IPAT Numerical Reasoning 4 — Questions and Answers
Question 1: A suspect runs at 12 km/h. A Garda runs at 15 km/h. If the suspect has a 100-metre head start, approximately how long until the Garda catches up?
- 2 minutes (Correct answer)
- 1 minute
- 3 minutes
- 30 seconds
Correct answer: 2 minutes
Relative speed = 15 − 12 = 3 km/h = 50 m/min. Time = 100 ÷ 50 = 2 minutes.
Question 2: If 45 out of 180 crimes in a district are vehicle-related, what percentage is that?
- 25% (Correct answer)
- 20%
- 30%
- 15%
Correct answer: 25%
Percentage = (45 ÷ 180) × 100 = 25%.
Question 3: A court fee is €85. If VAT at 23% is added, what is the total?
- €104.55 (Correct answer)
- €107.55
- €108.00
- €100.55
Correct answer: €104.55
VAT = 23% of €85 = €19.55. Total = €85 + €19.55 = €104.55.
Question 4: In a year, a station deals with 1,200 incidents. What is the average per month?
- 100 (Correct answer)
- 110
- 120
- 90
Correct answer: 100
Average per month = 1,200 ÷ 12 = 100 incidents.
Question 5: A Garda travels 15 km to work each way. Working 5 days a week, how many km does she travel in 4 weeks?
- 600 (Correct answer)
- 300
- 450
- 750
Correct answer: 600
Daily travel = 15 × 2 = 30 km. Weekly = 30 × 5 = 150 km. Over 4 weeks = 150 × 4 = 600 km.
Question 6: If a crime rate drops by 8% from 250 incidents, what is the new total?
- 230 (Correct answer)
- 210
- 200
- 220
Correct answer: 230
8% of 250 = 20. New total = 250 − 20 = 230 incidents.
A suspect runs at 12 km/h.
A Garda runs at 15 km/h.
If the suspect has a 100-metre head start, approximately how long until the Garda catches up?