Crossover Aptitude Test Numerical Reasoning: Word Problems 4 — Questions and Answers
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?
- $900
- $930 (Correct answer)
- $930
- $1,080
Correct answer: $930
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?
- 3 hours
- 4 hours (Correct answer)
- 5 hours
- 6 hours
Correct answer: 4 hours
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?
- 459,000 (Correct answer)
- $452,000
- 460,000
- 463,000
Correct answer: 459,000
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?
- $85.00
- $90.00
- $91.00 (Correct answer)
- $95.00
Correct answer: $91.00
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?
- $17,280
- $17,340 (Correct answer)
- $18,000
- $16,320
Correct answer: $17,340
After year 1: $24,000 × 0.85 = $20,400; after year 2: $20,400 × 0.85 = $17,340.
Question 6: A batch of 500 items is produced and 4% are defective. How many non-defective items are there?
- 470
- 480 (Correct answer)
- 490
- 496
Correct answer: 480
Defective = 4% × 500 = 20; non-defective = 500 − 20 = 480.
Question 7: A project requires 6 engineers working 8 hours a day for 10 days. The deadline is moved up by 2 days, but the number of hours per day stays the same. How many engineers are now needed?
- 7
- 8 (Correct answer)
- 9
- 10
Correct answer: 8
Total work = 6 × 8 × 10 = 480 engineer-hours; in 8 days: 480 ÷ (8 × 8) = 7.5, rounded up to 8.
Crossover Aptitude Test Numerical Reasoning: Word Problems 4
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?