Multiple Choice
Identify the choice that best completes the
statement or answers the question.
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1.
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What is the converse of the statement “If an angle is acute, then it is
not equal to 90°”
A | If an angle is acute, then it is not equal to 90°. | B | If an angle is not
acute, then it is equal to 90°. | C | If an angle is equal to 90°, then it is not
acute. | D | If an angles is not equal to 90°, then it is
acute. |
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2.
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Given the statement “If you lose, then I win”,
how is the statement “If I don’t win, then you don’t lose.” related to
it?
A | converse | B | inverse | C | contrapositive | D | biconditional |
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3.
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Given the statement “If it barks like a dog, then
it’s not a cat.”, how is the statement
“If it does not bark like a dog, then
it’s a cat.” related to it?
A | converse | B | inverse | C | contrapositive | D | biconditional |
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4.
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What is the inverse of the statement ~p 
q?
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5.
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What is the contrapositive of the statement ~q 
~p?
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6.
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What is the converse of the statement ~q 
p?
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7.
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Let m represent “x is a multiple of
four”
Let n represent “x is even”
If x = 10, then which of the
following is true?
A | m ^ n | B | ~m ^ ~n | C | ~m ^
n | D | m ^ ~n |
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8.
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Let a represent “x is a multiple of
5”
Let b represent “x is an odd number”
If x = 30, then which of
the following is true?
A | a ^ b | B | ~a ^ ~b | C | ~a ^
b | D | a ^ ~b |
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9.
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Let p represent “Sally will not be tardy to
class”
Let q represent “Sally has a hall pass”
Which of the following is ~q
v p?
A | Sally has a hall pass or Sally will not be tardy to class. | B | Sally will not be
tardy to class and Sally has a hall pass. | C | Sally will not be tardy to class or Sally has a
hall pass. | D | Sally does not have a hall pass or Sally will not be tardy to
class. |
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10.
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Use the Law of Syllogism to determine the conclusion for the
following statement:
If two lines are
perpendicular, then they form a right angle.
If two lines form a
right angle, then they will form four right angles.
A | If two lines are perpendicular, then they will form a right
angle. | B | If two lines form a right angle, then the two lines are
perpendicular. | C | If two lines are perpendicular, then they will form four right
angles. | D | None of the above. |
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