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Sample Practice Test Questions

Mechanical Comprehension
48.89 lbs. If A = 10 ft., B = 1 ft., C = 9 ft., the green box weighs 50 lbs. and the blue box weighs 60 lbs., what does the orange box have to weigh for this lever to balance?
48.89 lbs.
In order for this lever to balance, the torque acting on each side of the fulrum must be equal. So, the torque produced by A must equal the torque produced by B and C. Torque is weight x distance from the fulcrum which means that the following must be true for the lever to balance:

fAdA = fBdB + fCdC

For this problem, this equation becomes:

50 lbs. x 10 ft. = 60 lbs. x 1 ft. + fC x 9 ft.

500 ft. lbs. = 60 ft. lbs. + fC x 9 ft.

fC = \( \frac{500 ft. lbs. - 60 ft. lbs.}{9 ft.} \) = \( \frac{440 ft. lbs.}{9 ft.} \) = 48.89 lbs.

Word Knowledge
Defiant most nearly means:
impudent
Showing bold resistance.
General Science

The Sun is a __________-type main-sequence star.

G

The Sun is a G-type main-sequence star (G2V) but is informally known as a yellow dwarf star. Composed of 73% hydrogen and 25% helium, the hot plasma that makes up the Sun reaches 9,900°F (5,505°C) at the surface. It formed approximately 4.6 billion years ago and makes up 99.86% of the mass in the solar system.

Shop Information

A welding rod provides:

the joining material for a weld

The joining material for a weld is called a welding or filler rod and is available in a variety of diameters and alloys for different welding tasks.

Arithmetic Reasoning

Find the average of the following numbers: 17, 13, 17, 13.

15

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{17 + 13 + 17 + 13}{4} \) = \( \frac{60}{4} \) = 15

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

Electronics Information

The most common circuit configuration is:

series-parallel

Circuits are not limited to only series or only parallel configurations. Most circuits contain a mix of series and parallel segments. A good example is a household circuit breaker. Electrical outlets in each section of the house are wired in parallel with the circuit breaker for that section wired in series making it easy to cut off electricity to the parallel parts of the circuit when needed.

Word Knowledge
Solace most nearly means:
comfort
Source of consolation.
Electronics Information
inductor

This circuit component symbol represents a(n):

inductor

An inductor is coiled wire that stores electric energy in the form of magnetic energy and resists changes in the electric current flowing through it. If current is increasing, the inductor produces a voltage that slows the increase and, if current is decreasing, the magnetic energy in the coil opposes the decrease to keep the current flowing longer. In contrast to capacitors, inductors allow DC to pass easily but resist the flow of AC.

General Science

Work is measured in:

joules or newton-meters

Work is performed on an object when an applied force causes displacement along the same vector. Measured in joules (J) or newton-meters (Nm), work is calculated by multiplying force times displacement:  \(W = \vec{F}\vec{d}\)