Multiple Choice Identify the
choice that best completes the statement or answers the question.

A
B
C
D
1.

Which is the inverse of the sentence, “If Sam leaves, then I will
stay.”?

a.

If I stay, then Sam will leave. b.

If Sam does not leave, then I will not
stay. c.

If Sam leaves, then I will not stay. d.

If I do not stay, then Sam will not
leave.

A
B
C
D
2.

According to the diagram, which of the following is
true?

a.

All students in homeroom 234 belong to either the Math Club or the Science
Club. b.

All students in homeroom 234 belong to both the Math Club and the Science
Club. c.

No student in homeroom 234 belongs to both the Math Club and the Science
Club. d.

Some students in homeroom 234 belong to both the Math Club and the Science
Club.

A
B
C
D
3.

Let a represent “x is an odd number”. Let b
represent “x is a multiple of 3”. When x is 7, which of the
following is true?

A
B
C
D
4.

Which conclusion logically follows the true statements? “If
negotiations fail, the baseball strike will not end.” “If the baseball strike does
not end, the World Series will not be played.”

a.

If the baseball strike ends, the World Series will be played. b.

If negotiations do
not fail, the baseball strike will not end. c.

If negotiations fail, the World Series will not
be played. d.

If negotiations fail, the World Series will be
played.

A
B
C
D
5.

Which of the following groups of statements represents a valid
argument?

a.

Given: All quadrilaterals have four
sides. All squares have four
sides. Conclusion: All quadrilaterals are squares. b.

Given: All
squares have congruent sides.
All rhombuses have congruent sides. Conclusion: All rhombuses are
squares. c.

Given: All four sided figures are
quadrilaterals. All parallelograms
have four sides. Conclusion: All parallelograms are quadrilaterals. d.

Given: All
rectangles have angles. All
squares have angles. Conclusion: All rectangles are squares.

A
B
C
D
6.

Which is the contrapositive of the statement, “If I am in Richmond,
then I am in Virginia”?

a.

If I am in Virginia, then I am in Richmond. b.

If I am not in
Richmond, then I am not in Virginia. c.

If I am not in Virginia, then I am not in
Richmond. d.

If I am not in Virginia, then I am in Richmond.

A
B
C
D
7.

a.

All football players play offense or defense. b.

No football players
play offense and defense. c.

All football players play
defense. d.

Some football players play offense and defense.

A
B
C
D
8.

a.

All happy people are musicians. b.

All musicians like music. c.

Some happy people do
not like music. d.

Some musicians like music.

A
B
C
D
9.

Consider the following arguements. If the first two statements are true, in
which argument is the 3rd statement an incorrect conclusion?

a.

1 If John studies, then he will pass the test. 2 If John passes the test, then he
will not be grounded. 3 If John is grounded, then he will study. b.

1 If it rains, then
we will stay inside. 2 If we stay inside, then we will play games. 3 If it rains, then we will
play games. c.

1 If we win the game, then we will win the championship. 2 If we win the
championship, then we will get a trophy. 3 If we do not get a trophy, then we did not win the
game. d.

1 If Susan eats her broccoli, then she will get ice cream. 2 If Susan gets ice
cream, then she will stay up late. 3 If Susan eats her brocoli, then she will stay up
late.

A
B
C
D
10.

a.

No cat owners also own dogs. b.

No dog owners also own
fish. c.

No fish owners also own cats. d.

No pet owner owns more than one
pet.

A
B
C
D
11.

a.

~ q ® ~ p b.

~ p ® ~ q c.

q ®
p d.

p ® q

A
B
C
D
12.

Let p
represent
and let q
represent
z is a rational number. Which is a representation of the statement
below?
If , then z is not a rational number.
a.

~p ® ~q b.

p ® q c.

p ®
~q d.

~q ® ~p

A
B
C
D
13.

According to the Venn diagram, which statement is
true?
a.

All isosceles triangles are also equilateral triangles. b.

All equilateral
triangles are also isosceles triangles. c.

Some equilateral triangles are also isosceles
triangles. d.

No isosceles triangles are equilateral triangles

A
B
C
D
14.

Which of the following statements represents a valid argument?

a.

If a > b and a > c , then b >
c . b.

If a > b and b > c , then a >
c . c.

If a < b and a < c , then c <
b . d.

If a > b and a > c , then a > b +
c .