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Sample Practice Test Questions

Mechanical Comprehension

Which of the following is the formula for gravitational potential energy?

\(PE = mgh\)

Gravitational potential energy is energy by virtue of gravity. The higher an object is raised above a surface the greater the distance it must fall to reach that surface and the more velocity it will build as it falls. For gravitational potential energy, PE = mgh where m is mass (kilograms), h is height (meters), and g is acceleration due to gravity which is a constant (9.8 m/s2).

Word Knowledge
Sarah thought George's ploy of borrowing her notes was a cowardly way to ask her out.
strategem
A contrived plan.
Word Knowledge
Authoritarian most nearly means:
strict
Favoring absolute obedience to authority.
Mechanical Comprehension

A block and tackle with four pulleys would have a mechanical advantage of:

4

Two or more pulleys used together constitute a block and tackle which, unlike a fixed pulley, does impart mechanical advantage as a function of the number of pulleys that make up the arrangement.  So, for example, a block and tackle with three pulleys would have a mechanical advantage of three.

Math Knowledge

Solve for a:
-6a + 9 = -7 + 7a

1\(\frac{3}{13}\)

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-6a + 9 = -7 + 7a
-6a = -7 + 7a - 9
-6a - 7a = -7 - 9
-13a = -16
a = \( \frac{-16}{-13} \)
a = 1\(\frac{3}{13}\)

Shop Information

Which of the following nuts use a pin to lock the nut in place and prevent it from loosening?

slotted

Wrenches are used with threaded fasteners like bolts and nuts. A bolt has external threads while a nut has internal threads and this thread pattern combination allows them to lock together and act as fasteners. Nuts come in a variety of configurations including wing nuts which provide appendages that allow tightening and loosening by hand, slotted nuts that use a cotter pin to lock the nut in place and prevent it from loosening, and lock nuts that also prevent loosening via nylon in their threads. Threads are identified by pitch which is the number of threads per inch.

Mechanical Comprehension

Which class of lever offers no mechanical advantage?

third

A third-class lever is used to increase distance traveled by an object in the same direction as the force applied. The fulcrum is at one end of the lever, the object at the other, and the force is applied between them. This lever does not impart a mechanical advantage as the effort force must be greater than the load but does impart extra speed to the load. Examples of third-class levers are shovels and tweezers.

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

Electronics Information

Which of the following is not a characteristic of direct current?

an example power source is a generator

Direct current flows in only one direction in a circuit, from the negative terminal of the voltage source to the positive. A common source of DC is a battery. In contrast to the constant one-way flow of direct current, alternating current changes direction many times each second. Electricity is delivered from power stations to customers as AC because it provides a more efficient way to transport electricity over long distances.

Shop Information

What is a framing square used for?

marking lines at a right angle

Rulers are used to both measure distance and to draw straight lines. Tape measures are flexible rulers made from cloth or metal and are useful for measuring longer distances and in tighter spaces. Both rulers and tape measures provide similar accuracy, commonly down to \({1 \over 16}\) or \({1 \over 32}\) inch. A steel framing square is made up of a shorter ruler (tongue) and a longer ruler (blade) that meet at a 90° (right) angle. A framing square is often used by carpenters when framing stairs and roofs.