NYC Mathematical Reasoning Problems 3

Question 1

A department budget of $84,000 is divided among 4 units in a ratio of 3:2:2:1. How much does the largest unit receive?

Accepted Answer

$31,500

Answer

Total parts = 8; largest unit = 3/8 × $84,000 = $31,500.

Question 2

An inspector checks 7 buildings per day. At this rate, how many buildings will be inspected in 4 weeks (5 working days per week)?

Accepted Answer

140

Answer

4 weeks × 5 days = 20 days; 20 × 7 = 140 buildings.

Question 3

If a city employee's salary increased from $48,000 to $52,800, what was the percentage increase?

Accepted Answer

10%

Answer

Increase = $4,800; $4,800 ÷ $48,000 × 100 = 10%.

Question 4

A rectangular park is 320 meters long and 175 meters wide. What is the perimeter of the park?

Accepted Answer

990 m

Answer

Perimeter = 2 × (320 + 175) = 2 × 495 = 990 meters.

Question 5

A firefighter used 2,400 liters of water to extinguish a fire. If the truck's tank holds 3,200 liters, what fraction of the tank remains?

Accepted Answer

1/4

Answer

Remaining = 3,200 − 2,400 = 800 liters; 800/3,200 = 1/4.

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