Mettl Problem-Solving & Logical Reasoning 4 — Questions and Answers
Question 1: Arrange the steps to solve a problem logically: (1) Evaluate solutions, (2) Define the problem, (3) Implement the best solution, (4) Generate possible solutions.
- 2, 4, 1, 3 (Correct answer)
- 1, 2, 3, 4
- 4, 2, 1, 3
- 2, 1, 4, 3
Correct answer: 2, 4, 1, 3
The logical order is: define the problem, generate solutions, evaluate them, then implement the best one.
Question 2: A rectangle's length is twice its width. If the perimeter is 60 cm, what is the area?
- 150 cm²
- 200 cm² (Correct answer)
- 100 cm²
- 300 cm²
Correct answer: 200 cm²
Width = 10, length = 20; perimeter = 2(10+20) = 60; area = 10 × 20 = 200 cm².
Question 3: Odd one out: January, March, June, August, October
- January
- March
- June (Correct answer)
- August
Correct answer: June
June has 30 days; all other months listed have 31 days.
Question 4: A statement reads: 'Students who study hard always pass.' Tom failed. What can you conclude?
- Tom did not study hard (Correct answer)
- Tom studied hard
- The statement is false
- Nothing can be concluded
Correct answer: Tom did not study hard
By contrapositive, if a student did not pass, they did not study hard.
Question 5: How many squares are in a 3×3 grid (counting all sizes)?
- 9
- 12
- 14 (Correct answer)
- 16
Correct answer: 14
There are nine 1×1, four 2×2, and one 3×3 square, totaling 14.
Question 6: Two workers can complete a job in 6 days. One worker leaves after 2 days. How many more days for the remaining worker to finish alone (working at half the combined rate)?
- 6
- 7
- 8 (Correct answer)
- 10
Correct answer: 8
Together they do 1/6/day; in 2 days they do 1/3; one worker does 1/12/day and needs 8 more days for the remaining 2/3.
Question 7: Which logical fallacy is this? 'We can't trust John's business advice because he once filed for bankruptcy.'
- Straw man
- Ad hominem (Correct answer)
- False dichotomy
- Slippery slope
Correct answer: Ad hominem
Attacking John's character or past rather than his actual advice is an ad hominem fallacy.
Mettl Problem-Solving & Logical Reasoning 4
Arrange the steps to solve a problem logically: (1) Evaluate solutions, (2) Define the problem, (3) Implement the best solution, (4) Generate possible solutions.