Mettl Quantitative Aptitude 4 — Questions and Answers
Question 1: The ratio of boys to girls in a school is 5:4. If there are 360 students total, how many girls are there?
- 160 (Correct answer)
- 200
- 180
- 140
Correct answer: 160
Girls = (4/9) × 360 = 160.
Question 2: A cone has a radius of 7 cm and a height of 24 cm. What is its slant height?
- 25 cm (Correct answer)
- 26 cm
- 23 cm
- 28 cm
Correct answer: 25 cm
Slant height = √(7² + 24²) = √(49 + 576) = √625 = 25 cm.
Question 3: If a number is increased by 25% and then decreased by 20%, what is the net percentage change?
- 0% (Correct answer)
- 5% increase
- 5% decrease
- 10% increase
Correct answer: 0%
Net = 1.25 × 0.80 = 1.00, so there is no net change (0%).
Question 4: A can do a job in 10 days, B in 15 days. They work together for 4 days, then B leaves. How many more days does A need to finish?
- 2 days (Correct answer)
- 3 days
- 4 days
- 1 day
Correct answer: 2 days
Together for 4 days at rate 3/20 per day = 3/5 done; remaining 2/5 at A's rate (1/10) takes 4 more days.
Question 5: The compound interest on $5,000 at 10% per annum for 2 years, compounded annually, is:
- $1,050 (Correct answer)
- $1,000
- $1,100
- $950
Correct answer: $1,050
CI = 5000[(1.1)² − 1] = 5000 × 0.21 = $1,050.
Question 6: How many 3-digit numbers are divisible by 7?
- 128 (Correct answer)
- 127
- 130
- 129
Correct answer: 128
From 105 to 994: count = (994−105)/7 + 1 = 889/7 + 1 = 127 + 1 = 128.
Question 7: If log₂(x) = 5, what is x?
- 32 (Correct answer)
- 10
- 25
- 64
Correct answer: 32
log₂(x) = 5 means x = 2⁵ = 32.
Mettl Quantitative Aptitude 4
The ratio of boys to girls in a school is 5:4.
If there are 360 students total, how many girls are there?