red peg must not be in hole number one.
Question: All of the following arrangements, given in lefttoright order, meet the conditions EXCEPT
A.
Green, red, white, empty hole, yellow, blue
B.
Green, red, empty hole, yellow, blue, white
C.
Green, white, red, yellow, blue, empty hole
D.
White, empty hole, yellow, blue, red, green
12.
Directions for questions 11 to 13: Refer to the data below and answer the questions that follow.
A pegboard has a total of six holes, all in a horizontal line, numbered one through six from left to right. Five pegsone blue, one green, one red, one white and one yellow – are to be arranged in the pegboard, one peg per hole, leaving exactly one empty hole for any arrangement. To be acceptable, any arrangement of the pegs must meet the following conditions:

The green peg must be closer to the red peg than to the blue peg.

The yellow peg must be in the hole immediately to the left of the blue peg.

The white peg must not be in a hole immediately adjacent to the blue peg.

The red peg must not be in hole number one.
Question: If the green peg must be in the hole immediately to the left of the yellow peg, which of the following arrangements, given in lefttoright order, is acceptable?
A.
Red, green, yellow, blue, empty hole, white
B.
White, red, empty hole, green, yellow, blue
C.
Empty hole, red, green, yellow, blue, white
D.
Empty hole, white, red, green, yellow, blue
13.
Directions for questions 11 to 13: Refer to the data below and answer the questions that follow.
A pegboard has a total of six holes, all in a horizontal line, numbered one through six from left to right. Five pegsone blue, one green, one red, one white and one yellow – are to be arranged in the pegboard, one peg per hole, leaving exactly one empty hole for any arrangement. To be acceptable, any arrangement of the pegs must meet the following conditions:

The green peg must be closer to the red peg than to the blue peg.

The yellow peg must be in the hole immediately to the left of the blue peg.

The white peg must not be in a hole immediately adjacent to the blue peg.

The red peg must not be in hole number one.
Question: If the conditions are changed so that the red peg must be in hole number one, and it hole number six is the empty hole, then the only acceptable lefttoright arrangement of the remaining pegs is
A.
Green, white, yellow, blue
B.
Green, yellow, blue, white
C.
Green, blue, yellow, white
D.
White, yellow, blue, green
14.
Directions for questions 14 and 15: Refer to the data below and answer the questions that follow.
The Apollo Theatre showed six movies during a sixday period that began on Sunday and ended the following Friday. The movies shown, not necessarily in this order, were a musical, a comedy, a Western, a science fiction film, a horror film and a disaster film. There was only one showing of only one movie on each day. During this sixday period, each of five paying movie reviewers N, O, P, Q and R attended all the showings with the following exceptions:

There was no day of the week on which both P and Q went to the movie.

On Wednesday and Friday, N did go to the movies.

O never went to science fiction or horror films.

On Monday, Thursday and Friday, P did not go to the movies.

Q never went to comedies, Western, or disaster films.

R never went to musicals, comedies, or westerns.
Question: If the Apollo Movie Theatre management charged the same price at all showings of the six movies, which of the following, if shown on Monday, would have brought in the LEAST revenue from the five reviewers?
15.
Directions for questions 14 and 15: Refer to the data below and answer the questions that follow.
The Apollo Theatre showed six movies during a sixday period that began on Sunday and ended the following Friday. The movies shown, not necessarily in this order, were a musical, a comedy, a Western, a science fiction film, a horror film and a disaster film. There was only one showing of only one movie on each day. During this sixday period, each of five paying movie reviewers N, O, P, Q and R attended all the showings with the following exceptions:

There was no day of the week on which both P and Q went to the movie.

On Wednesday and Friday, N did go to the movies.

O never went to science fiction or horror films.

On Monday, Thursday and Friday, P did not go to the movies.

Q never went to comedies, Western, or disaster films.

R never went to musicals, comedies, or westerns.
Question: If only two of the reviewers went to the same movie on a certain day, which of the following could be true?
A.
The day was Wednesday and the musical was shown
B.
The day was Thursday and the disaster film was shown
C.
The day was Monday and the musical was shown
D.
The day was Tuesday and the science fiction film was shown