RCAT Numerical Reasoning 1 — Questions and Answers
Question 1: A factory produces 240 units in 8 hours. If the production rate increases by 25%, how many units will be produced in 6 hours?
- 225 (Correct answer)
- 250
- 225
- 180
Correct answer: 225
The new rate is 240/8 × 1.25 = 37.5 units/hour, so in 6 hours: 37.5 × 6 = 225 units.
Question 2: If a number is increased by 40% and then decreased by 20%, what is the net percentage change?
- 12% increase (Correct answer)
- 20% decrease
- 8% increase
- No change
Correct answer: 12% increase
1.40 × 0.80 = 1.12, which represents a 12% net increase.
Question 3: A train travels 360 km at 90 km/h, then 240 km at 60 km/h. What is the average speed for the entire journey?
- 75 km/h (Correct answer)
- 72 km/h
- 78 km/h
- 80 km/h
Correct answer: 75 km/h
Total distance = 600 km; total time = 4 + 4 = 8 hours; average speed = 600/8 = 75 km/h.
Question 4: Which number correctly completes the series: 3, 6, 11, 18, 27, ___?
- 38 (Correct answer)
- 36
- 40
- 33
Correct answer: 38
Differences increase by 2 each time (3, 5, 7, 9, 11), so 27 + 11 = 38.
Question 5: If 5 workers complete a job in 12 days, how many days will 8 workers take to complete the same job?
- 7.5 days (Correct answer)
- 8 days
- 6 days
- 9.6 days
Correct answer: 7.5 days
Total work = 5 × 12 = 60 worker-days; 8 workers need 60/8 = 7.5 days.
Question 6: A store marks up an item by 50% and then offers a 20% discount. What percentage of the original price does the customer pay?
- 120% (Correct answer)
- 130%
- 110%
- 125%
Correct answer: 120%
1.50 × 0.80 = 1.20, so the customer pays 120% of the original price.
RCAT Numerical Reasoning 1
A factory produces 240 units in 8 hours.
If the production rate increases by 25%, how many units will be produced in 6 hours?