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Sample Practice Test Questions

Mechanical Comprehension

A fixed pulley is useful for which of the following?

changing the direction of the input force

A fixed pulley is used to change the direction of a force and does not multiply the force applied. As such, it has a mechanical advantage of one. The benefit of a fixed pulley is that it can allow the force to be applied at a more convenient angle, for example, pulling downward or horizontally to lift an object instead of upward.

Electronics Information

You would measure the amount of resistance at a certain point in a circuit with a(n):

ohmmeter

Resistance is opposition to the flow of current and is measured in ohms (Ω). An ohmmeter is used to measure the amount of resistance at a certain point in a circuit.

Word Knowledge
Aerate most nearly means:
oxygenate
To supply with air.
Word Knowledge
Futile most nearly means:
hopeless
Without purpose, completely ineffective.
Math Knowledge
7

If AD = 29 and BD = 22, AB = ?

7

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 29 - 22
AB = 7

Automotive Information

Another name for a reciprocating engine is a(n):

piston engine

A reciprocating engine is an engine whose crankshaft is turned by pistons moving up and down in a cylinder.

Mechanical Comprehension
3.13 ft. A = 5 ft., the green box weighs 50 lbs., and the blue box weighs 80 lbs. What does distance B need to be for this lever to balance?
3.13 ft.
In order for this lever to balance, the torque acting on side A must equal the torque acting on side B. Torque is weight x distance from the fulcrum which means that the following must be true for the lever to balance:

fAdA = fBdB

For this problem, the equation becomes:

50 lbs. x 5 ft. = 80 lbs. x dB

dB = \( \frac{50 \times 5 ft⋅lb}{80 lbs.} \) = \( \frac{250 ft⋅lb}{80 lbs.} \) = 3.13 ft.

Mechanical Comprehension

The advantage of using a third-class lever is that it increases:

the speed of the load

A third-class lever is used to increase distance traveled by an object in the same direction as the force applied. The fulcrum is at one end of the lever, the object at the other, and the force is applied between them. This lever does not impart a mechanical advantage as the effort force must be greater than the load but does impart extra speed to the load. Examples of third-class levers are shovels and tweezers.

Arithmetic Reasoning

If there were a total of 350 raffle tickets sold and you bought 24 tickets, what's the probability that you'll win the raffle?

7%

You have 24 out of the total of 350 raffle tickets sold so you have a (\( \frac{24}{350} \)) x 100 = \( \frac{24 \times 100}{350} \) = \( \frac{2400}{350} \) = 7% chance to win the raffle.

Math Knowledge
9π

The dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the volume?

The volume of a cylinder is πr2h:

v = πr2h
v = π(12 x 9)
v = 9π