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Sample Practice Test Questions

Electronics Information

The joule is a unit of measurement for:

energy

The joule is a unit of measurement for energy.

Electronics Information

Which of the following will help to prevent a short circuit?

fuse

Fuses are thin wires that melt when the current in a circuit exceeds a preset amount. They help prevent short circuits from damaging circuit components when an unusually large current is applied to the circuit, either through component failure or spikes in applied voltage.

General Science

Elements in the Periodic Table of the Elements are ordered by which of the following?

atomic number

The Periodic Table of the Elements categorizes elements primarily by the number of protons in their nucleus (atomic number) and secondarily by the characteristics they exhibit.

Arithmetic Reasoning

What is \( 5 \)\( \sqrt{20} \) - \( 2 \)\( \sqrt{5} \)

8\( \sqrt{5} \)

To subtract these radicals together their radicands must be the same:

5\( \sqrt{20} \) - 2\( \sqrt{5} \)
5\( \sqrt{4 \times 5} \) - 2\( \sqrt{5} \)
5\( \sqrt{2^2 \times 5} \) - 2\( \sqrt{5} \)
(5)(2)\( \sqrt{5} \) - 2\( \sqrt{5} \)
10\( \sqrt{5} \) - 2\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

10\( \sqrt{5} \) - 2\( \sqrt{5} \)
(10 - 2)\( \sqrt{5} \)
8\( \sqrt{5} \)

Arithmetic Reasoning

What is \( \frac{1}{8} \) x \( \frac{1}{5} \)?

\(\frac{1}{40}\)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{8} \) x \( \frac{1}{5} \) = \( \frac{1 x 1}{8 x 5} \) = \( \frac{1}{40} \) = \(\frac{1}{40}\)

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.

Arithmetic Reasoning

A triathlon course includes a 500m swim, a 30.8km bike ride, and a 8.100000000000001km run. What is the total length of the race course?

39.4km

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.5km + 30.8km + 8.100000000000001km
total distance = 39.4km

Automotive Information

__________ results from oil buildup in the combustion chamber.

preignition

Preignition results from the buildup of fuel deposits and/or oil in the combustion chamber. These deposits increase chamber pressure and reduce heat tranfer to the coolant. The trapped heat then raises the temperature of the air-fuel mix to the point that it combusts before ignition.

Arithmetic Reasoning

Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 20 small cakes per hour. The kitchen is available for 2 hours and 26 large cakes and 480 small cakes need to be baked.

How many cooks are required to bake the required number of cakes during the time the kitchen is available?

15

If a single cook can bake 5 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 5 x 2 = 10 large cakes during that time. 26 large cakes are needed for the party so \( \frac{26}{10} \) = 2\(\frac{3}{5}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 20 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 20 x 2 = 40 small cakes during that time. 480 small cakes are needed for the party so \( \frac{480}{40} \) = 12 cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 3 + 12 = 15 cooks.

General Science

The ozone layer is in which of Earth's atmospheric layers?

stratosphere

The stratosphere is just above the troposphere and is stratified in temperature with warmer layers higher and cooler layers closer to Earth. This increase in temperature is a result of absorption of the Sun's radiation by the ozone layer.