Crossover Aptitude Test Numerical Reasoning: Word Problems 4

Question 1

A freelancer charges $75 per hour for the first 8 hours and $110 per hour for overtime. If she works 11 hours in a day, what is her total earnings?

Accepted Answer

$930

Answer

Regular pay = 8 × $75 = $600; overtime = 3 × $110 = $330; total = $930.

Question 2

Two pipes fill a tank: Pipe A fills it in 6 hours alone and Pipe B fills it in 12 hours alone. How long does it take both pipes working together?

Accepted Answer

4 hours

Answer

Combined rate = 1/6 + 1/12 = 3/12 = 1/4 tank per hour; time = 4 hours.

Question 3

A city has a population of 450,000. If it grows at 2% per year, what will the population be after 1 year?

Accepted Answer

459,000

Answer

Growth = 2% × 450,000 = 9,000; new population = 450,000 + 9,000 = 459,000.

Question 4

A store marks up wholesale items by 40% to set the retail price. If a product's wholesale cost is $65, what is its retail price?

Accepted Answer

$91.00

Answer

Markup = 40% × $65 = $26; retail price = $65 + $26 = $91.

Question 5

A car depreciates in value by 15% each year. If it is worth $24,000 now, what will it be worth after 2 years?

Accepted Answer

$17,340

Answer

After year 1: $24,000 × 0.85 = $20,400; after year 2: $20,400 × 0.85 = $17,340.

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