Crossover Aptitude Test Numerical Reasoning: Word Problems 3 — Questions and Answers
Question 1: A train departs at 8:45 AM and arrives at 1:15 PM. A bus covers the same route but takes 35 minutes longer. How long does the bus journey take?
- 4 hours 35 minutes
- 5 hours
- 5 hours 5 minutes (Correct answer)
- 4 hours 50 minutes
Correct answer: 5 hours 5 minutes
Train duration = 4 hours 30 minutes; bus = 4h 30m + 35m = 5 hours 5 minutes.
Question 2: An investor buys 200 shares at $45 each and later sells them at $52 each. What is the total profit?
- $1,200
- $1,400 (Correct answer)
- $1,500
- $900
Correct answer: $1,400
Profit per share = $52 − $45 = $7; total profit = 200 × $7 = $1,400.
Question 3: A jacket originally priced at $120 is discounted by 25%. What is the sale price?
- $85
- $90 (Correct answer)
- $95
- $80
Correct answer: $90
Discount = 25% × $120 = $30; sale price = $120 − $30 = $90.
Question 4: A tank drains at a rate of 3.5 gallons per minute. How long will it take to drain 105 gallons?
- 25 minutes
- 28 minutes
- 30 minutes (Correct answer)
- 32 minutes
Correct answer: 30 minutes
Time = 105 ÷ 3.5 = 30 minutes.
Question 5: A runner completes a 5K race (3.1 miles) in 24 minutes 48 seconds. What is her average pace per mile?
- 7 min 30 sec
- 8 min 00 sec (Correct answer)
- 8 min 15 sec
- 7 min 45 sec
Correct answer: 8 min 00 sec
Total seconds = 1,488; per mile = 1,488 ÷ 3.1 ≈ 480 seconds = 8 minutes exactly.
Question 6: Office supplies cost $240 for 8 employees. At the same rate, what would supplies cost for 15 employees?
- $400
- $420
- $450 (Correct answer)
- $480
Correct answer: $450
Cost per employee = $240 ÷ 8 = $30; for 15 employees: 15 × $30 = $450.
Question 7: A company's revenue grew from $850,000 to $1,020,000 in one year. What was the percentage increase?
- 15%
- 16%
- 20% (Correct answer)
- 25%
Correct answer: 20%
Increase = $170,000; percentage = (170,000 ÷ 850,000) × 100 = 20%.
Crossover Aptitude Test Numerical Reasoning: Word Problems 3
A train departs at 8:45 AM and arrives at 1:15 PM.
A bus covers the same route but takes 35 minutes longer.
How long does the bus journey take?