CCAT Logical Reasoning 4 β Questions and Answers
Question 1: All mammals are warm-blooded. Whales are mammals. Which conclusion is valid?
- Whales are cold-blooded
- Whales are warm-blooded (Correct answer)
- All warm-blooded animals are mammals
- Whales are fish
Correct answer: Whales are warm-blooded
Since all mammals are warm-blooded and whales are mammals, whales must be warm-blooded.
Question 2: If no A are B, and all C are B, what can be concluded?
- All C are A
- No C are A (Correct answer)
- Some C are A
- All A are C
Correct answer: No C are A
Since all C are B and no A are B, C and A share no members, so no C are A.
Question 3: A store sells only red and blue shirts. Every red shirt costs more than every blue shirt. Maya bought the cheapest shirt available. What color is her shirt?
- Red
- Blue (Correct answer)
- Either color
- Cannot be determined
Correct answer: Blue
Since every red shirt costs more than every blue shirt, the cheapest shirt must be blue.
Question 4: Look at the pattern: 2, 6, 18, 54, ___. What comes next?
- 108
- 162 (Correct answer)
- 216
- 72
Correct answer: 162
Each term is multiplied by 3: 54 Γ 3 = 162.
Question 5: Five people stand in a line. Tom is ahead of Sara. Sara is ahead of Lee. Lee is ahead of Pat. Who is last?
- Tom
- Sara
- Lee
- Pat (Correct answer)
Correct answer: Pat
The order is Tom β Sara β Lee β Pat, so Pat is last.
Question 6: Every time it rains, the grass gets wet. The grass is wet. What can be concluded?
- It rained
- It did not rain
- It may or may not have rained (Correct answer)
- The grass will dry soon
Correct answer: It may or may not have rained
Wet grass is consistent with rain but could have another cause, so rain is not certain.
Question 7: Which statement is the contrapositive of 'If it is a square, then it has four sides'?
- If it has four sides, then it is a square
- If it does not have four sides, then it is not a square (Correct answer)
- If it is not a square, then it does not have four sides
- Squares always have four sides
Correct answer: If it does not have four sides, then it is not a square
The contrapositive flips and negates both parts: 'If not four sides, then not a square.'
All mammals are warm-blooded.
Whales are mammals.
Which conclusion is valid?