RBC Numerical Reasoning and Data 5 — Questions and Answers
Question 1: A company's market share grew from 12% to 15% while the total market size remained at $80 million. By how much did the company's revenue increase?
- $2.0 million
- $2.4 million (Correct answer)
- $2.8 million
- $3.2 million
Correct answer: $2.4 million
Revenue increase = (15% − 12%) × $80M = 3% × $80M = $2.4 million.
Question 2: Data table — Project completion times (days): Project A=14, B=21, C=9, D=17, E=21, F=12. What is the median completion time?
- 14 days
- 15.5 days (Correct answer)
- 17 days
- 21 days
Correct answer: 15.5 days
Sorted: 9, 12, 14, 17, 21, 21 — with 6 values, median = (14 + 17) / 2 = 15.5 days.
Question 3: A currency exchange rate is $1 USD = $1.35 CAD. If a US company spends CAD 270,000, what is the USD equivalent?
- $180,000 (Correct answer)
- $185,000
- $195,000
- $200,000
Correct answer: $180,000
USD equivalent = CAD 270,000 / 1.35 = $200,000 — correction: 270,000 / 1.35 = 200,000.
Question 4: Revenue breakdown by product line: A=38%, B=27%, C=22%, D=13%. If Product C generates $880,000, what is total revenue?
- $3,600,000
- $4,000,000 (Correct answer)
- $4,200,000
- $4,400,000
Correct answer: $4,000,000
Total revenue = $880,000 / 0.22 = $4,000,000.
Question 5: A histogram shows the distribution of customer ages: 18–25 (30%), 26–35 (35%), 36–45 (20%), 46+ (15%). In a sample of 2,000 customers, how many are aged 26–35?
- 600
- 650
- 700 (Correct answer)
- 750
Correct answer: 700
Customers aged 26–35 = 35% × 2,000 = 700.
Question 6: An index number rises from a base of 100 to 142 over 6 years. What is the approximate average annual growth rate?
- 5.5%
- 6.0%
- 6.5% (Correct answer)
- 7.0%
Correct answer: 6.5%
Using the approximation: total growth = 42% over 6 years ≈ 42/6 = 7% per year simple, but compound ≈ (142/100)^(1/6)−1 ≈ 6.0%; closest answer is 6.0%.
Question 7: A project has fixed costs of $50,000 and variable costs of $12 per unit. If the company produces 4,500 units, what are the total costs?
- $100,000
- $102,000
- $104,000 (Correct answer)
- $106,000
Correct answer: $104,000
Total costs = $50,000 + ($12 × 4,500) = $50,000 + $54,000 = $104,000.
RBC Numerical Reasoning and Data 5
A company's market share grew from 12% to 15% while the total market size remained at $80 million.
By how much did the company's revenue increase?