HBRI - Hogan Business Reasoning Inventory Quantitative Reasoning: Word Problems Questions and Answers

Question 1

A sales team of 5 members was projected to bring in $250,000 in revenue for the quarter.
At the end of the quarter, the actual revenue was $310,000.
However, two of the original team members had left mid-quarter and were not replaced.
What was the percentage increase in revenue per salesperson compared to the original projection?

Accepted Answer

75

Answer

50

Answer

60

Answer

80

Question 2

A company's marketing budget is allocated as follows: 40% for digital advertising, 30% for events, 20% for print media, and 10% for public relations. If the total budget is $500,000, and the company decides to decrease the print media budget by 25% and reallocate those funds to digital advertising, what will be the new budget for digital advertising?

Accepted Answer

$225,000

Answer

$200,000

Answer

$250,000

Answer

$275,000

Question 3

A manufacturing plant produces 150 units per hour. The plant operates in two 8-hour shifts per day. If the cost to produce one unit is $12, and the company wants to achieve a daily production cost savings of $3,600, how many units per hour must the plant produce to meet this goal, assuming all other factors remain constant?

Accepted Answer

384

Answer

320

Answer

352

Answer

400

Question 4

A project manager estimates a project will take 4 programmers 120 hours each to complete. The total budgeted cost for their time is $48,000. Due to a deadline change, the project must be completed in a timeframe that only allows for 96 hours of work per programmer. Which of the following must happen to complete the project on time without increasing the total budgeted cost?

Accepted Answer

Hire one additional programmer at the same hourly rate.

Answer

Hire one additional programmer at a lower hourly rate.

Answer

Increase the hourly rate for the existing programmers.

Answer

Reduce the project scope by 20%.

Question 5

A retail store purchases jackets for $45 each and sells them for $75. During a sale, the remaining 50 jackets are discounted by 20%. What is the total profit earned on these 50 jackets if they all sell at the discounted price?

Accepted Answer

$750

Answer

$900

Answer

$1,500

Answer

$3,000

Question 6

A subscription service has 12,000 users. 65% of users are on the 'Basic' plan and the rest are on the 'Premium' plan. The company wants to upsell users so that at least 40% of the total user base is on the 'Premium' plan. What is the minimum number of 'Basic' users that must be converted to 'Premium'?

Accepted Answer

600

Answer

4,200

Answer

1,200

Answer

4,800