IPAT Numerical Reasoning 3 — Questions and Answers
Question 1: A map uses a scale of 1:50,000. If two towns are 3 cm apart on the map, how far apart are they in reality?
- 1.5 km (Correct answer)
- 3 km
- 5 km
- 150 km
Correct answer: 1.5 km
3 cm × 50,000 = 150,000 cm = 1,500 m = 1.5 km.
Question 2: A Garda sergeant earns €3,200/month. A constable earns €2,400/month. What is the difference per year?
- €9,600 (Correct answer)
- €8,400
- €10,000
- €7,200
Correct answer: €9,600
Monthly difference = €3,200 − €2,400 = €800. Annual difference = €800 × 12 = €9,600.
Question 3: If a patrol car uses 8 litres of fuel per 100 km, how many litres are needed for 350 km?
- 28 (Correct answer)
- 24
- 32
- 30
Correct answer: 28
Fuel = (8 ÷ 100) × 350 = 0.08 × 350 = 28 litres.
Question 4: Which value is largest: 0.75, 3/5, 65%, 7/10?
- 0.75 (Correct answer)
- 3/5
- 65%
- 7/10
Correct answer: 0.75
0.75 = 75%, 3/5 = 60%, 65% = 65%, 7/10 = 70%. The largest is 0.75 = 75%.
Question 5: A budget of €12,000 is split in the ratio 3:1 between equipment and training. How much goes to training?
- €3,000 (Correct answer)
- €9,000
- €4,000
- €6,000
Correct answer: €3,000
Total parts = 3 + 1 = 4. Training = 1/4 × €12,000 = €3,000.
Question 6: A CCTV camera records 6 hours of footage per day. How many hours does it record in a 30-day month?
- 180 (Correct answer)
- 150
- 200
- 160
Correct answer: 180
6 hours/day × 30 days = 180 hours.
IPAT Numerical Reasoning 3
A map uses a scale of 1:50,000.
If two towns are 3 cm apart on the map, how far apart are they in reality?