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Sample Practice Test Questions

Math Knowledge

Find the value of c:
5c + y = -1
-2c - 3y = -3

-\(\frac{6}{13}\)

You need to find the value of c so solve the first equation in terms of y:

5c + y = -1
y = -1 - 5c

then substitute the result (-1 - 5c) into the second equation:

-2c - 3(-1 - 5c) = -3
-2c + (-3 x -1) + (-3 x -5c) = -3
-2c + 3 + 15c = -3
-2c + 15c = -3 - 3
13c = -6
c = \( \frac{-6}{13} \)
c = -\(\frac{6}{13}\)

Mechanical Comprehension
0.3 If this lever is in equilibrium with an effort force of 10.0 ft. lb. at the blue arrow and a resistance force of 3 ft. lb. at the green box, what is its mechanical advantage?
0.3

Mechanical advantage (MA) is the ratio by which effort force relates to resistance force. If both forces are known, calculating MA is simply a matter of dividing resistance force by effort force:

MA = \( \frac{F_r}{F_e} \) = \( \frac{3 ft.}{10.0 ft.} \) = 0.3

In this case, the mechanical advantage is less than one meaning that each unit of effort force results in just 0.3 units of resistance force. However, a third class lever like this isn't designed to multiply force like a first class lever. A third class lever is designed to multiply distance and speed at the resistance by sacrificing force at the resistance. Different lever styles have different purposes and multiply forces in different ways.

Word Knowledge
Gary believed the black foreboding sky was an inauspicious sign.
ominous
Not favorable.
General Science

Minerals, vitamins, and fiber are:

micronutrients

Minterals, vitamins, and fiber are micronutrients while proteins, carbohydrates, and fats are macronutrients.

Mechanical Comprehension
Only multiplies the effort force

Which of the following statements about this pulley configuration is false?

Only multiplies the effort force

A block and tackle is a combination of one or more fixed pulleys and one or more movable pulleys where the fixed pulleys change the direction of the effort force and the movable pulleys multiply it. The mechanical advantage is equal to the number of times the effort force changes direction and can be increased by adding more pulley wheels to the system. An easy way to find the mechanical advantage of a block and tackle pulley system is to count the number of ropes that support the resistance.

Automotive Information

Which of the following receive signals from the powertrain control module (PCM) and carry out its instructions?

actuators

Actuators receive signals from the PCM and carry out adjustments needed based on the data the PCM received from the sensors.

Electronics Information

In electrical wiring, which of the following are proportional?

the diameter of the wire and the amount of the current

Current flow through a wire increases the temperature of the wire. If too small a wire is used, the wire will heat up causing a loss in conductivity and possibly a fire. The thicker in diameter a wire is, the more current it can carry without overheating.

Electronics Information

An engineer who wants to document an electric circuit would create which of the following?

a schematic

A schematic is the proper name for a drawing of an electric or electronic circuit.

Electronics Information

A transistor to an electronic circuit is like a _______________ to a house?

gate

A transistor works by allowing a small amount of current applied at the base to control general current flow from collector to emitter through the transistor. A transistor acts as a gate or switch for electronic signals.

Word Knowledge
Garish most nearly means:
gaudy
Offensively bright.