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Sample Practice Test Questions

Mechanical Comprehension

The principle of moments defines equilibrium in terms of:

torque

According to the principle of moments, you can maintain equilibrium if the moments (forces) tending to clockwise rotation are equal to the moments tending to counterclockwise rotation. Another name for these moments of force is torque.

Mechanical Comprehension
If you have a gear train with two gears, the first with 32 teeth and the second with 4 teeth, how many revolutions does the second gear make for each revolution of the first gear?
8

The gear ratio (Vr) of a gear train is the product of the gear ratios between the pairs of meshed gears. Let N represent the number of teeth for each gear:

Vr = \( \frac{N_1}{N_2} \) \( \frac{N_2}{N_3} \) \( \frac{N_3}{N_4} \) ... \( \frac{N_n}{N_{n+1}} \)

In this problem, we have only two gears so the equation becomes:

Vr = \( \frac{N_1}{N_2} \) = \( \frac{32}{4} \) = 8

Electronics Information

What is the frequency of most household electrical systems?

60Hz

Electricity is delivered from power stations to customers as AC because it provides a more efficient way to transport electricity over long distances. Most households use electricity with a frequency of 60Hz.

General Science

212°F is how many °C?

100

The formula to convert from F° to C° is:

\(C° = {5 \over 9} (F° - 32)\)

plugging in our values gives:

\(C° = {5 \over 9} (212 - 32)\)

\(C° = {5 \over 9} (180) = {{180 \times 5} \over 9}\)

\(C° = {900 \over 9}\)

\(C° = 100\)

Word Knowledge
Diffident most nearly means:
timid
Lacking self–confidence.
Word Knowledge
Benevolent most nearly means:
altruistic
Kind, helpful.
Word Knowledge
The sweet cookie was a perfect foil to the sour lemon sorbet.
complement
One that enhances or underscores by contrast.
Word Knowledge
Garish most nearly means:
gaudy
Offensively bright.
General Science

Bronchioles, alveolus, and capillaries are vital parts of which bodily system?

respiration

The trachea branches into the left and right bronchi which each lead to a lung where the bronchi subdivide into smaller tubes called bronchioles. Each bronchiole ends in a small sac called an alveolus which allows oxygen from the air to enter the bloodstream via tiny blood vessels called capillaries.

Math Knowledge
24

If a = c = 3, b = d = 8, and the blue angle = 58°, what is the area of this parallelogram?

24

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 3 x 8
a = 24