Crossover Aptitude Numerical Reasoning: Word Problems Questions and Answers

Question 1

A startup company's user base grew from 1,500 users to 7,500 users over a two-year period. Which of the following represents the total percentage increase in the user base?

Accepted Answer

400%

Answer

500%

Answer

600%

Answer

300%

Question 2

A data processing job can be completed by 3 senior developers in 8 hours. If the same job must be completed in just 5 hours, how many senior developers would be needed, assuming each developer works at the same constant rate?

Accepted Answer

4.8 developers, so 5 are needed

Answer

4 developers

Answer

6 developers

Answer

5.2 developers, so 6 are needed

Question 3

A remote team consists of engineers, designers, and project managers in a ratio of 5:2:3. If there are a total of 60 team members, how many more engineers are there than project managers?

Accepted Answer

15

Answer

30

Answer

12

Answer

18

Question 4

A software company's stock was valued at $120 per share. After a successful product launch, the value increased by 25%. A month later, due to market fluctuations, the new value decreased by 10%. What is the final value of the stock per share?

Accepted Answer

$135.00

Answer

$138.00

Answer

$132.50

Answer

$125.00

Question 5

A cloud storage provider offers two plans. Plan A costs a flat fee of $50 per month plus $0.10 per gigabyte of data stored. Plan B costs a flat fee of $30 per month plus $0.15 per gigabyte. For what amount of data storage would the monthly cost of both plans be exactly the same?

Accepted Answer

400 GB

Answer

350 GB

Answer

450 GB

Answer

500 GB

Question 6

A marketing team is creating a solution by mixing two different advertising strategies. Strategy A has a conversion rate of 5% and Strategy B has a conversion rate of 12%. They need to create a final campaign of 1400 exposures with a combined conversion rate of 8%. How many exposures must come from Strategy A?

Accepted Answer

800

Answer

600

Answer

700

Answer

900