Mettl Logical Reasoning 2 — Questions and Answers
Question 1: All squares are rectangles. Some rectangles are rhombuses. Which conclusion is definitely true?
- All squares are rhombuses
- Some squares are rhombuses
- No square is a rhombus
- Some rectangles are squares (Correct answer)
Correct answer: Some rectangles are squares
Since all squares are rectangles, rectangles include squares, so some rectangles are squares.
Question 2: A train leaves Station A at 9:00 AM traveling east at 60 mph. Another train leaves Station B (180 miles east of A) at the same time traveling west at 30 mph. At what time do they meet?
- 10:00 AM
- 11:00 AM (Correct answer)
- 10:30 AM
- 12:00 PM
Correct answer: 11:00 AM
Combined speed is 90 mph; 180 miles ÷ 90 mph = 2 hours, so they meet at 11:00 AM.
Question 3: If PENCIL is coded as QFODLM, how is PAPER coded?
- QBQFS (Correct answer)
- QCQFT
- QAQER
- RBQFS
Correct answer: QBQFS
Each letter is shifted forward by 1 in the alphabet, so P→Q, A→B, P→Q, E→F, R→S gives QBQFS.
Question 4: Pointing to a woman, Sam said, 'Her mother's husband's sister is my aunt.' How is the woman related to Sam?
- Sister (Correct answer)
- Cousin
- Niece
- Mother
Correct answer: Sister
Her mother's husband is her father; his sister is Sam's aunt, meaning her father and Sam's parent are siblings, so she and Sam are siblings.
Question 5: What is the next number in the series: 2, 6, 12, 20, 30, ?
- 40
- 42 (Correct answer)
- 44
- 36
Correct answer: 42
Differences are 4, 6, 8, 10, 12, so the next term is 30 + 12 = 42.
Question 6: Some managers are leaders. All leaders are visionaries. No visionary is a pessimist. Which conclusion follows?
- All managers are visionaries
- No manager is a pessimist
- Some managers are not pessimists (Correct answer)
- All visionaries are managers
Correct answer: Some managers are not pessimists
Some managers are leaders → those managers are visionaries → those visionaries are not pessimists, so some managers are not pessimists.
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°.
Mettl Logical Reasoning 2
All squares are rectangles.
Some rectangles are rhombuses.
Which conclusion is definitely true?