RCMP - Royal Canadian Mounted Police Numerical Reasoning and Computation Questions and Answers — Questions and Answers
Question 1: An officer drives 21 kilometers to a call, and it takes 20 minutes to get there. What was the officer's average speed in kilometers per hour (km/h)?
- 63 km/h (Correct answer)
- 42 km/h
- 21 km/h
- 70 km/h
Correct answer: 63 km/h
To find the speed in km/h, first convert the time from minutes to hours by dividing by 60 (20 minutes / 60 = 1/3 or 0.333 hours). Then, divide the distance by the time in hours (21 km / (1/3) hour = 63 km/h).
Question 2: A detachment's annual budget is $850,000. If 12% of the budget is allocated for vehicle maintenance, which of the following represents the amount allocated for this purpose?
- $85,000
- $102,000 (Correct answer)
- $120,000
- $748,000
Correct answer: $102,000
To calculate the amount allocated for vehicle maintenance, multiply the total budget by the percentage: $850,000 * 0.12 = $102,000.
Question 3: The ratio of day-shift officers to night-shift officers in a district is 5:3. If there are a total of 120 officers assigned to these shifts, how many are on the night shift?
- 75
- 60
- 45 (Correct answer)
- 40
Correct answer: 45
First, find the total number of parts in the ratio (5 + 3 = 8). Then, divide the total number of officers by the total parts to find the value of one part (120 / 8 = 15). Finally, multiply this value by the number of parts for the night shift (15 * 3 = 45).
Question 4: Over a five-day period, an officer files the following number of reports: 4, 7, 5, 9, and 5. What is the average number of reports filed per day?
- 5
- 7
- 30
- 6 (Correct answer)
Correct answer: 6
To find the average (mean), sum the number of reports (4 + 7 + 5 + 9 + 5 = 30) and then divide by the number of days (30 reports / 5 days = 6 reports per day).
Question 5: A constable seizes four evidence bags containing a substance. The bags weigh 1.3 kg, 0.9 kg, 1.8 kg, and 1.2 kg. If the substance has an estimated street value of $50 per gram, what is the total estimated value of the seized substance?
- $26,000
- $260,000 (Correct answer)
- $5,200
- $520,000
Correct answer: $260,000
First, sum the total weight in kilograms (1.3 + 0.9 + 1.8 + 1.2 = 5.2 kg). Next, convert kilograms to grams by multiplying by 1,000 (5.2 kg * 1000 g/kg = 5,200 grams). Finally, calculate the total value by multiplying the total grams by the value per gram (5,200 g * $50/g = $260,000).
Question 6: A detachment has a budget of $3,500 for new emergency kits. Each kit costs $160, and there is a flat shipping fee of $180 for the entire order. What is the maximum number of emergency kits that can be purchased?
- 20 (Correct answer)
- 21
- 22
- 19
Correct answer: 20
First, subtract the fixed shipping fee from the total budget ($3,500 - $180 = $3,320). Then, divide the remaining amount by the cost per kit to find the number of kits that can be purchased ($3,320 / $160 = 20.75). Since a partial kit cannot be bought, the maximum number is 20.
RCMP - Royal Canadian Mounted Police Numerical Reasoning and Computation Questions and Answers
An officer drives 21 kilometers to a call, and it takes 20 minutes to get there.
What was the officer's average speed in kilometers per hour (km/h)?