FREE NYC Civil Service Mathematical Reasoning Problems Questions and Answers

Question 1

A city's sanitation department has two models of street sweepers.
Model A can sweep a designated 5-mile route in 3 hours.
Model B can sweep the same route in 2 hours.
If both models are used simultaneously, how long will it take to sweep the entire 5-mile route?

Accepted Answer

1.2 hours

Answer

2.5 hours

Answer

5 hours

Answer

1.5 hours

Question 2

A municipal budget of $2,400,000 is allocated to three departments: Police, Fire, and Public Works, in the ratio of 5:3:2, respectively. How much money is allocated to the Public Works department?

Accepted Answer

$480,000

Answer

$1,200,000

Answer

$720,000

Answer

$240,000

Question 3

A city parks department is planning a new rectangular playground. The length of the playground is set at 90 feet. If the total area of the playground must be 5,400 square feet, what is the width of the playground?

Accepted Answer

60 feet

Answer

50 feet

Answer

48 feet

Answer

75 feet

Question 4

A city clerk issued 45 permits on Monday, 62 on Tuesday, 51 on Wednesday, and 38 on Thursday. To achieve an average of 55 permits issued per day over a five-day work week, how many permits must the clerk issue on Friday?

Accepted Answer

84

Answer

55

Answer

79

Answer

64

Question 5

A city water tank is being filled at a rate of 40 gallons per minute. The tank has a capacity of 15,000 gallons but already contains 3,000 gallons of water. How many hours will it take to fill the rest of the tank?

Accepted Answer

5 hours

Answer

4.5 hours

Answer

6.25 hours

Answer

300 hours

Question 6

A city agency purchased new office chairs at a cost of $120 per chair. Due to a bulk discount, the price was reduced by 15%. If the agency bought 50 chairs, what was the total cost after the discount was applied?

Accepted Answer

$5,100

Answer

$900

Answer

$6,000

Answer

$5,400

A city's sanitation department has two models of street sweepers.Model A can sweep a designated 5-mile route in 3 hours.Model B can sweep the same route in 2 hours.If both models are used simultaneously, how long will it take to sweep the entire 5-mile route?

A city's sanitation department has two models of street sweepers.
Model A can sweep a designated 5-mile route in 3 hours.
Model B can sweep the same route in 2 hours.
If both models are used simultaneously, how long will it take to sweep the entire 5-mile route?