IPAT Numerical Reasoning 2

Question 1

A station logs 36 incidents on Monday and 27 on Tuesday. What is the ratio of Monday to Tuesday incidents?

Accepted Answer

4:3

Answer

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?

Accepted Answer

36

Answer

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?

Accepted Answer

30 minutes

Answer

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?

Accepted Answer

300

Answer

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?

Accepted Answer

€1,920

Answer

Tax = 20% of €2,400 = €480. Take-home = €2,400 − €480 = €1,920.

IPAT Practice Test