SSPO Numerical Reasoning Skills Questions and Answers 1 — Questions and Answers
Question 1: A vehicle involved in a pursuit travels a distance of 12.5 miles in 15 minutes. What was the vehicle's average speed in miles per hour (MPH)?
- 45 MPH
- 55 MPH
- 50 MPH (Correct answer)
- 60 MPH
Correct answer: 50 MPH
To calculate the speed in miles per hour, you need to determine how many miles the vehicle would travel in 60 minutes. Since 15 minutes is one-quarter (1/4) of an hour, you can multiply the distance traveled (12.5 miles) by 4. Calculation: 12.5 x 4 = 50. The vehicle's average speed was 50 MPH.
Question 2: Last year, your assigned patrol district recorded 240 residential burglaries. This year, the number increased to 288. What was the percentage increase in residential burglaries?
- 20% (Correct answer)
- 15%
- 25%
- 48%
Correct answer: 20%
The formula for percentage increase is [(New Value - Original Value) / Original Value] x 100. First, find the raw increase: 288 - 240 = 48. Then, divide the increase by the original number: 48 / 240 = 0.2. Finally, multiply by 100 to get the percentage: 0.2 x 100 = 20%.
Question 3: An officer is taking a theft report where several items were stolen from a construction site. The site manager provides the following values: 3 power drills at $150 each, 1 generator at $800, and copper wiring valued at $1,250. What is the total monetary value of the stolen property to be listed in the report?
- $2,200
- $2,500 (Correct answer)
- $2,350
- $2,050
Correct answer: $2,500
To find the total value, you must calculate the value of all items and sum them. The value of the drills is 3 x $150 = $450. The total value is the sum of the drills, the generator, and the wiring: $450 + $800 + $1,250 = $2,500.
Question 4: An officer begins a surveillance operation at 22:00 hours on Tuesday and concludes it at 05:30 hours on Wednesday. What was the total duration of the surveillance?
- 6 hours, 30 minutes
- 8 hours, 30 minutes
- 7 hours, 30 minutes (Correct answer)
- 7 hours, 00 minutes
Correct answer: 7 hours, 30 minutes
To calculate the time across midnight, first find the time from the start to midnight. From 22:00 to 24:00 (midnight) is 2 hours. Then, add the time from midnight to the end time, which is 5 hours and 30 minutes. The total duration is 2 hours + 5 hours and 30 minutes = 7 hours and 30 minutes.
Question 5: A police department has a budget of $150,000 for new patrol car equipment. They spend 40% on new computer terminals and 35% on camera systems. How much money is remaining in the equipment budget?
- $52,500
- $60,000
- $112,500
- $37,500 (Correct answer)
Correct answer: $37,500
First, calculate the total percentage of the budget spent: 40% + 35% = 75%. The remaining percentage is 100% - 75% = 25%. To find the remaining amount, calculate 25% of the total budget: 0.25 x $150,000 = $37,500.
Question 6: An evidence bag contains 2.5 kilograms of a seized substance. For the lab report, the weight needs to be recorded in grams. How many grams does the substance weigh? (1 kilogram = 1,000 grams)
- 25 grams
- 250 grams
- 2,500 grams (Correct answer)
- 25,000 grams
Correct answer: 2,500 grams
To convert kilograms to grams, you multiply the number of kilograms by 1,000, since there are 1,000 grams in a kilogram. The calculation is 2.5 kg x 1,000 g/kg = 2,500 grams.
A vehicle involved in a pursuit travels a distance of 12.5 miles in 15 minutes.
What was the vehicle's average speed in miles per hour (MPH)?