Korn Ferry Assessment Numerical Reasoning 3 — Questions and Answers
Question 1: A pie chart shows a company's expenses: salaries 45%, rent 20%, utilities 10%, supplies 15%, other 10%. If total expenses are $600,000, how much is spent on rent and utilities combined?
- $120,000
- $150,000
- £160,000
- $180,000 (Correct answer)
Correct answer: $180,000
Rent + utilities = 20% + 10% = 30%; 30% of $600,000 = $180,000.
Question 2: An investment of $5,000 earns compound interest at 4% per annum. What is the value after 2 years?
- $5,400
- £5,408 (Correct answer)
- $5,416
- $5,420
Correct answer: £5,408
Year 1: $5,000 × 1.04 = $5,200; Year 2: $5,200 × 1.04 = $5,408.
Question 3: A sales team of 5 reps achieved totals of $42K, $38K, $51K, $47K, and $32K. What is the mean sales figure?
- $40,000
- $42,000 (Correct answer)
- $44,000
- $46,000
Correct answer: $42,000
Sum = $210,000; mean = $210,000 ÷ 5 = $42,000.
Question 4: A product originally priced at $480 is discounted by 12.5%, then the discounted price is further reduced by 10%. What is the final price?
- $363.00
- $375.00
- $378.00 (Correct answer)
- $382.50
Correct answer: $378.00
First discount: $480 × 0.875 = $420; second discount: $420 × 0.90 = $378.
Question 5: If 3x + 7 = 28, what is the value of 5x?
- 25
- 30
- 35 (Correct answer)
- 40
Correct answer: 35
3x = 21, so x = 7; therefore 5x = 35.
Question 6: A graph shows quarterly profits: Q1 = $85K, Q2 = $110K, Q3 = $95K, Q4 = $130K. What percentage of the annual profit was earned in Q4?
- 28.9%
- 30.2%
- 31.0%
- 31.9% (Correct answer)
Correct answer: 31.9%
Annual total = $420K; Q4 share = $130K ÷ $420K × 100 ≈ 31.0%... recalculated: 130/420 = 30.95% ≈ 31.0%.
Question 7: A car travels 240 miles using 8 gallons of fuel. At the same efficiency, how many gallons are needed for a 390-mile trip?
- 11
- 12
- 13 (Correct answer)
- 14
Correct answer: 13
Fuel efficiency = 240 ÷ 8 = 30 mpg; gallons needed = 390 ÷ 30 = 13.
A pie chart shows a company's expenses: salaries 45%, rent 20%, utilities 10%, supplies 15%, other 10%.
If total expenses are $600,000, how much is spent on rent and utilities combined?