RBC Assessment: Numerical Reasoning 5 — Questions and Answers
Question 1: A client invests $6,000 at 6% compounded annually. What is the value after 2 years?
- $6,720.00
- $7,080.00
- $6,741.60 (Correct answer)
- $7,200.00
Correct answer: $6,741.60
Value = $6,000 × (1.06)² = $6,000 × 1.1236 = $6,741.60.
Question 2: A scatter plot shows that for every $1,000 increase in income, savings increase by $150. If a client earns $65,000 and the base savings at $50,000 income is $2,000, what are their estimated savings?
- $4,250 (Correct answer)
- $3,500
- $4,000
- $3,750
Correct answer: $4,250
Income increase = $15,000; additional savings = 15 × $150 = $2,250; total = $2,000 + $2,250 = $4,250.
Question 3: Total assets are $1.8M and total liabilities are $1.2M. What is the debt-to-equity ratio?
- 0.5
- 2.0 (Correct answer)
- 1.5
- 0.67
Correct answer: 2.0
Equity = Assets − Liabilities = $0.6M; Debt-to-Equity = $1.2M / $0.6M = 2.0.
Question 4: A branch's revenue decreased from $4.5M to $3.87M. What is the percentage decrease, rounded to the nearest whole number?
- 12%
- 14% (Correct answer)
- 16%
- 18%
Correct answer: 14%
Decrease = (4.5 − 3.87) / 4.5 × 100 = 0.63 / 4.5 × 100 = 14%.
Question 5: A table shows account balances across 4 product types with averages: Chequing=$2,100, Savings=$8,400, TFSA=$15,600, RRSP=$42,000. If a client holds all four, what is the combined average balance?
- $17,025 (Correct answer)
- $16,800
- $17,250
- $18,000
Correct answer: $17,025
Combined average = (2,100 + 8,400 + 15,600 + 42,000) / 4 = 68,100 / 4 = $17,025.
Question 6: A graph shows credit card spending: groceries 30%, dining 22%, travel 18%, retail 15%, other 15%. On a $3,600 monthly spend, how much more is spent on groceries than travel?
- $360
- $432 (Correct answer)
- $504
- $288
Correct answer: $432
Groceries = 30% × $3,600 = $1,080; Travel = 18% × $3,600 = $648; difference = $432.
Question 7: If 3 analysts each review 45 files in 5 days, how many files would 5 analysts review in 3 days at the same rate?
- 81
- 90
- 75
- 135 (Correct answer)
Correct answer: 135
Rate = 45/5 = 9 files per analyst per day; 5 analysts × 3 days × 9 = 135 files.
RBC Assessment: Numerical Reasoning 5
A client invests $6,000 at 6% compounded annually.
What is the value after 2 years?