RBC Assessment: Numerical Reasoning 3

Question 1

A bar chart shows employee headcount: 2021=320, 2022=344, 2023=371, 2024=400. What is the approximate average annual growth rate?

Accepted Answer

7.7%

Answer

Total growth over 3 years = (400−320)/320 = 25%; average ≈ 25%/3 ≈ 7.7% per year (arithmetic approximation).

Question 2

A client's net worth is $250,000. If 40% is in equities, 35% in bonds, and the rest in cash, how much is held in cash?

Accepted Answer

$62,500

Answer

Cash = 100% − 40% − 35% = 25%; 25% × $250,000 = $62,500.

Question 3

Operating costs rose from $1.2M to $1.5M while revenue stayed at $4.0M. By how many percentage points did the operating cost ratio change?

Accepted Answer

7.5 pp

Answer

Old ratio = 1.2/4.0 = 30%; new ratio = 1.5/4.0 = 37.5%; change = 7.5 percentage points.

Question 4

An index fund returned −8% in Year 1 and +15% in Year 2. What is the net return on a $10,000 investment after both years?

Accepted Answer

$580

Answer

After Year 1: $10,000 × 0.92 = $9,200; after Year 2: $9,200 × 1.15 = $10,580; net gain = $580.

Question 5

A pie chart shows loan types: Mortgage 55%, Auto 20%, Personal 15%, Student 10%. If total loans = $80M, what is the combined value of Auto and Personal loans?

Accepted Answer

$28M

Answer

Auto + Personal = (20% + 15%) × $80M = 35% × $80M = $28M.

RBC - Online Assessment Practice Test

RBC - Online Assessment Practice Test

RBC Assessment: Numerical Reasoning 3