Numerical Reasoning Word Problems and Applied Arithmetic 2

Question 1

A farmer has a rectangular field 450m long and 280m wide. What is the area in square kilometers?

Accepted Answer

0.126 km²

Answer

Area = 450 × 280 = 126,000 m²; converting: 126,000 ÷ 1,000,000 = 0.126 km².

Question 2

A team completes 1/3 of a project in week 1 and 2/5 of the remaining work in week 2. What fraction of the total project remains?

Accepted Answer

2/5

Answer

After week 1, 2/3 remains; week 2 completes 2/5 of 2/3 = 4/15; remaining = 2/3 − 4/15 = 10/15 − 4/15 = 6/15 = 2/5.

Question 3

A tank fills at 40 liters per minute and drains at 15 liters per minute. Starting empty, how long to fill a 1,250-liter tank?

Accepted Answer

50 minutes

Answer

Net fill rate = 40 − 15 = 25 liters/min; time = 1,250 ÷ 25 = 50 minutes.

Question 4

An office uses 12 reams of paper per week. How many reams are needed for a 52-week year if a 10% buffer is added for unexpected use?

Accepted Answer

686

Answer

Base usage = 12 × 52 = 624; 10% buffer = 62.4; total = 624 + 62.4 ≈ 686 reams.

Question 5

A courier delivers packages at an average of 25 per day. At this rate, how many packages are delivered in a 5-day work week over 4 weeks?

Accepted Answer

500

Answer

Packages = 25 per day × 5 days × 4 weeks = 25 × 20 = 500.

Numerical Reasoning Practice Test