NYC Civil Service Mathematical Reasoning and Number Facility Questions and Answers — Questions and Answers
Question 1: A clerk at the Department of Finance can process 18 tax forms per hour. If the clerk works for a full 7-hour day, but takes a 30-minute break, how many forms can be processed?
- 126
- 117 (Correct answer)
- 135
- 108
Correct answer: 117
First, calculate the total work time in hours. A 7-hour day minus a 30-minute (0.5 hour) break is 6.5 hours of work. Then, multiply the work hours by the processing rate: 6.5 hours * 18 forms/hour = 117 forms.
Question 2: A sanitation route consists of 48 city blocks. By noon, 5/8 of the route is completed. How many blocks remain to be serviced?
- 30
- 24
- 18 (Correct answer)
- 8
Correct answer: 18
First, find the number of blocks completed by calculating 5/8 of 48: (48 * 5) / 8 = 30 blocks. Then, subtract the number of completed blocks from the total number of blocks to find how many remain: 48 - 30 = 18 blocks.
Question 3: The 311 call center tracks the number of calls answered by an operator over a 5-day work week. The counts are: Monday (105), Tuesday (120), Wednesday (115), Thursday (125), and Friday (110). What is the average number of calls answered per day?
- 115 (Correct answer)
- 110
- 120
- 575
Correct answer: 115
To find the average, sum the number of calls for all five days and then divide by the number of days (5). Total calls = 105 + 120 + 115 + 125 + 110 = 575. Average = 575 ÷ 5 = 115.
Question 4: The Department of Parks & Recreation has an annual budget of $5,500,000. If 2.5% of the budget is allocated for new playground equipment, what is the total dollar amount of this allocation?
- $13,750
- $1,375,000
- $220,000
- $137,500 (Correct answer)
Correct answer: $137,500
To find the allocated amount, first convert the percentage to a decimal by dividing by 100 (2.5% = 0.025). Then, multiply the decimal by the total budget: $5,500,000 * 0.025 = $137,500.
Question 5: On a city planning map, the scale is 1 inch = 500 feet. The distance between a proposed new firehouse and the nearest hospital on the map is 3.5 inches. What is the actual distance in feet?
- 1,500 feet
- 1,750 feet (Correct answer)
- 142.8 feet
- 2,000 feet
Correct answer: 1,750 feet
To find the actual distance, multiply the map distance in inches by the scale factor (feet per inch). Calculation: 3.5 inches * 500 feet/inch = 1,750 feet.
Question 6: A vehicle fleet manager is reviewing fuel consumption. In January, Truck A used 350 gallons and Truck B used 420 gallons. In February, due to a new efficiency policy, Truck A used 310 gallons and Truck B used 385 gallons. What was the total decrease in fuel consumption for both trucks combined from January to February?
- 40 gallons
- 35 gallons
- 75 gallons (Correct answer)
- 695 gallons
Correct answer: 75 gallons
There are two ways to solve this. Method 1: Calculate the decrease for each truck and add them (350 - 310 = 40) + (420 - 385 = 35) = 75. Method 2: Calculate total consumption each month and find the difference (350 + 420 = 770) - (310 + 385 = 695) = 75.
NYC Civil Service Mathematical Reasoning and Number Facility Questions and Answers
A clerk at the Department of Finance can process 18 tax forms per hour.
If the clerk works for a full 7-hour day, but takes a 30-minute break, how many forms can be processed?