IPAT Numerical Reasoning 2 — Questions and Answers
Question 1: A station logs 36 incidents on Monday and 27 on Tuesday. What is the ratio of Monday to Tuesday incidents?
- 4:3 (Correct answer)
- 3:4
- 4:5
- 3:2
Correct answer: 4:3
GCD of 36 and 27 is 9. 36/9 = 4, 27/9 = 3. Ratio = 4:3.
Question 2: If 3 Gardaí can process 18 reports in 2 hours, how many reports can 6 Gardaí process in 2 hours?
- 36 (Correct answer)
- 24
- 27
- 30
Correct answer: 36
3 Gardaí process 18 reports. 6 Gardaí = double the workers = 18 × 2 = 36 reports in the same time.
Question 3: A vehicle travels at 90 km/h. How long does it take to travel 45 km?
- 30 minutes (Correct answer)
- 45 minutes
- 20 minutes
- 1 hour
Correct answer: 30 minutes
Time = Distance ÷ Speed = 45 ÷ 90 = 0.5 hours = 30 minutes.
Question 4: Out of 500 applicants, 60% pass the written test. How many applicants pass?
- 300 (Correct answer)
- 250
- 350
- 200
Correct answer: 300
60% of 500 = 0.60 × 500 = 300 applicants pass.
Question 5: A Garda earns €2,400 per month. After paying 20% tax, what is the take-home pay?
- €1,920 (Correct answer)
- €2,000
- €1,800
- €2,200
Correct answer: €1,920
Tax = 20% of €2,400 = €480. Take-home = €2,400 − €480 = €1,920.
Question 6: If incidents decreased from 250 to 200 over a quarter, what is the percentage decrease?
- 20% (Correct answer)
- 25%
- 15%
- 10%
Correct answer: 20%
Decrease = 250 − 200 = 50. Percentage decrease = (50 ÷ 250) × 100 = 20%.
A station logs 36 incidents on Monday and 27 on Tuesday.
What is the ratio of Monday to Tuesday incidents?