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Sample Practice Test Questions

Mechanical Comprehension

If the handles of a wheelbarrow are 3 ft. from the wheel axle, what force must you exert to lift the handles if it's carrying a 270 lb. load concentrated at a point 0.5 ft. from the axle?

45 lbs

This problem describes a second-class lever and, for a second class lever, the effort force multiplied by the effort distance equals the resistance force multipied by the resistance distance: Fede = Frdr. Plugging in the variables from this problem yields:

Fe x 3 ft. = 270 lbs x 0.5 ft
Fe = 135 ft-lb. / 3 ft 
F= 45 lbs

Electronics Information

A transistor works by allowing a small amount of current to control general current flow. Where is the small amount of current applied?

base

The transistor is the foundation of modern electronic devices. It is made entirely from semiconductor material (making it a solid state device) and can serve many different functions in a circuit including acting as a switch, amplifier, or current regulator. 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.

Shop Information

Which of the following statements about solding is not true?

soldering can only join metals

Soldering is a process by which two or more items (typically metal) are joined together by melting a filler metal (solder) into the joint. An electrically powered soldering iron or soldering gun is used to melt the solder which is an alloy of lead and tin that has a melting point below the melting point of the items being joined. A chemical cleaning agent called flux is also used to clean the surfaces before soldering.

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.

Arithmetic Reasoning

Solve 2 + (5 + 2) ÷ 5 x 3 - 42

-9\(\frac{4}{5}\)

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (5 + 2) ÷ 5 x 3 - 42
P: 2 + (7) ÷ 5 x 3 - 42
E: 2 + 7 ÷ 5 x 3 - 16
MD: 2 + \( \frac{7}{5} \) x 3 - 16
MD: 2 + \( \frac{21}{5} \) - 16
AS: \( \frac{10}{5} \) + \( \frac{21}{5} \) - 16
AS: \( \frac{31}{5} \) - 16
AS: \( \frac{31 - 80}{5} \)
\( \frac{-49}{5} \)
-9\(\frac{4}{5}\)

Math Knowledge

Solve for x:
x2 + 6x - 13 = -x + 5

2 or -9

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

x2 + 6x - 13 = -x + 5
x2 + 6x - 13 - 5 = -x
x2 + 6x + x - 18 = 0
x2 + 7x - 18 = 0

Next, factor the quadratic equation:

x2 + 7x - 18 = 0
(x - 2)(x + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x + 9) must equal zero:

If (x - 2) = 0, x must equal 2
If (x + 9) = 0, x must equal -9

So the solution is that x = 2 or -9

Word Knowledge
After shouting to his players through the long game, the coach's voice was raspy.
harsh
rough, grating.
Electronics Information

The joule is a unit of measurement for:

energy

The joule is a unit of measurement for energy.

Arithmetic Reasoning

If a car travels 45 miles in 3 hours, what is the average speed?

15 mph

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)
speed = \( \frac{45mi}{3h} \)
15 mph

Electronics Information

Which of the following statements about a capacitor is false?

it is safe to touch a capacitor with your hands as long as it is small

The purpose of a capacitor is to retain electric charge and it will do so even after its input voltage is removed. After the input voltage is removed, the capacitor will slowly discharge but, depending on the size and characteristics of the capacitor, discharging could take from a few minutes to a few years. So, it's never safe to touch a capacitor with your hands and you should make sure to discharge any capacitors in a circuit before working on it using an appropriately high-wattage resistor or a capacitor discharge tool.