RCAT Logical Reasoning 1 — Questions and Answers
Question 1: All managers are employees. Some employees are trained. Which conclusion must be true?
- Some managers may be trained (Correct answer)
- All managers are trained
- No managers are trained
- All trained people are managers
Correct answer: Some managers may be trained
Since all managers are employees and some employees are trained, it is possible (but not certain) that some managers are trained.
Question 2: If it rains, the match is cancelled. The match was not cancelled. What can you conclude?
- It did not rain (Correct answer)
- It rained
- The match may still be cancelled later
- Nothing can be concluded
Correct answer: It did not rain
By modus tollens: if Rain → Cancelled, and NOT Cancelled, then NOT Rain.
Question 3: Amy is taller than Ben. Ben is taller than Carl. Dan is shorter than Carl. Who is the tallest?
- Amy (Correct answer)
- Ben
- Carl
- Dan
Correct answer: Amy
The order from tallest to shortest is Amy > Ben > Carl > Dan, so Amy is tallest.
Question 4: Only club members may use the pool. James is using the pool. What must be true?
- James is a club member (Correct answer)
- James is not a club member
- James might be a member
- Nothing can be concluded
Correct answer: James is a club member
Since only members can use the pool and James is using it, James must be a member.
Question 5: Three boxes are labeled 'Apples,' 'Oranges,' and 'Mixed.' All labels are wrong. You pick one fruit from the 'Mixed' box and it is an apple. What does the 'Apples' box contain?
- Oranges (Correct answer)
- Apples
- Mixed (apples and oranges)
- Cannot be determined
Correct answer: Oranges
The 'Mixed' box must be either pure apples or pure oranges — it's apples; 'Apples' can't have apples (wrong label) so it has oranges; 'Oranges' gets the mixed fruit.
Question 6: No fish are mammals. All whales are mammals. Therefore:
- No whales are fish (Correct answer)
- Some whales are fish
- All fish are whales
- Some mammals are fish
Correct answer: No whales are fish
Since no fish are mammals and all whales are mammals, no whales can be fish.
RCAT Logical Reasoning 1
All managers are employees.
Some employees are trained.
Which conclusion must be true?