APCAT APCAT - Alberta Police Cognitive Ability Numerical Reasoning and Math Skills Questions and Answers 2 — Questions and Answers
Question 1: A stolen vehicle case involves 4 witnesses. The first witnessed the event for 2 minutes, the second for 3.5 minutes, the third for 1.5 minutes, and the fourth for 4 minutes. What is the total observation time?
- 9 minutes
- 10 minutes
- 11 minutes (Correct answer)
- 12 minutes
Correct answer: 11 minutes
2 + 3.5 + 1.5 + 4 = 11 minutes total.
Question 2: A crime scene is rectangular, measuring 15 feet by 8 feet. What is the total area of the crime scene?
- 46 sq ft
- 90 sq ft
- 120 sq ft (Correct answer)
- 180 sq ft
Correct answer: 120 sq ft
Area = length × width = 15 × 8 = 120 square feet.
Question 3: An officer issues 6 tickets on Monday, 4 on Tuesday, 9 on Wednesday, and 5 on Thursday. What is the average number of tickets issued per day?
- 5
- 6 (Correct answer)
- 7
- 8
Correct answer: 6
(6 + 4 + 9 + 5) ÷ 4 = 24 ÷ 4 = 6 tickets per day.
Question 4: If there were 450 reported thefts last year and this year there is a 20% increase, how many thefts are reported this year?
- 480
- 510
- 540 (Correct answer)
- 560
Correct answer: 540
450 × 1.20 = 540 thefts.
Question 5: A police cruiser travels at 55 mph for 2 hours and then at 70 mph for 1 hour. What is the total distance traveled?
- 165 miles
- 170 miles
- 175 miles
- 180 miles (Correct answer)
Correct answer: 180 miles
(55 × 2) + (70 × 1) = 110 + 70 = 180 miles.
Question 6: Out of 80 applicants for a police position, 1/4 passed the written test and 1/2 of those passed the physical test. How many applicants passed both tests?
- 10 (Correct answer)
- 15
- 20
- 40
Correct answer: 10
80 × 1/4 = 20 passed the written test; 20 × 1/2 = 10 passed both tests.
A stolen vehicle case involves 4 witnesses.
The first witnessed the event for 2 minutes, the second for 3.5 minutes, the third for 1.5 minutes, and the fourth for 4 minutes.
What is the total observation time?