OACP Numerical Reasoning and Data Interpretation 4 — Questions and Answers
Question 1: A police district recorded 144 thefts in Q1, 162 in Q2, 135 in Q3, and 159 in Q4. What is the average number of thefts per quarter?
- 148
- 150 (Correct answer)
- 152
- 155
Correct answer: 150
Total = 144 + 162 + 135 + 159 = 600; average = 600 ÷ 4 = 150.
Question 2: A patrol vehicle travels 480 km on 40 litres of fuel. If fuel costs $1.75 per litre, what is the fuel cost per 100 km?
- $12.50
- $14.58 (Correct answer)
- $16.25
- $17.50
Correct answer: $14.58
Consumption = 40 ÷ 480 × 100 = 8.33 L/100 km; cost = 8.33 × $1.75 ≈ $14.58.
Question 3: A table shows response times (minutes): 4, 7, 5, 12, 6, 8, 5. What is the median response time?
- 5
- 6 (Correct answer)
- 7
- 8
Correct answer: 6
Sorted: 4, 5, 5, 6, 7, 8, 12; the middle (4th) value is 6.
Question 4: In a bar chart, Division A shows 320 incidents, Division B shows 280, and Division C shows 400. What percentage of total incidents does Division C represent?
- 36%
- 38%
- 40% (Correct answer)
- 42%
Correct answer: 40%
Total = 1000; Division C percentage = 400 ÷ 1000 × 100 = 40%.
Question 5: An officer earns a base salary of $62,400 per year plus a 12% shift differential for 6 months of night shifts. What are total annual earnings?
- $64,928
- $65,856
- $66,144 (Correct answer)
- $67,392
Correct answer: $66,144
Night differential = $62,400 × 12% × 0.5 = $3,744; total = $62,400 + $3,744 = $66,144.
Question 6: Crime statistics show a 15% decrease from 800 incidents last year. How many incidents occurred this year?
- 620
- 660
- 680 (Correct answer)
- 700
Correct answer: 680
Decrease = 800 × 0.15 = 120; this year = 800 − 120 = 680.
Question 7: A pie chart shows that 35% of calls are Priority 1, 45% are Priority 2, and 20% are Priority 3. If there were 1,400 total calls, how many were Priority 2?
- 490
- 560
- 630 (Correct answer)
- 700
Correct answer: 630
Priority 2 calls = 1,400 × 0.45 = 630.
OACP Numerical Reasoning and Data Interpretation 4
A police district recorded 144 thefts in Q1, 162 in Q2, 135 in Q3, and 159 in Q4.
What is the average number of thefts per quarter?