NYC Mathematical Reasoning Problems 4

Question 1

A city vehicle used 18 gallons of fuel to travel 414 miles. What was the vehicle's fuel efficiency in miles per gallon?

Accepted Answer

23 mpg

Answer

414 ÷ 18 = 23 miles per gallon.

Question 2

A department receives 560 applications. After screening, 35% are rejected. How many applications advance?

Accepted Answer

364

Answer

35% of 560 = 196 rejected; 560 − 196 = 364 advance.

Question 3

If overtime pay is 1.5 times the regular hourly rate of $22.40, what is the overtime rate?

Accepted Answer

$33.60

Answer

$22.40 × 1.5 = $33.60 per hour overtime.

Question 4

A rectangular office is 24 feet long and 15 feet wide. New carpet costs $4.50 per square foot. What is the total carpet cost?

Accepted Answer

$1,620

Answer

Area = 24 × 15 = 360 sq ft; 360 × $4.50 = $1,620.

Question 5

In a group of 180 civil service applicants, the ratio of male to female applicants is 5:4. How many female applicants are there?

Accepted Answer

80

Answer

Total parts = 9; female = 4/9 × 180 = 80.

NYC - Civil Service Exam Practice Test