IPAT Numerical Reasoning 3

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?

Accepted Answer

1.5 km

Answer

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?

Accepted Answer

€9,600

Answer

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?

Accepted Answer

28

Answer

Fuel = (8 ÷ 100) × 350 = 0.08 × 350 = 28 litres.

Question 4

Which value is largest: 0.75, 3/5, 65%, 7/10?

Accepted Answer

0.75

Answer

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?

Accepted Answer

€3,000

Answer

Total parts = 3 + 1 = 4. Training = 1/4 × €12,000 = €3,000.

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