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Sample Practice Test Questions

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\( \sqrt{5} \)

Automotive Information

The two major types of vehicle braking systems are:

drum and disc

Brakes utlize friction to slow vehicle tires. Drum brakes employ a cast iron drum that roates with the vehicle axle. When hydraulic pressure is applied to the brake assemblies at the wheels, internal pistons expand and push brake shoes outward into contact with the brake drum slowing the rotation of the axle. More powerful disc brakes operate by pinching a rotating disc betweeen two brake pads and allow for a larger surface area to contact the disc, provide more force, and are more easily cooled.

Word Knowledge
Eulogy most nearly means:
homage
Speech or writing in praise of deceased.
Mechanical Comprehension
Only multiplies the effort force

Which of the following statements about this pulley configuration is false?

Only multiplies the effort force

A block and tackle is a combination of one or more fixed pulleys and one or more movable pulleys where the fixed pulleys change the direction of the effort force and the movable pulleys multiply it. The mechanical advantage is equal to the number of times the effort force changes direction and can be increased by adding more pulley wheels to the system. An easy way to find the mechanical advantage of a block and tackle pulley system is to count the number of ropes that support the resistance.

Electronics Information

A transistor to an electronic circuit is like a _______________ to a house?

gate

A transistor works by allowing a small amount of current applied at the base to control general current flow from collector to emitter through the transistor. A transistor acts as a gate or switch for electronic signals.

Automotive Information

Another name for the powertrain control module is the __________ control unit.

engine

The main computer or powertrain control module (PCM) uses pre-programmed software to analyze the input received from sensors and produce output signals to adjust vehicle performance and operation. (Engine control unit (ECU) is another name for the PCM.)

General Science

Which of the following would you find in the side view mirror of a car?

convex mirror

A concave (or converging) mirror bulges inward and focuses reflected light on the mirror's focal point where the mirror's angles of incidence converge. In contrast, a convex (or diverging) mirror bulges outward and diffuses the light waves that strike it. A common use of a concave mirror is in a reflecting telescope, a common use of a convex mirror is in the side view mirror of a car.

Word Knowledge
The singer's prominence ensured that the concert would sell out.
renown
Importance.
Automotive Information

The catalytic converter output consists primarily of:

water and carbon dioxide

The catalytic converter converts pollutants in exhaust gas into less pollutant substances like carbon dioxide and water.

General Science

In the pancreas, lipase converts fat to:

glycerol and fatty acids

The acids produced by the pancreas contain several enzymes that aid in digestion.  Lipase converts fat to glycerol and fatty acids. Pancreatic amylase breaks down complex carbohydrates into simple sugars. Trypsin converts polypeptides (the building blocks of protein) into amino acids.