Crossover Aptitude Test Logical Reasoning 2 — Questions and Answers
Question 1: All project managers are certified. Some certified professionals are engineers. Which conclusion is valid?
- All engineers are project managers
- Some project managers may be engineers (Correct answer)
- No engineers are project managers
- All certified professionals are project managers
Correct answer: Some project managers may be engineers
Since some certified professionals are engineers and all project managers are certified, it's possible (but not certain) that some project managers are engineers.
Question 2: A sequence follows the pattern: 3, 6, 12, 24, ___. What is the next number?
- 36
- 42
- 48 (Correct answer)
- 40
Correct answer: 48
Each term is doubled: 3×2=6, 6×2=12, 12×2=24, 24×2=48.
Question 3: If no accountants are late filers, and Maria is a late filer, what must be true?
- Maria is an accountant
- Maria may be an accountant
- Maria is not an accountant (Correct answer)
- Maria is a certified accountant
Correct answer: Maria is not an accountant
If no accountants are late filers and Maria is a late filer, Maria cannot be an accountant.
Question 4: A team finishes a task in 8 days. If the team size is doubled, how long does the same task take?
- 2 days
- 4 days (Correct answer)
- 6 days
- 8 days
Correct answer: 4 days
Doubling the workforce halves the time: 8 ÷ 2 = 4 days.
Question 5: Choose the word that does NOT belong: Hypothesis, Theory, Assumption, Equation
- Hypothesis
- Theory
- Assumption
- Equation (Correct answer)
Correct answer: Equation
Hypothesis, theory, and assumption are all propositions subject to verification, while an equation is a mathematical statement.
Question 6: If A implies B, and B implies C, which statement is necessarily true?
- C implies A
- A implies C (Correct answer)
- B implies A
- C implies B
Correct answer: A implies C
By transitivity of implication, if A→B and B→C, then A→C.
Question 7: A clock shows 3:15. What is the angle between the hour and minute hands?
- 0°
- 7.5° (Correct answer)
- 15°
- 22.5°
Correct answer: 7.5°
At 3:15 the minute hand is at 90° and the hour hand is at 97.5° (3×30 + 15×0.5), giving a difference of 7.5°.
Crossover Aptitude Test Logical Reasoning 2
All project managers are certified.
Some certified professionals are engineers.
Which conclusion is valid?