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Sample Practice Test Questions

Arithmetic Reasoning

A machine in a factory has an error rate of 6 parts per 100. The machine normally runs 24 hours a day and produces 5 parts per hour. Yesterday the machine was shut down for 6 hours for maintenance.

How many error-free parts did the machine produce yesterday?

84.6

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{6}{100} \) x 5 = \( \frac{6 \times 5}{100} \) = \( \frac{30}{100} \) = 0.3 errors per hour

So, in an average hour, the machine will produce 5 - 0.3 = 4.7 error free parts.

The machine ran for 24 - 6 = 18 hours yesterday so you would expect that 18 x 4.7 = 84.6 error free parts were produced yesterday.

General Science

What part of the brain is responsible for the major senses (thinking, hearing, seeing)?

cerebrum

The cerebrum is the major part of the brain and is responsible for the main senses (thinking, hearing, seeing).

Automotive Information

Which of the following is not a function of a car battery?

acts as a supplemental source of energy to moderate engine performance

The lead-acid battery is the core of the electrical system, providing current to the ignition system to start the engine as well as delivering supplemental current when the alternator can't handle high electrical system loads and acting as an electrical reservoir for excessive current.

Math Knowledge

Simplify (9a)(8ab) + (7a2)(8b).

128a2b

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(9a)(8ab) + (7a2)(8b)
(9 x 8)(a x a x b) + (7 x 8)(a2 x b)
(72)(a1+1 x b) + (56)(a2b)
72a2b + 56a2b
128a2b

Word Knowledge
The sweet cookie was a perfect foil to the sour lemon sorbet.
complement
One that enhances or underscores by contrast.
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.

Mechanical Comprehension

Collinear forces:

act along the same line of action

Collinear forces act along the same line of action, concurrent forces pass through a common point and coplanar forces act in a common plane.

Math Knowledge

Factor y2 - 4y - 32

(y - 8)(y + 4)

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -32 as well and sum (Inside, Outside) to equal -4. For this problem, those two numbers are -8 and 4. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 4y - 32
y2 + (-8 + 4)y + (-8 x 4)
(y - 8)(y + 4)

General Science

In a eukaryotic cell, which organelles deal with proteins?

all of these deal with proteins

The nucleus of a eukaryotic cell contains the genetic material of the cell and is surrounded by cytoplasm which contains many organelles. Ribosomes produce proteins, endoplasmic reticulum helps synthesize proteins and fats, and Golgi apparatus prepares proteins for use.

General Science

A large naturally occurring community of flora and fauna occupying a major habitat is:

a biome

A biome is a large naturally occurring community of flora (plants) and fauna (animals) occupying a major habitat (home or environment).