Crossover Aptitude Test Numerical Reasoning: Word Problems 3

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?

Accepted Answer

5 hours 5 minutes

Answer

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?

Accepted Answer

$1,400

Answer

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?

Accepted Answer

$90

Answer

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?

Accepted Answer

30 minutes

Answer

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?

Accepted Answer

8 min 00 sec

Answer

Total seconds = 1,488; per mile = 1,488 ÷ 3.1 ≈ 480 seconds = 8 minutes exactly.

Crossover Aptitude Test Practice Test