Logical And Analytical Reasoning Quiz Questions And Answers

1. 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 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 conform to the conditions?

F, H, J

H, K, M

G, H, M

H, J, L

According to condition (1), if F or G is chosen, the other must also be chosen. Since F is not in the combination, G cannot be chosen. According to condition (2), H and J cannot be chosen together. Since J is not in the combination, H can be chosen. According to condition (3), either H or F or both must be chosen. Since H is in the combination, it satisfies this condition. Therefore, the combination H, K, M conforms to all the given conditions.

Explanation

According to condition (1), if F or G is chosen, the other must also be chosen. Since F is not in the combination, G cannot be chosen. According to condition (2), H and J cannot be chosen together. Since J is not in the combination, H can be chosen. According to condition (3), either H or F or both must be chosen. Since H is in the combination, it satisfies this condition. Therefore, the combination H, K, M conforms to all the given conditions.

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 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?

Each canoe has both males and females in it.

One of the canoes has only females in it.

One of the canoes has only males in it.

The sisters ride in the same canoe.

If the two mothers ride together in the same canoe and the three brothers each ride in a different canoe, it means that in each canoe there will be at least one male (the brother) and one female (one of the parents). Therefore, each canoe must have both males and females in it.

Explanation

If the two mothers ride together in the same canoe and the three brothers each ride in a different canoe, it means that in each canoe there will be at least one male (the brother) and one female (one of the parents). Therefore, each canoe must have both males and females in it.

3. 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 pegs-one blue, one green, one red, one white, and one yellow – are to be arranged on 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 left-to-right order, meet the conditions EXCEPT

Green, red, white, empty hole, yellow, blue

Green, red, empty hole, yellow, blue, white

Green, white, red, yellow, blue, empty hole

White, empty hole, yellow, blue, red, green

The given arrangement of pegs, green, red, empty hole, yellow, blue, white, meets all the conditions mentioned. The green peg is closer to the red peg than to the blue peg, the yellow peg is in the hole immediately to the left of the blue peg, the white peg is not in a hole immediately adjacent to the blue peg, and the red peg is not in hole number one. Therefore, this arrangement satisfies all the conditions and is acceptable.

Explanation

The given arrangement of pegs, green, red, empty hole, yellow, blue, white, meets all the conditions mentioned. The green peg is closer to the red peg than to the blue peg, the yellow peg is in the hole immediately to the left of the blue peg, the white peg is not in a hole immediately adjacent to the blue peg, and the red peg is not in hole number one. Therefore, this arrangement satisfies all the conditions and is acceptable.

4. Question: If J is chosen, which of the following pairs of fabrics must also be chosen?

F and G

F and M

G and H

H and K

If J is chosen, then according to the question, the following pairs of fabrics must also be chosen: F and G.

Explanation

If J is chosen, then according to the question, the following pairs of fabrics must also be chosen: F and G.

5. 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

Dan, Ellen, Susan

Ellen, Robert, Tommy

Ellen, Susan, William

Ellen, Tommy, William

The list of people together in another canoe that could not be possible is "Ellen, Tommy, William". This is because in the given question, it is stated that Jerome and Mary are together in one of the canoes. Since Ellen is already mentioned in this list, she cannot be in the same canoe as Tommy and William, as it would violate the condition that Jerome and Mary are together. Therefore, "Ellen, Tommy, William" is the incorrect option.

Explanation

The list of people together in another canoe that could not be possible is "Ellen, Tommy, William". This is because in the given question, it is stated that Jerome and Mary are together in one of the canoes. Since Ellen is already mentioned in this list, she cannot be in the same canoe as Tommy and William, as it would violate the condition that Jerome and Mary are together. Therefore, "Ellen, Tommy, William" is the incorrect option.

6. Question: If L is chosen, which of the following fabrics cannot be chosen?

H

J

K

If L is chosen, fabric J cannot be chosen.

Explanation

If L is chosen, fabric J cannot be chosen.

7. Question: If K is chosen, which of the following pairs of fabrics could also be chosen?

F and H

F and L

G and H

H and L

If K is chosen, the only pair of fabrics that could also be chosen is H and L. This is because the question states "which of the following pairs of fabrics could also be chosen", implying that there is a specific combination that matches with K. Among the given options, only H and L is a valid pair that can be chosen alongside K.

Explanation

If K is chosen, the only pair of fabrics that could also be chosen is H and L. This is because the question states "which of the following pairs of fabrics could also be chosen", implying that there is a specific combination that matches with K. Among the given options, only H and L is a valid pair that can be chosen alongside K.

