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Sample Practice Test Questions

Mechanical Comprehension

Which of the following is the formula for gravitational potential energy?

\(PE = mgh\)

Gravitational potential energy is energy by virtue of gravity. The higher an object is raised above a surface the greater the distance it must fall to reach that surface and the more velocity it will build as it falls. For gravitational potential energy, PE = mgh where m is mass (kilograms), h is height (meters), and g is acceleration due to gravity which is a constant (9.8 m/s2).

Arithmetic Reasoning

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

distributive property for division

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

General Science

pH is a scale that measures of how basic or acidic a solution is. A solution with a pH of 4 is:

acidic

An acid is a substance that gives up positively charged hydrogen ions (H+) when dissolved in water. A base (alkaline) gives up negatively charged hydroxide ions (OH-) when dissolved in water. pH is a scale that measures of how basic or acidic a solution is. Numbered from 0 to 14, solutions with a pH of 7 are neutral, less than 7 are acidic, more than 7 are alkaline.

Automotive Information

Cylinder air and fuel intake valves, exhaust valves, and mounts for spark plugs and fuel injectors are contained in the:

head gasket

Cylinders act as a guide for the pistons that translate the heat energy of combustion into the mechanical energy necessary to move a vehicle. Piston rings seal the piston to the cylinder to contain combustion gases and also regulate the oil distribution between the piston and cylinder wall. A cylinder head closes in the top of the cylinder forming the combustion chamber which is sealed by a head gasket (head). The head provides space for air and fuel intake valves, exhaust valves, and mounts for spark plugs and fuel injectors.

Arithmetic Reasoning

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Damon buys two shirts, each with a regular price of $39, how much will he pay for both shirts?

$58.50

By buying two shirts, Damon will save $39 x \( \frac{50}{100} \) = \( \frac{$39 x 50}{100} \) = \( \frac{$1950}{100} \) = $19.50 on the second shirt.

So, his total cost will be
$39.00 + ($39.00 - $19.50)
$39.00 + $19.50
$58.50

Word Knowledge
The executive was fired for his flagrant abuse of the company expense account.
glaring
Noticeably offensive.
Arithmetic Reasoning

Which of the following is a mixed number?

\(1 {2 \over 5} \)

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

Shop Information

You are using a hacksaw to cut a Class 8 bolt. What is the most appropriate TPI for your saw blade?

18 TPI

A Class 8 bolt is made of very hard metal and larger TPI saw blades are most appropriate for very hard metals.

Math Knowledge

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

pairs

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

Electronics Information

The ohm is a unit of measurement for:

resistance

Resistance is opposition to the flow of current and is measured in ohms (Ω). One ohm is defined as the amount of resistance that will allow one ampere of current to flow if one volt of voltage is applied. As resistance increases, current decreases as resistance and current are inversely proportional.