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Sample Practice Test Questions

Mechanical Comprehension

The science that deals with motion and the forces that produce motion is called which of the following?

mechanics

Mechanics deals with motion and the forces that produce motion.

Arithmetic Reasoning

If \( \left|x + 9\right| \) - 3 = 7, which of these is a possible value for x?

-19

First, solve for \( \left|x + 9\right| \):

\( \left|x + 9\right| \) - 3 = 7
\( \left|x + 9\right| \) = 7 + 3
\( \left|x + 9\right| \) = 10

The value inside the absolute value brackets can be either positive or negative so (x + 9) must equal + 10 or -10 for \( \left|x + 9\right| \) to equal 10:

x + 9 = 10
x = 10 - 9
x = 1
 x + 9 = -10
x = -10 - 9
x = -19

So, x = -19 or x = 1.

Word Knowledge
The drab winter scene made Keisha long for the vibrant colors of spring.
dreary
Dull, monotonous.
Word Knowledge
Liability most nearly means:
handicap
A person or thing whose presence or behavior is likely to cause embarrassment or put one at a disadvantage.
Word Knowledge
Appalling most nearly means:
dreadful
Inspiring dismay or disgust.
Word Knowledge
The soldiers made a massive charge to repel the invaders.
repulse
To resist, reject.
Math Knowledge
c2 - a2

For this diagram, the Pythagorean theorem states that b2 = ?

c2 - a2

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)

Word Knowledge
Archaic most nearly means:
antiquated
Characteristic of an earlier time.
Mechanical Comprehension

A watt is the unit for which of the following?

power

Power is the rate at which work is done, P = w/t, or work per unit time. The watt (W) is the unit for power and is equal to 1 joule (or newton-meter) per second. Horsepower (hp) is another familiar unit of power used primarily for rating internal combustion engines. 1 hp equals 746 watts.

Math Knowledge

Which of the following statements about parallel lines with a transversal is not correct?

same-side interior angles are complementary and equal each other

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).