CAST Aptitude 2

Question 1

A crew lays 18 feet of cable per hour. How many feet do they lay in a 7.5-hour shift?

Accepted Answer

135

Answer

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?

Accepted Answer

30 RPM

Answer

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?

Accepted Answer

14 feet

Answer

3.5 x 4 = 14 feet.

Question 4

Which lever arrangement makes it EASIEST to lift a heavy load?

Accepted Answer

Effort far from the fulcrum

Answer

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?

Accepted Answer

24 minutes

Answer

600 / 25 = 24 minutes.

CAST Test Practice Test