NYC Mathematical Reasoning and Number Facility 3

Question 1

A city block has 24 buildings. Exactly 1/3 have fire escapes and exactly 1/4 have sprinkler systems (no building has both). How many buildings have neither feature?

Accepted Answer

10

Answer

Fire escapes = 8; sprinklers = 6; neither = 24 − 8 − 6 = 10.

Question 2

An elevator has a weight limit of 2,000 lbs. Eleven people with an average weight of 165 lbs board, along with a supply cart weighing 250 lbs. By how many pounds is the weight limit exceeded?

Accepted Answer

65 lbs

Answer

Total = (11 × 165) + 250 = 1,815 + 250 = 2,065 lbs; 2,065 − 2,000 = 65 lbs over the limit.

Question 3

A city agency must reduce its 840-person workforce by 15% due to budget cuts. How many employees remain after the reduction?

Accepted Answer

714

Answer

Reduction = 0.15 × 840 = 126; remaining = 840 − 126 = 714.

Question 4

A road crew paves 0.75 miles per day. A 12-mile road must be completed working 5 days per week. How many full weeks will the project require?

Accepted Answer

4 weeks

Answer

Weekly output = 0.75 × 5 = 3.75 miles; 12 ÷ 3.75 = 3.2 weeks → must round up to 4 full weeks.

Question 5

A transit card charges $2.90 per ride. A monthly unlimited pass costs $132. A commuter makes 2 rides per day for 22 working days. Which option costs less, and by how much?

Accepted Answer

Pay-per-ride, by $4.40

Answer

Pay-per-ride = 44 × $2.90 = $127.60; pass = $132.00; pay-per-ride saves $132.00 − $127.60 = $4.40.

NYC - Civil Service Exam Practice Test

NYC - Civil Service Exam Practice Test

NYC Mathematical Reasoning and Number Facility 3