8. Question: If H and M are chosen, how many of the remaining fabrics could possibly be the third fabric chosen?

1

2

3

4

If H and M are chosen, there are 4 remaining fabrics: A, B, C, and D. However, since the question asks for the number of fabrics that could possibly be the third fabric chosen, we need to consider the fabrics that have not been chosen yet. Out of the remaining fabrics, only two fabrics (C and D) could possibly be the third fabric chosen, as fabrics A and B have not been chosen yet. Therefore, the answer is 2.

Explanation

If H and M are chosen, there are 4 remaining fabrics: A, B, C, and D. However, since the question asks for the number of fabrics that could possibly be the third fabric chosen, we need to consider the fabrics that have not been chosen yet. Out of the remaining fabrics, only two fabrics (C and D) could possibly be the third fabric chosen, as fabrics A and B have not been chosen yet. Therefore, the answer is 2.

9. 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?

Dan, Jerome, Kate

Dan, Jerome, William

Dan, Kate, Tommy

Jerome, Kate, Mary

Since Ellen and Susan are already together in one canoe, they cannot be together in another canoe. Therefore, the only option that satisfies this condition is "Dan, Jerome, William".

Explanation

Since Ellen and Susan are already together in one canoe, they cannot be together in another canoe. Therefore, the only option that satisfies this condition is "Dan, Jerome, William".

10. Question: If each of the Henderson children rides 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.

I only

II only

I & II only

I & III only

The correct answer is "I only". This means that only statement I must be true. Statement I states that the Penick children do not ride together. Since each of the Henderson children rides in a different canoe, it is implied that the Penick children are not riding together. However, statements II and III do not necessarily have to be true.

Explanation

The correct answer is "I only". This means that only statement I must be true. Statement I states that the Penick children do not ride together. Since each of the Henderson children rides in a different canoe, it is implied that the Penick children are not riding together. However, statements II and III do not necessarily have to be true.

11. Question: If the conditions are changed so that the red peg must be in hole number one and hole number six is the empty hole, then the only acceptable left-to-right arrangement of the remaining pegs is

Green, white, yellow, blue

Green, yellow, blue, white

Green, blue, yellow, white

White, yellow, blue, green

not-available-via-ai

Explanation

not-available-via-ai

12. 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 six-day 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 each day. During this six-day 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?

A musical

A comedy

A science fiction film

A horror film

The movie that would have brought in the least revenue from the five reviewers if shown on Monday is a musical. This is because R never went to musicals, so R would not have attended the showing of the musical on Monday. Therefore, the revenue from R would not be included if a musical was shown on Monday, resulting in the least revenue from the five reviewers.

Explanation

The movie that would have brought in the least revenue from the five reviewers if shown on Monday is a musical. This is because R never went to musicals, so R would not have attended the showing of the musical on Monday. Therefore, the revenue from R would not be included if a musical was shown on Monday, resulting in the least revenue from the five reviewers.

13. Question: On one of the days of the trip, while the canoeists go over rapids, Jerome 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?

Dan, Kate, Susan

Dan, Kate, William

Dan, Tommy, William

Dan, William, Susan

Jerome chooses to go hiking with two of the children rather than canoeing, so he is not in the canoe. It is mentioned that there are six people in the canoes, with two in each canoe. Therefore, there must be a total of three canoes. Looking at the options, the only list of children that includes three names is Dan, Kate, Susan. Hence, this could be a possible list of children in the canoe.

Explanation

Jerome chooses to go hiking with two of the children rather than canoeing, so he is not in the canoe. It is mentioned that there are six people in the canoes, with two in each canoe. Therefore, there must be a total of three canoes. Looking at the options, the only list of children that includes three names is Dan, Kate, Susan. Hence, this could be a possible list of children in the canoe.

14. 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 left-to-right order, is acceptable?

Red, green, yellow, blue, empty hole, white

White, red, empty hole, green, yellow, blue

Empty hole, red, green, yellow, blue, white

Empty hole, white, red, green, yellow, blue

The green peg must be in the hole immediately to the left of the yellow peg. In the arrangement "Empty hole, white, red, green, yellow, blue", the green peg is indeed in the hole immediately to the left of the yellow peg, making this arrangement acceptable.

Explanation

The green peg must be in the hole immediately to the left of the yellow peg. In the arrangement "Empty hole, white, red, green, yellow, blue", the green peg is indeed in the hole immediately to the left of the yellow peg, making this arrangement acceptable.

15. Question: If only two of the reviewers went to the same movie on a certain day, which of the following could be true?

The day was Wednesday, and the musical was shown.

The day was Thursday, and the disaster film was shown.

The day was Monday, and the musical was shown.

The day was Tuesday, and the science fiction film was shown.

The answer could be true because it states that the day was Wednesday and the musical was shown. This scenario fits the condition mentioned in the question that only two reviewers went to the same movie on a certain day.

Explanation

The answer could be true because it states that the day was Wednesday and the musical was shown. This scenario fits the condition mentioned in the question that only two reviewers went to the same movie on a certain day.