NTN Mathematics and Arithmetic 2 — Questions and Answers
Question 1: A suspect fled on foot at 8 mph. An officer began pursuit 5 minutes later at 12 mph. How many minutes will it take the officer to catch the suspect?
- 10 minutes (Correct answer)
- 8 minutes
- 12 minutes
- 15 minutes
Correct answer: 10 minutes
The suspect's 5-minute head start at 8 mph = 0.667 miles; closing speed is 4 mph; 0.667 ÷ 4 = ~10 minutes.
Question 2: An officer writes 3 reports per day, 5 days a week. How many reports does the officer write in a 30-day month (assuming 5-day work weeks)?
- 66 reports (Correct answer)
- 60 reports
- 90 reports
- 75 reports
Correct answer: 66 reports
30 days ÷ 7 × 5 ≈ 21.4 workdays ≈ 22 days × 3 = 66 reports.
Question 3: A department budget of $500,000 allocates 40% to salaries, 30% to equipment, and the rest to operations. How much goes to operations?
- $150,000 (Correct answer)
- $200,000
- $100,000
- $250,000
Correct answer: $150,000
100% − 40% − 30% = 30%; 30% of $500,000 = $150,000.
Question 4: If 3 officers can search 9 rooms in 90 minutes, how long would it take 1 officer to search 9 rooms?
- 270 minutes (Correct answer)
- 90 minutes
- 180 minutes
- 30 minutes
Correct answer: 270 minutes
3 officers take 90 min, so 1 officer takes 3 × 90 = 270 minutes.
Question 5: A recruit class started with 45 cadets. After training, 80% graduated. How many cadets graduated?
- 36 cadets (Correct answer)
- 40 cadets
- 35 cadets
- 32 cadets
Correct answer: 36 cadets
80% of 45 = 0.80 × 45 = 36 cadets.
Question 6: An evidence locker contains 72 items. If 1/4 of the items are released following case closures, how many items remain?
- 54 items (Correct answer)
- 48 items
- 36 items
- 18 items
Correct answer: 54 items
72 × 1/4 = 18 released; 72 − 18 = 54 items remain.
NTN Mathematics and Arithmetic 2
A suspect fled on foot at 8 mph.
An officer began pursuit 5 minutes later at 12 mph.
How many minutes will it take the officer to catch the suspect?