Numerical Reasoning Word Problems and Applied Arithmetic 2 — Questions and Answers
Question 1: A farmer has a rectangular field 450m long and 280m wide. What is the area in square kilometers?
- 0.126 km² (Correct answer)
- 1.26 km²
- 12.6 km²
- 0.0126 km²
Correct answer: 0.126 km²
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?
- 2/5 (Correct answer)
- 1/3
- 4/15
- 7/15
Correct answer: 2/5
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?
- 50 minutes (Correct answer)
- 40 minutes
- 62.5 minutes
- 30 minutes
Correct answer: 50 minutes
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?
- 686 (Correct answer)
- 624
- 700
- 660
Correct answer: 686
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?
- 500 (Correct answer)
- 400
- 600
- 480
Correct answer: 500
Packages = 25 per day × 5 days × 4 weeks = 25 × 20 = 500.
Question 6: A cylindrical water tank has a diameter of 2 meters and a height of 5 meters. Approximately how many cubic meters of water does it hold? (π ≈ 3.14)
- 15.7 m³ (Correct answer)
- 31.4 m³
- 7.85 m³
- 12.56 m³
Correct answer: 15.7 m³
Radius = 1m; Volume = π × r² × h = 3.14 × 1² × 5 = 15.7 m³.
Numerical Reasoning Word Problems and Applied Arithmetic 2
A farmer has a rectangular field 450m long and 280m wide.
What is the area in square kilometers?