Mettl Problem-Solving & Logical Reasoning 5 — Questions and Answers
Question 1: A bag has 4 red and 6 blue balls. What is the probability of drawing 2 red balls in a row without replacement?
- 2/15 (Correct answer)
- 4/25
- 1/6
- 8/45
Correct answer: 2/15
P = (4/10) × (3/9) = 12/90 = 2/15.
Question 2: Which of the following best describes deductive reasoning?
- Drawing general conclusions from specific observations
- Applying general rules to reach specific conclusions (Correct answer)
- Making assumptions based on intuition
- Generating hypotheses from experiments
Correct answer: Applying general rules to reach specific conclusions
Deductive reasoning moves from general premises to specific, logically necessary conclusions.
Question 3: A sequence of letters: A, C, F, J, O, __. What comes next?
- T
- U (Correct answer)
- V
- W
Correct answer: U
Gaps increase by 1: +2, +3, +4, +5, +6; O is the 15th letter, so O+6 = U (21st).
Question 4: If 6 is to 36 as 7 is to __?
- 42
- 47
- 49 (Correct answer)
- 56
Correct answer: 49
6² = 36, so 7² = 49.
Question 5: A manager must assign tasks 1–4 to employees A, B, C, D with one task each. B cannot do task 2 or 3. A must do task 1. How many valid assignments remain?
- 2 (Correct answer)
- 3
- 4
- 6
Correct answer: 2
A=task 1, B can only take task 4, leaving C and D for tasks 2 and 3 — 2 valid arrangements.
Question 6: Which of the following weakens this argument? 'Employees who exercise regularly have higher productivity, so the company should build a gym.'
- Exercise improves mood
- Existing gyms nearby are unused by employees (Correct answer)
- Productivity metrics are hard to measure
- Gyms can reduce sick days
Correct answer: Existing gyms nearby are unused by employees
If nearby gyms are already unused, adding one is unlikely to increase exercise or productivity.
Question 7: In a class of 30, 18 play soccer, 12 play basketball, and 5 play both. How many play neither?
- 3
- 5 (Correct answer)
- 7
- 10
Correct answer: 5
Using inclusion-exclusion: 18 + 12 − 5 = 25 play at least one; 30 − 25 = 5 play neither.
Mettl Problem-Solving & Logical Reasoning 5
A bag has 4 red and 6 blue balls.
What is the probability of drawing 2 red balls in a row without replacement?