Mettl Quantitative Aptitude 5 — Questions and Answers
Question 1: The speed of a boat in still water is 15 km/h. The current speed is 3 km/h. What is the ratio of upstream to downstream speed?
- 2:3 (Correct answer)
- 3:2
- 4:5
- 5:4
Correct answer: 2:3
Upstream = 12 km/h, downstream = 18 km/h; ratio = 12:18 = 2:3.
Question 2: A rectangle has a perimeter of 56 cm. If its length is 3 times its width, what is the area?
- 147 cm² (Correct answer)
- 168 cm²
- 189 cm²
- 126 cm²
Correct answer: 147 cm²
2(l+w)=56 → l+w=28; l=3w → 4w=28 → w=7, l=21; area=21×7=147 cm².
Question 3: A sum of money doubles itself in 8 years at simple interest. What is the annual rate of interest?
- 12.5% (Correct answer)
- 10%
- 15%
- 8%
Correct answer: 12.5%
SI = P in 8 years; P = P×R×8/100 → R = 100/8 = 12.5%.
Question 4: In how many ways can 4 books be arranged on a shelf from a collection of 7 different books?
- 840 (Correct answer)
- 210
- 720
- 35
Correct answer: 840
This is a permutation: P(7,4) = 7!/(7−4)! = 7×6×5×4 = 840.
Question 5: A man spends 30% of his salary on rent, 20% on food, and saves the rest. If he saves $2,100, what is his salary?
- $4,200 (Correct answer)
- $3,500
- $6,000
- $5,000
Correct answer: $4,200
He saves 50% of salary; 0.50 × salary = $2,100 → salary = $4,200.
Question 6: What is the value of (0.125)^(−1/3)?
- 2 (Correct answer)
- 0.5
- 4
- 8
Correct answer: 2
0.125 = 1/8 = 2⁻³; (2⁻³)^(−1/3) = 2^(3/3) = 2¹ = 2.
Question 7: Two numbers are in the ratio 7:5. If their difference is 18, what is the larger number?
- 63 (Correct answer)
- 45
- 54
- 72
Correct answer: 63
7x − 5x = 2x = 18 → x = 9; larger number = 7×9 = 63.
Mettl Quantitative Aptitude 5
The speed of a boat in still water is 15 km/h.
The current speed is 3 km/h.
What is the ratio of upstream to downstream speed?