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Sample Practice Test Questions

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:

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

Mechanical Comprehension
270 ft⋅lb If A = 9 ft. and the green box weighs 30 lbs. what is the torque acting on the A side of this lever?
270 ft⋅lb
For a lever, torque is weight x distance from the fulcrum which, in this case, is: 30 ft. x 9 lbs. = 270 ft⋅lb
Automotive Information

A vehicle's lighting system is protected from current spikes by:

fuses and circuit breakers

The lighting system consists of interior lights, instrument panel lighting, headlights, and taillights. Like household electrical circuits, the vehicle's lighting system is protected from current spikes by fuses and circuit breakers.

Shop Information

Which of the following is not an advantage of using a ratchet with a larger point-sized socket?

larger point sizes allow easier alignment

A ratchet (or socket wrench) is a wrench that applies torque in only one direction with a handle that can be moved back and forth without losing contact with the fastener. A ratchet uses variable attachments called sockets which come in a variety of drive sizes based on the size of the opening that attaches to the ratchet. Sockets with the same drive size will vary in the shape (six-point, twelve-point) and size of the nut opening that attaches to the fastener being tightened or loosened. Smaller point sized sockets are stronger and can apply greater torque while larger point sizes allow easier alignment.

Electronics Information

Which of the following is the preferred method for splicing wires?

soldering

Splicing is permanently joining two wires together. Splicing can be done with screw-on connectors or wire crimps but the preferred method for splicing is soldering. Soldering takes the most effort but results in a connection that is electrically and mechanically identical to the original wire.

Automotive Information

Which of the following statements about v-type cyllinder arrangement is false?

has an odd number of cylinders

A v-arrangement has two rows of cylinders in a V-shaped block with a crankshaft at the bottom of the V. Any even number of cylinders is possible in this configuration from the V-2 that's commonly used in motorcycles up to V-12 or bigger for large trucks. The V design produces a shorter engine than an in-line cylinder configuration and allows for better air-fuel distribution.

Word Knowledge
My parents banned Chad from our house because of his indecorous behavior at dinner.
vulgar
In bad taste.
Word Knowledge
The genial host warmly greeted his many guests.
pleasant
Sympathetic, friendly.
Electronics Information

An engineer who wants to document an electric circuit would create which of the following?

a schematic

A schematic is the proper name for a drawing of an electric or electronic circuit.

General Science

A subatomic particle that orbits the nucleus of an atom. It carries a negative electric charge. This desribes which of the following?

electron

An electron is a subatomic particle that orbits the nucleus of an atom. It carries a negative electric charge. Generally, an atom has the same number of negative electrons orbiting the nucleus as it does positive protons inside.