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- Section 4
Directions :
The logic problems in this set present you with three true statements: Fact 1, Fact 2, and Fact 3. Then, you are given three more statements (labeled I, II, and III), and you must determine which of these, if any, is also a fact. One or two of the statements could be true; all of the statements could be true; or none of the statements could be true. Choose your answer based solely on the information given in the first three facts.
6.
Fact 1: Islands are surrounded by water.
Fact 2: Maui is an island.
Fact 3: Maui was formed by a volcano. If the first three statements are facts, which of the following statements must also be a fact? I. Maui is surrounded by water.
II. All islands are formed by volcanoes.
III. All volcanoes are on islands.
Fact 2: Maui is an island.
Fact 3: Maui was formed by a volcano. If the first three statements are facts, which of the following statements must also be a fact? I. Maui is surrounded by water.
II. All islands are formed by volcanoes.
III. All volcanoes are on islands.
- A.I only
- C.II and III only
- B.II only
- D.None of the statements is a known fact.
- Answer & Explanation
- Report
Answer : [A]
Explanation :
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. |
7.
Fact 1: Robert has four vehicles.
Fact 2: Two of the vehicles are red.
Fact 3: One of the vehicles is a minivan. If the first three statements are facts, which of the following statements must also be a fact? I. Robert has a red minivan.
II. Robert has three cars.
III. Robert's favorite color is red.
Fact 2: Two of the vehicles are red.
Fact 3: One of the vehicles is a minivan. If the first three statements are facts, which of the following statements must also be a fact? I. Robert has a red minivan.
II. Robert has three cars.
III. Robert's favorite color is red.
- A.I only
- C.II and III only
- B.II only
- D.None of the statements is a known fact.
- Answer & Explanation
- Report
Answer : [D]
Explanation :
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). |
8.
Fact 1: All drink mixes are beverages.
Fact 2: All beverages are drinkable.
Fact 3: Some beverages are red. If the first three statements are facts, which of the following statements must also be a fact? I. Some drink mixes are red.
II. All beverages are drink mixes.
III. All red drink mixes are drinkable.
Fact 2: All beverages are drinkable.
Fact 3: Some beverages are red. If the first three statements are facts, which of the following statements must also be a fact? I. Some drink mixes are red.
II. All beverages are drink mixes.
III. All red drink mixes are drinkable.
- A.I only
- C.II and III only
- B.II only
- D.None of the statements is a known fact.
- Answer & Explanation
- Report
Answer : [C]
Explanation :
Explanation :
| If all drink mixes are beverages and some beverages are red, then some drink mixes are red (statement I). Since all beverages are drinkable and all drink mixes are beverages, then all red drink mixes must be drinkable (statement III). Statement II can be ruled out. |
9.
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. If the first three statements are facts, which of the following statements must also be a fact? 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.
Fact 2: There are stuffed bears and stuffed tigers.
Fact 3: Some chairs are stuffed with beans. If the first three statements are facts, which of the following statements must also be a fact? 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.
- A.I only
- C.II and III only
- B.II only
- D.None of the statements is a known fact.
- Answer & Explanation
- Report
Answer : [D]
Explanation :
Explanation :
| None of the three statements is supported by the known facts. |
10.
Fact 1: All chickens are birds.
Fact 2: Some chickens are hens.
Fact 3: Female birds lay eggs. If the first three statements are facts, which of the following statements must also be a fact? I. All birds lay eggs.
II. Hens are birds.
III. Some chickens are not hens.
Fact 2: Some chickens are hens.
Fact 3: Female birds lay eggs. If the first three statements are facts, which of the following statements must also be a fact? I. All birds lay eggs.
II. Hens are birds.
III. Some chickens are not hens.
- A.I only
- C.II and III only
- B.II only
- D.None of the statements is a known fact.
- Answer & Explanation
- Report
Answer : [B]
Explanation :
Explanation :
| The first statement cannot be true because only female birds lay eggs. Statement II is true because hens are chickens and chickens are birds. Statement III is also true because if only some chickens are hens, then some must not be hens. |
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