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- Question
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.
- Correct Answer
- None of the statements is a known fact.
ExplanationThere 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). - 1.
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
- 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
- 3.
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
- 4.
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: Mary said, "Ann and I both have cats." Fact 2: Ann said, "I don't have a cat." Fact 3: Mary always tells the truth, but Ann sometimes lies. I: Ann has a cat. II: Mary has a cat. III: Ann is lying.
Options- A. I only
- B. II only
- C. I and II only
- D. All the statements are facts. Discuss
- 5.
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: Most stuffed toys are stuffed with beans. Fact 2: There are stuffed bears and stuffed tigers. Fact 3: Some chairs are stuffed with beans. I: Only children's chairs are stuffed with beans. II: All stuffed tigers are stuffed with beans. III: Stuffed monkeys are not stuffed with beans.
Options- A. I only
- B. II only
- C. II and III only
- D. None of the statements is a known fact. Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Logical Problems
Search Results
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.
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.
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.
Correct Answer: All the statements are facts.
Explanation:
If Mary always tells the truth, then both Ann and Mary have cats (statements I and II), and Ann is lying (statement III). So all the statements are facts.
Correct Answer: None of the statements is a known fact.
Explanation:
None of the three statements is supported by the known facts.
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.
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.
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.
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.
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.
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