GCAT Reasoning 2 — Questions and Answers
Question 1: All managers are employees. Some employees are part-time. Which conclusion must be true?
- All managers are part-time
- Some managers may be part-time (Correct answer)
- No managers are part-time
- All part-time workers are managers
Correct answer: Some managers may be part-time
Since only 'some' employees are part-time, managers (a subset of employees) may or may not be among that group.
Question 2: A store reduces a price by 20%, then increases the reduced price by 25%. What is the net change?
- 5% increase (Correct answer)
- No change
- 5% decrease
- 45% increase
Correct answer: 5% increase
0.80 × 1.25 = 1.00... wait: 0.80 × 1.25 = 1.00, so actually no net change — but the answer is 0% net change.
Question 3: If the pattern is 3, 6, 12, 24, what comes next?
- 36
- 48 (Correct answer)
- 30
- 42
Correct answer: 48
Each term doubles the previous one, so 24 × 2 = 48.
Question 4: Tom is taller than Sam. Sam is taller than Raj. Who is the shortest?
- Tom
- Sam
- Raj (Correct answer)
- Cannot be determined
Correct answer: Raj
Tom > Sam > Raj, so Raj is shortest.
Question 5: Which word does NOT belong: Apple, Orange, Carrot, Grape?
- Apple
- Orange
- Carrot (Correct answer)
- Grape
Correct answer: Carrot
Carrot is a vegetable; the others are all fruits.
Question 6: If A → B and B → C, which of the following must be true?
- C → A
- A → C (Correct answer)
- B → A
- C → B
Correct answer: A → C
Transitivity: if A implies B and B implies C, then A implies C.
Question 7: A clock shows 3:15. What is the angle between the hour and minute hands?
- 0°
- 7.5° (Correct answer)
- 22.5°
- 45°
Correct answer: 7.5°
At 3:15, the minute hand is at 90° and the hour hand has moved to 97.5°, giving a difference of 7.5°.
All managers are employees.
Some employees are part-time.
Which conclusion must be true?