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

120

Answer

144

Answer

150

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

45 RPM

Answer

60 RPM

Answer

270 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

7 feet

Answer

12 feet

Answer

16 feet

Question 4

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

Accepted Answer

Effort far from the fulcrum

Answer

Effort close to the fulcrum

Answer

Load far from the fulcrum

Answer

Effort and load equal distance

Question 5

A water tank fills at 25 gallons per minute. How long to fill a 600-gallon tank?

Accepted Answer

24 minutes

Answer

20 minutes

Answer

30 minutes

Answer

32 minutes

Question 6

If 3 workers complete a job in 8 hours, how long would 4 workers take at the same pace?

Accepted Answer

6 hours

Answer

5 hours

Answer

6.5 hours

Answer

10.7 hours

Question 7

On a pulley system with 4 supporting rope segments, lifting a 200 lb load requires roughly what effort (ignoring friction)?

Accepted Answer

50 lb

Answer

100 lb

Answer

200 lb

Answer

800 lb