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Sample Practice Test Questions

Arithmetic Reasoning

What is \( \frac{-7a^5}{7a^4} \)?

-a

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-7a^5}{7a^4} \)
\( \frac{-7}{7} \) a(5 - 4)
-a

Mechanical Comprehension

Which of the following surfaces would have the highest coefficient of friction?

concrete

Coefficient of friction (μ) represents how much two materials resist sliding across each other.  Smooth surfaces like ice have low coefficients of friction while rough surfaces like concrete have high μ.

General Science

Cirrus clouds generally occur in what kind of weather?

fair

Cirrus clouds are thin, wispy high-altitude clouds composed of ice crystals that originate from the freezing of supercooled water droplets. Cirrus clouds generally occur in fair weather and point in the direction of air movement at their elevation.

Arithmetic Reasoning

Solve for \( \frac{5!}{6!} \)

\( \frac{1}{6} \)

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{5!}{6!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6} \)
\( \frac{1}{6} \)

Word Knowledge
Scamper most nearly means:
dash
To run quickly.
Word Knowledge
Accommodate most nearly means:
oblige
To give consideration to.
General Science

Which of these vitamins doesn't come from food?

D

Vitamins are necessary for a wide variety of bodily processes. Some vitamins like Vitamins A and C come from diet but others, like Vitamin D, are generated in response to sunlight.

Arithmetic Reasoning

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Monty buys two shirts, each with a regular price of $50, how much money will he save?

$20.00

By buying two shirts, Monty will save $50 x \( \frac{40}{100} \) = \( \frac{$50 x 40}{100} \) = \( \frac{$2000}{100} \) = $20.00 on the second shirt.

General Science

Which of the following is not true about mass and weight?

mass depends on the location where it is measured

Mass is the amount of matter something has while weight is the force exerted on an object's mass by gravity.  So, although a person's mass doesn't change when going from the Earth to the Moon, their weight will decrease because the force of the Moon's gravity is much less than that of Earth.

Automotive Information

What is the function of the head gasket?

to seal the engine block from the cylinders

A head gasket is a gasket that sits between the engine block and cylinder heads to seal the cylinders to ensure maximum compression and avoid leakage of coolant or engine oil into the cylinders.