Mettl Quantitative Aptitude and Reasoning 3 — Questions and Answers
Question 1: If all Bloops are Razzles and all Razzles are Lazzles, which statement must be true?
- All Lazzles are Bloops
- All Bloops are Lazzles (Correct answer)
- No Bloops are Lazzles
- Some Razzles are not Lazzles
Correct answer: All Bloops are Lazzles
By transitivity: Bloops → Razzles → Lazzles, so all Bloops are Lazzles.
Question 2: A shopkeeper marks goods 40% above cost price and gives a 20% discount. His profit percentage is:
- 10%
- 12% (Correct answer)
- 14%
- 20%
Correct answer: 12%
SP = 1.4 × 0.8 × CP = 1.12 CP, giving a 12% profit.
Question 3: Find the missing number: 4, 9, 25, 49, 121, __
- 144
- 169 (Correct answer)
- 196
- 225
Correct answer: 169
The series is squares of prime numbers (2², 3², 5², 7², 11²), so next is 13² = 169.
Question 4: Two numbers are in the ratio 3:5. If 8 is added to each, the ratio becomes 2:3. What is the smaller number?
- 16
- 20
- 24 (Correct answer)
- 30
Correct answer: 24
Let numbers be 3x and 5x; (3x+8)/(5x+8) = 2/3 → x = 8; smaller = 24.
Question 5: A person walks at 4 km/h for the first half of a journey and at 6 km/h for the second half. What is the average speed for the entire journey?
- 4.5 km/h
- 4.8 km/h (Correct answer)
- 5.0 km/h
- 5.2 km/h
Correct answer: 4.8 km/h
Average speed for equal distances = 2×4×6/(4+6) = 48/10 = 4.8 km/h.
Question 6: In a class, 60% of students passed Math, 70% passed Science, and 40% passed both. What percentage failed both?
- 5%
- 10% (Correct answer)
- 15%
- 20%
Correct answer: 10%
Passed at least one = 60+70−40 = 90%; failed both = 100−90 = 10%.
Question 7: Statements: All pens are books. Some books are pencils. Conclusion I: Some pens are pencils. Conclusion II: Some pencils are pens. Which is correct?
- Only I follows
- Only II follows
- Neither follows (Correct answer)
- Both follow
Correct answer: Neither follows
Books that are pencils may not overlap with books that are pens, so neither conclusion necessarily follows.
Mettl Quantitative Aptitude and Reasoning 3
If all Bloops are Razzles and all Razzles are Lazzles, which statement must be true?