Revelian Test Numerical Reasoning Word Problems 3 — Questions and Answers
Question 1: A car travels 180 miles in 3 hours. A truck covers the same distance but takes 45 minutes longer. How much faster (in mph) is the car than the truck?
- 8 mph
- 10 mph
- 12 mph (Correct answer)
- 15 mph
Correct answer: 12 mph
Car speed = 60 mph; truck time = 3.75 hrs, speed = 180/3.75 = 48 mph; difference = 12 mph.
Question 2: An office has 48 employees. If 1/3 work remotely and 25% of the remaining employees take a day off, how many employees are in the office?
- 18
- 24 (Correct answer)
- 27
- 30
Correct answer: 24
Remote = 16; on-site = 32; 25% take off = 8; in office = 32 − 8 = 24.
Question 3: A recipe requires 2.5 cups of flour for 24 cookies. How many cups of flour are needed to make 60 cookies?
- 5.5 cups
- 6.0 cups
- 6.25 cups (Correct answer)
- 6.5 cups
Correct answer: 6.25 cups
Rate = 2.5/24 cups per cookie; for 60: (2.5/24) × 60 = 6.25 cups.
Question 4: A phone plan costs $45/month for the first 6 months, then $55/month thereafter. What is the total cost for 18 months?
- $810
- $870
- $900
- $930 (Correct answer)
Correct answer: $930
First 6 months: 6 × $45 = $270; next 12 months: 12 × $55 = $660; total = $930.
Question 5: Two pipes fill a pool together in 4 hours. Pipe A alone fills it in 6 hours. How long does Pipe B alone take to fill the pool?
- 8 hours
- 10 hours
- 12 hours (Correct answer)
- 14 hours
Correct answer: 12 hours
Combined rate = 1/4/hr; Pipe A rate = 1/6/hr; Pipe B = 1/4 − 1/6 = 1/12/hr → 12 hours.
Question 6: A laptop is discounted 20% to $640. What was the original price?
- $768
- $780
- $800 (Correct answer)
- $820
Correct answer: $800
Original × 0.80 = $640; original = $640 ÷ 0.80 = $800.
Question 7: A project requires 240 work-hours. A team of 6 people each work 8 hours per day. How many days will the project take?
- 4 days
- 5 days (Correct answer)
- 6 days
- 8 days
Correct answer: 5 days
Team output = 6 × 8 = 48 work-hours/day; days = 240 ÷ 48 = 5 days.
Revelian Test Numerical Reasoning Word Problems 3
A car travels 180 miles in 3 hours.
A truck covers the same distance but takes 45 minutes longer.
How much faster (in mph) is the car than the truck?