Revelian Test Numerical Reasoning Word Problems 4

Question 1

A store sells apples at 3 for $1.20 and oranges at 4 for $2.00. What is the total cost of 9 apples and 12 oranges?

Accepted Answer

$9.60

Answer

Apples: (9÷3) × $1.20 = $3.60; oranges: (12÷4) × $2.00 = $6.00; total = $9.60.

Question 2

A population of 50,000 grows at 2% per year (compounded). What is the population after 2 years?

Accepted Answer

52,020

Answer

Year 1: 50,000 × 1.02 = 51,000; Year 2: 51,000 × 1.02 = 52,020.

Question 3

A contractor charges $85/hour for labor and $1,200 for materials. If a job costs $2,945 total, how many hours of labor were billed?

Accepted Answer

20.5 hours

Answer

Labor cost = $2,945 − $1,200 = $1,745; hours = $1,745 ÷ $85 = 20.5 hours.

Question 4

A train departs at 9:15 AM and arrives at 1:45 PM covering 285 miles. What is its average speed?

Accepted Answer

63.3 mph

Answer

Travel time = 4.5 hours; speed = 285 ÷ 4.5 = 63.3 mph.

Question 5

An employee's salary increased by 12% to $56,000. What was the salary before the increase?

Accepted Answer

$50,000

Answer

Original × 1.12 = $56,000; original = $56,000 ÷ 1.12 = $50,000.

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