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- Logical Problems
- 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.
11.
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. If the first three statements are facts, which of the following statements must also be a fact? I. Ann has a cat.
II. Mary has a cat.
III. Ann is lying.
Fact 2: Ann said, "I don't have a cat."
Fact 3: Mary always tells the truth, but Ann sometimes lies. If the first three statements are facts, which of the following statements must also be a fact? I. Ann has a cat.
II. Mary has a cat.
III. Ann is lying.
- 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 Mary always tells the truth, then both Ann and Mary have cats (statements I and II), and Ann is lying (statement III). |
12.
Fact 1: Jessica has four children.
Fact 2: Two of the children have blue eyes and two of the children have brown eyes.
Fact 3: Half of the children are girls. If the first three statements are facts, which of the following statements must also be a fact? I. At least one girl has blue eyes.
II. Two of the children are boys.
III. The boys have brown eyes.
Fact 2: Two of the children have blue eyes and two of the children have brown eyes.
Fact 3: Half of the children are girls. If the first three statements are facts, which of the following statements must also be a fact? I. At least one girl has blue eyes.
II. Two of the children are boys.
III. The boys have brown eyes.
- 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 one-half of the four children are girls, two must be boys. It is not clear which children have blue or brown eyes. |
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