Korn Ferry Assessment Numerical Reasoning Questions and Answers — Questions and Answers
Question 1: The table below shows the quarterly sales revenue for two products. What was the percentage increase in sales revenue for Product B from Q1 to Q2?
| Product | Q1 Revenue | Q2 Revenue |
|-----------|-------------|-------------|
| Product A | $120,000 | $135,000 |
| Product B | $80,000 | $104,000 |
- 23.1%
- 30.0% (Correct answer)
- 24,000%
- 130.0%
Correct answer: 30.0%
To calculate the percentage increase, use the formula: ((New Value - Old Value) / Old Value) * 100. For Product B, this is (($104,000 - $80,000) / $80,000) * 100. The difference is $24,000. So, ($24,000 / $80,000) * 100 = 0.3 * 100 = 30.0%.
Question 2: A factory operates three shifts. The number of units produced by each shift on a particular day is shown in the table below.
| Shift | Units Produced |
|---------|----------------|
| Morning | 1,800 |
| Evening | 1,500 |
| Night | 1,200 |
What is the ratio of units produced by the Morning shift to the Night shift, in its simplest form?
- 2:3
- 5:4
- 3:2 (Correct answer)
- 6:5
Correct answer: 3:2
The ratio of Morning shift units to Night shift units is 1,800 to 1,200, or 1800:1200. To simplify the ratio, find the greatest common divisor. Both numbers can be divided by 600. 1800 / 600 = 3. 1200 / 600 = 2. Therefore, the simplified ratio is 3:2.
Question 3: The table below shows the total project costs, broken down by category, for three different initiatives.
| Project | Materials Cost | Labor Cost | Overhead Cost |
|---------|----------------|------------|---------------|
| Phoenix | $45,000 | $80,000 | $25,000 |
| Orion | $60,000 | $65,000 | $20,000 |
| Gemini | $50,000 | $75,000 | $25,000 |
Based on the data provided, which of the following statements is correct?
- Project Orion has the lowest total cost.
- The combined overhead cost for all three projects is $60,000.
- Labor Cost represents more than 50% of the total cost for Project Phoenix.
- Project Gemini has the highest total cost. (Correct answer)
Correct answer: Project Gemini has the highest total cost.
First, calculate the total cost for each project:
- Phoenix Total: $45,000 + $80,000 + $25,000 = $150,000
- Orion Total: $60,000 + $65,000 + $20,000 = $145,000
- Gemini Total: $50,000 + $75,000 + $25,000 = $150,000
Evaluating the options:
A is incorrect (Orion is lowest, but Gemini and Phoenix are highest, not Gemini alone).
B is incorrect ($25k + $20k + $25k = $70k).
C is incorrect ($80k / $150k = 53.3%).
D is correct as both Project Phoenix and Project Gemini have the highest total cost of $150,000.
Question 4: The table displays the annual revenue for a company's international divisions in their local currencies. Using the provided exchange rates, what was the combined total revenue of the UK and Japan divisions in US Dollars (USD)?
| Division | Annual Revenue |
|----------|----------------|
| UK | £400,000 |
| France | €520,000 |
| Japan | ¥75,000,000 |
**Exchange Rates:**
- £1 = $1.25
- €1 = $1.08
- ¥100 = $0.68
- $1,010,000 (Correct answer)
- $910,000
- $1,063,600
- $554,400
Correct answer: $1,010,000
First, convert the revenue for the UK and Japan divisions to USD separately.
- UK Revenue in USD: £400,000 * $1.25/£ = $500,000.
- Japan Revenue in USD: Since ¥100 = $0.68, first find the rate per yen: $0.68 / 100 = $0.0068 per yen. Then, ¥75,000,000 * $0.0068/¥ = $510,000.
- Combined Total in USD: $500,000 (UK) + $510,000 (Japan) = $1,010,000.
Question 5: A company's energy consumption for two facilities is detailed below for the first half of the year. What was the average combined monthly energy consumption (in kWh) for both facilities during this period?
| Facility | Q1 Consumption (kWh) | Q2 Consumption (kWh) |
|----------|----------------------|----------------------|
| Plant A | 90,000 | 110,000 |
| Plant B | 120,000 | 100,000 |
- 105,000 kWh
- 420,000 kWh
- 210,000 kWh
- 70,000 kWh (Correct answer)
Correct answer: 70,000 kWh
1. Find the total consumption for each plant for the half-year: Plant A = 90,000 + 110,000 = 200,000 kWh. Plant B = 120,000 + 100,000 = 220,000 kWh.
2. Find the combined total consumption for both plants: 200,000 + 220,000 = 420,000 kWh.
3. The period is the first half of the year (Q1 + Q2), which is 6 months.
4. Calculate the average monthly consumption: 420,000 kWh / 6 months = 70,000 kWh/month.
Question 6: The graph shows the number of support tickets received per month. If the number of tickets in June is 15% lower than the number of tickets in May, how many tickets were received in June?
**Support Tickets Received**
- January: 300
- February: 350
- March: 400
- April: 450
- May: 500
- 75
- 575
- 425 (Correct answer)
- 485
Correct answer: 425
First, identify the number of tickets in May, which is 500. A 15% decrease needs to be calculated.
1. Calculate the decrease amount: 500 * 15% = 500 * 0.15 = 75 tickets.
2. Subtract the decrease from the original amount: 500 - 75 = 425 tickets.
Alternatively, a 15% decrease means the new value is 85% of the original (100% - 15%). So, 500 * 0.85 = 425 tickets.
