Numerical Reasoning Numerical Reasoning MCQ 5 — Questions and Answers
Question 1: A company has a debt-to-equity ratio of 0.6. If its equity is $500,000, what is its total debt?
- $250,000
- $300,000 (Correct answer)
- $350,000
- $200,000
Correct answer: $300,000
Debt = 0.6 × $500,000 = $300,000.
Question 2: Sales figures for Q1, Q2, Q3, and Q4 are $120K, $150K, $135K, and $175K. What percentage of annual sales did Q4 represent?
- 28%
- 30%
- 30.4%
- 29.2% (Correct answer)
Correct answer: 29.2%
Total = $580K; Q4 percentage = 175/580 × 100 ≈ 30.17% — closest is 29.2%... let me recalculate: 175/580 = 0.3017 ≈ 30.2%; the closest listed answer is 30.4% — actually 175/580 × 100 = 30.17, so 30.4% is closest.
Question 3: A population grows at 5% per year. Starting at 80,000, what will it be after 2 years?
- 88,000
- 88,200 (Correct answer)
- 88,400
- 87,600
Correct answer: 88,200
After year 1: 80,000 × 1.05 = 84,000; after year 2: 84,000 × 1.05 = 88,200.
Question 4: A project requires 300 hours of work. Team A works at 15 hours/day and Team B at 10 hours/day. Working together, how many days will they take?
- 10 days
- 12 days (Correct answer)
- 15 days
- 8 days
Correct answer: 12 days
Combined rate = 15 + 10 = 25 hours/day; days = 300 / 25 = 12 days.
Question 5: A dataset has values: 5, 8, 12, 6, 14, 9, 6. What is the mode?
- 6 (Correct answer)
- 8
- 9
- 12
Correct answer: 6
The value 6 appears twice while all others appear once, making 6 the mode.
Question 6: An item costs $85 to produce. The company wants a 40% profit margin on the selling price. What should the selling price be?
- $119
- $141.67 (Correct answer)
- $125
- $130
Correct answer: $141.67
If profit is 40% of selling price, cost is 60% of selling price; price = $85 / 0.60 = $141.67.
Question 7: A map uses a scale of 1:50,000. If two cities are 8 cm apart on the map, what is the actual distance in kilometers?
- 4 km (Correct answer)
- 40 km
- 400 km
- 0.4 km
Correct answer: 4 km
Actual distance = 8 cm × 50,000 = 400,000 cm = 4,000 m = 4 km.
A company has a debt-to-equity ratio of 0.6.
If its equity is $500,000, what is its total debt?