Logical Problems
- 1.
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: Pictures can tell a story. Fact 2: All storybooks have pictures. Fact 3: Some storybooks have words. I: Pictures can tell a story better than words can. II: The stories in storybooks are very simple. III: Some storybooks have both words and pictures.
Options- A. I only
- B. II only
- C. III only
- D. None of the statements is a known fact. Discuss
Correct Answer: III only
Explanation:
Statements I and II are not supported by the facts. Statement III is true because if all story-books have pictures and only some have words, then some storybooks have both words and pictures.
- 2.
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: Some pens don't write. Fact 2: All blue pens write. Fact 3: Some writing utensils are pens. I: Some writing utensils don't write. II: Some writing utensils are blue. III: Some blue writing utensils don't write.
Options- A. I only
- B. I and II only
- C. II and III only
- D. None of the statements is a known fact. Discuss
Correct Answer: I and II only
Explanation:
Since some pens don't write, some writing utensils don't write (statement I). Since there are blue pens and since pens are writing utensils, some writing utensils are blue (statement II). There is not enough information to support statement III.
- 3.
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: Islands are surrounded by water. Fact 2: Maui is an island. Fact 3: Maui was formed by a volcano. I: Maui is surrounded by water. II: All islands are formed by volcanoes. III: All volcanoes are on islands.
Options- A. I only
- B. II only
- C. II and III only
- D. None of the statements is a known fact. Discuss
Correct Answer: I only
Explanation:
Since Maui is an island and islands are surrounded by water,Maui must be surrounded by water. There is not enough information to support statements II and III.
- 4.
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: Robert has four vehicles. Fact 2: Two of the vehicles are red. Fact 3: One of the vehicles is a minivan. I: Robert has a red minivan. II: Robert has three cars. III: Robert's favorite color is red.
Options- A. I only
- B. II only
- C. II and III only
- D. None of the statements is a known fact. Discuss
Correct Answer: None of the statements is a known fact.
Explanation:
There is not enough information to support any of the statements. Robert is known to have a minvan, but it is not known which of his vehicles is red. Robert may have a pickup or sport utility vehicle, so the second statement cannot be supported. There is no way to know if Robert's favorite color is red (statement III).
- 5. Four defensive football players are chasing the opposing wide receiver, who has the ball. Calvin is directly behind the ball carrier. Jenkins and Burton are side by side behind Calvin. Zeller is behind Jenkins and Burton. Calvin tries for the tackle but misses and falls. Burton trips. Which defensive player tackles the receiver?
Options- A. Burton
- B. Zeller
- C. Jenkins
- D. Calvin Discuss
Correct Answer: Jenkins
Explanation:
After all the switching was done, Jenkins was directly behind the receiver. Calvin and Burton had fallen. Zeller remained in the rear.
- 6. A four-person crew from Classic Colors is painting Mr. Field's house. Michael is painting the front of the house. Ross is in the alley behind the house painting the back. Jed is painting the window frames on the north side, Shawn is on the south. If Michael switches places with Jed, and Jed then switches places with Shawn, where is Shawn?
Options- A. in the alley behind the house
- B. on the north side of the house
- C. in front of the house
- D. on the south side of the house Discuss
Correct Answer: in front of the house
Explanation:
After all the switches were made, Shawn is in front of the house. Ross is in the alley behind the house,Michael is on the north side, and Jed is on the south.
- 7. In a four-day period Monday through Thursday each of the following temporary office workers worked only one day, each a different day. Ms. Johnson was scheduled to work on Monday, but she traded with Mr. Carter, who was originally scheduled to work on Wednesday. Ms. Falk traded with Mr. Kirk, who was originally scheduled to work on Thursday. After all the switching was done, who worked on Tuesday?
Options- A. Mr. Carter
- B. Ms. Falk
- C. Ms. Johnson
- D. Mr. Kirk Discuss
Correct Answer: Mr. Kirk
Explanation:
After all the switches were made, Mr. Kirk worked on Tuesday. Mr. Carter worked on Monday,Ms. Johnson on Wednesday, and Ms. Falk on Thursday.
- 8. Four people witnessed a mugging. Each gave a different description of the mugger. Which description is probably right?
Options- A. He was average height, thin, and middle-aged.
- B. He was tall, thin, and middle-aged.
- C. He was tall, thin, and young.
- D. He was tall, of average weight, and middle-aged. Discuss
Correct Answer: He was tall, thin, and middle-aged.
Explanation:
Tall, thin, and middle-aged are the elements of the description repeated most often and are therefore the most likely to be accurate.
- 9. Ms. Forest likes to let her students choose who their partners will be; however, no pair of students may work together more than seven class periods in a row. Adam and Baxter have studied together seven class periods in a row. Carter and Dennis have worked together three class periods in a row. Carter does not want to work with Adam. Who should be assigned to work with Baxter?
Options- A. Carter
- B. Adam
- C. Dennis
- D. Forest Discuss
Correct Answer: Carter
Explanation:
Baxter should be assigned to study with Carter. Baxter cannot be assigned with Adam, because they have already been together for seven class periods. If Baxter is assigned to work with Dennis, that would leave Adam with Carter, but Carter does not want to work with Adam.
- 10. At the baseball game, Henry was sitting in seat 253. Marla was sitting to the right of Henry in seat 254. In the seat to the left of Henry was George. Inez was sitting to the left of George. Which seat is Inez sitting in?
Options- A. 251
- B. 254
- C. 255
- D. 256 Discuss
Correct Answer: 251
Explanation:
If George is sitting at Henry's left, George's seat is 252. The next seat to the left, then, is 251.
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