The logic problems in this set present you with three true statements: Fact 1,…
2025
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.
Fact 1: All dogs like to run.
Fact 2: Some dogs like to swim.
Fact 3: Some dogs look like their masters.
If the first three statements are facts, which of the following statements must also be a fact?
I: All dogs who like to swim look like their masters.
II: Dogs who like to swim also like to run.
III: Dogs who like to run do not look like their masters.
- A.
I only
- B.
II only
- C.
II and III only
- D.
None of the statements is a known fact.
Attempted by 3599 students.
Show answer & explanation
Correct answer: B
Answer: II only
Explanation:
Reasoning for the true statement:
From Fact 1, all dogs like to run. Therefore any dog that likes to swim is still a dog and must like to run. This makes the statement that dogs who like to swim also like to run necessarily true.
Why the other statements are not facts:
The claim that all dogs who like to swim look like their masters is unsupported. Fact 2 says some dogs like to swim and Fact 3 says some dogs look like their masters, but these could be different dogs; there is no rule linking swimmers to looking like their masters.
The claim that dogs who like to run do not look like their masters contradicts the facts. Fact 1 says all dogs like to run, but Fact 3 says some dogs do look like their masters, so it cannot be true that no running dogs look like their masters.