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

To find the percentage increase, use the formula: ((New Value - Original Value) / Original Value) * 100. The increase in users is 7,500 - 1,500 = 6,000. Now, calculate the percentage increase relative to the original number: (6,000 / 1,500) * 100 = 4 * 100 = 400%.

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

This is a work-rate problem. The total work can be measured in 'developer-hours'. Total work = 3 developers * 8 hours = 24 developer-hours. To complete this work in 5 hours, we divide the total work by the new time: 24 developer-hours / 5 hours = 4.8 developers. Since you cannot have a fraction of a developer, you must round up to the next whole number, which is 5.

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

The sum of the ratio parts is 5 + 2 + 3 = 10. To find the value of one part, divide the total number of team members by the sum of the ratio parts: 60 / 10 = 6. Now, calculate the number of engineers (5 * 6 = 30) and project managers (3 * 6 = 18). The difference is 30 - 18 = 12. So, there are 12 more engineers than project managers.

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

First, calculate the 25% increase: $120 * 1.25 = $150. Then, calculate the 10% decrease from the new value: $150 * 0.90 = $135. The final value of the stock is $135.00.

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

To solve this, set up an equation where the cost of Plan A equals the cost of Plan B. Let 'x' be the number of gigabytes. The equation is: 50 + 0.10x = 30 + 0.15x. To solve for x, first subtract 30 from both sides: 20 + 0.10x = 0.15x. Then, subtract 0.10x from both sides: 20 = 0.05x. Finally, divide by 0.05: x = 20 / 0.05 = 400. The cost is the same at 400 GB.

Crossover Aptitude Test Practice Test

Crossover Aptitude Test Practice Test

Crossover Aptitude Numerical Reasoning: Word Problems Questions and Answers