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Sample Practice Test Questions

Word Knowledge
Turmoil most nearly means:
chaos
Extreme confusion, agitation.
Word Knowledge
His incredible perception made him the best detective on the force.
cognition
Capacity for seeing or understanding.
Automotive Information

What cylinder arrangement would be most common in a four cylinder front-wheel drive vehicle?

inline

Cylinder number and arrangement depends on the purpose of the engine. Smaller (four and six cylinder) engines in front-wheel drive vehicles often use an inline design which orients cylinders vertically over the crankshaft and aligns them in a row. Other common orientations are a horizontal/opposed design which places cylinders flat facing each other with the crankshaft between them and a V-type design common in six and eight cylinder engines that features one cylinder head per block of cylinders oriented at a 60 to 90 degree angle to each other with the crankshaft at the bottom of the V.

Arithmetic Reasoning

What is -z2 + 5z2?

4z2

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-1z2 + 5z2
(-1 + 5)z2
4z2

Electronics Information

The formula specifying Ohm's law is which of the following?

V = IR

Ohm's law specifies the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit: V = IR.

Math Knowledge

Solve for y:
9y - 9 < \( \frac{y}{5} \)

y < 1\(\frac{1}{44}\)

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 < sign and the answer on the other.

9y - 9 < \( \frac{y}{5} \)
5 x (9y - 9) < y
(5 x 9y) + (5 x -9) < y
45y - 45 < y
45y - 45 - y < 0
45y - y < 45
44y < 45
y < \( \frac{45}{44} \)
y < 1\(\frac{1}{44}\)

Arithmetic Reasoning

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?

25:2

The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.

Arithmetic Reasoning

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

distributive property for division

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

Arithmetic Reasoning

What is (z5)4?

z20

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(z5)4
z(5 * 4)
z20

General Science

50°F is how many °C?

10

The formula to convert from F° to C° is:

\(C° = {5 \over 9} (F° - 32)\)

plugging in our values gives:

\(C° = {5 \over 9} (50 - 32)\)

\(C° = {5 \over 9} (18)\)

\(C° = {90 \over 9}\)

\(C° = 10\)