RCAT Numerical Reasoning

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?

Accepted Answer

225

Answer

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?

Accepted Answer

12% increase

Answer

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?

Accepted Answer

75 km/h

Answer

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, ___?

Accepted Answer

38

Answer

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?

Accepted Answer

7.5 days

Answer

Total work = 5 × 12 = 60 worker-days; 8 workers need 60/8 = 7.5 days.

RCAT - Revelian Cognitive Ability Test Practice Test