CAST Aptitude 2 — Questions and Answers
Question 1: A crew lays 18 feet of cable per hour. How many feet do they lay in a 7.5-hour shift?
- 120
- 135 (Correct answer)
- 144
- 150
Correct answer: 135
18 x 7.5 = 135 feet.
Question 2: Two gears mesh: the driver has 12 teeth, the driven has 36 teeth. If the driver turns at 90 RPM, how fast does the driven gear turn?
- 30 RPM (Correct answer)
- 45 RPM
- 60 RPM
- 270 RPM
Correct answer: 30 RPM
A larger driven gear turns slower: 90 x (12/36) = 30 RPM.
Question 3: Reading a scale drawing where 1 inch = 4 feet, a wall measuring 3.5 inches represents how many feet?
- 7 feet
- 12 feet
- 14 feet (Correct answer)
- 16 feet
Correct answer: 14 feet
3.5 x 4 = 14 feet.
Question 4: Which lever arrangement makes it EASIEST to lift a heavy load?
- Effort close to the fulcrum
- Load far from the fulcrum
- Effort far from the fulcrum (Correct answer)
- Effort and load equal distance
Correct answer: Effort far from the fulcrum
A longer effort arm increases mechanical advantage, reducing the force needed.
Question 5: A water tank fills at 25 gallons per minute. How long to fill a 600-gallon tank?
- 20 minutes
- 24 minutes (Correct answer)
- 30 minutes
- 32 minutes
Correct answer: 24 minutes
600 / 25 = 24 minutes.
Question 6: If 3 workers complete a job in 8 hours, how long would 4 workers take at the same pace?
- 5 hours
- 6 hours (Correct answer)
- 6.5 hours
- 10.7 hours
Correct answer: 6 hours
Total work is 24 worker-hours; 24 / 4 = 6 hours.
Question 7: On a pulley system with 4 supporting rope segments, lifting a 200 lb load requires roughly what effort (ignoring friction)?
- 50 lb (Correct answer)
- 100 lb
- 200 lb
- 800 lb
Correct answer: 50 lb
Mechanical advantage of 4 means 200 / 4 = 50 lb of effort.
CAST Aptitude 2
A crew lays 18 feet of cable per hour.
How many feet do they lay in a 7.5-hour shift?