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Sample Practice Test Questions

General Science

Which of the following is the formula for power?

\(P = {w \over t}\)

Power is the rate at which work is performed or work per unit time:  \(P = {w \over t}\)  and is measured in watts (W).

Arithmetic Reasoning

a(b + c) = ab + ac defines which of the following?

distributive property for multiplication

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

Mechanical Comprehension

Concurrent forces:

pass through a common point

Collinear forces act along the same line of action, concurrent forces pass through a common point and coplanar forces act in a common plane.

General Science

An element in the physical state of __________ maintains neither a constant volume nor a constant shape.

gas

The gaseous state occurs at a higher temperature range than the solid and liquid states of the same substance. In this state, molecules flow very freely around each other and will spread out as far as they're able. Gases maintain neither a constant volume nor a constant shape.

Math Knowledge

Factor y2 - 4y - 32

(y - 8)(y + 4)

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -32 as well and sum (Inside, Outside) to equal -4. For this problem, those two numbers are -8 and 4. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 4y - 32
y2 + (-8 + 4)y + (-8 x 4)
(y - 8)(y + 4)

Word Knowledge
Methodical most nearly means:
systematic
Performed in an orderly manner.
Word Knowledge
Grandiose most nearly means:
pretentious
With an affectation of grandeur.
Math Knowledge

Which types of triangles will always have at least two sides of equal length?

equilateral and isosceles

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.

Word Knowledge
Her excellent lecture illuminated the complicated subject of nuclear physics.
elucidate
To make clear.
Automotive Information

A __________ is designed to drive a pair of wheels while allowing them to rotate at different speeds.

differential

A differential is designed to drive a pair of wheels while allowing them to rotate at different speeds. A transaxle is a transmission that incorporates the differential in one package. Most front-wheel drive cars use a transaxle while rear-wheel drive cars use a transmission and separate differential connected via a drive shaft. The differential is incorporated into the drive axle which splits engine power delivered by the drive shaft between the two drive wheels. All-wheel drive cars typically use a transaxle that includes an output shaft to the rear differential.