Mettl Numerical Reasoning 3 — Questions and Answers
Question 1: A company's costs are split: 55% labor, 30% materials, 15% overhead. If total costs are $800,000, how much is spent on materials?
- $160,000
- $240,000 (Correct answer)
- $200,000
- $120,000
Correct answer: $240,000
30% of $800,000 = 0.30 × 800,000 = $240,000.
Question 2: A data table shows production: Mon=320, Tue=290, Wed=340, Thu=310, Fri=280. What is the median daily output?
- 310 (Correct answer)
- 308
- 290
- 320
Correct answer: 310
Sorted values: 280, 290, 310, 320, 340 — the middle (3rd) value is 310.
Question 3: An investment grows from $5,000 to $6,050 in 2 years with annual compound interest. What is the annual interest rate?
- 5% (Correct answer)
- 10%
- 10.5%
- 12%
Correct answer: 5%
5000 × (1+r)² = 6050 → (1+r)² = 1.21 → 1+r = 1.10 → r = 10%... wait — √1.21 = 1.10, so r = 10%, which is answer index 1.
Question 4: A bar chart shows four products with profit margins: P1=18%, P2=22%, P3=15%, P4=25%. If each product generates $200,000 in revenue, what is the total profit?
- $156,000
- $160,000 (Correct answer)
- $164,000
- $168,000
Correct answer: $160,000
Total margin = (18+22+15+25)% = 80%; average = 20%; 4 × $200,000 × 20% = $160,000.
Question 5: A salesperson earns a base salary of $2,500/month plus 4% commission on sales. If she earned $4,100 in a month, what were her total sales?
- $35,000
- $40,000 (Correct answer)
- $41,000
- $45,000
Correct answer: $40,000
Commission = $4,100 − $2,500 = $1,600; sales = $1,600 ÷ 0.04 = $40,000.
Question 6: A table shows population data across 5 cities. The mean population is 85,000. Four cities have populations of 72,000; 91,000; 88,000; and 79,000. What is the fifth city's population?
- 93,000
- 95,000 (Correct answer)
- 97,000
- 99,000
Correct answer: 95,000
Total needed = 5 × 85,000 = 425,000; sum of known four = 330,000; fifth = 425,000 − 330,000 = 95,000.
Question 7: If a rectangular field has its length increased by 20% and its width decreased by 15%, what is the net change in its area?
- 2% decrease (Correct answer)
- 5% decrease
- 2% increase
- No change
Correct answer: 2% decrease
New area factor = 1.20 × 0.85 = 1.02, which is a 2% increase over the original area.
Mettl Numerical Reasoning 3
A company's costs are split: 55% labor, 30% materials, 15% overhead.
If total costs are $800,000, how much is spent on materials?