Deck 3: Introduction to Logic

Question 1

Decide whether or not the following is a statement.
Go fly a kite.

A)Statement
B)Not a statement

Answer 1

B

Question 2

Decide whether the statement is compound.
The sign read "Not for sale".

A)Compound
B)Not compound

Answer 2

B

Question 3

Decide whether or not the following is a statement.
Mary has a cat.

A)Statement
B)Not a statement

Answer 3

A

Question 4

Decide whether or not the following is a statement.
0.2 = .02

A)Statement
B)Not a statement

Question 5

Decide whether or not the following is a statement.
My favorite baseball team will win the pennant.

A)Not a statement
B)Statement

Question 6

Decide whether the statement is compound.

A)Compound
B)Not compound

Question 7

Decide whether or not the following is a statement.
Do you like this color?

A)Not a statement
B)Statement

Question 8

Decide whether or not the following is a statement.
One inch is 2.54 meters.

A)Not a statement
B)Statement

Question 9

Decide whether the statement is compound.
If Jane doesn't get up, then Ralph will be late for school.

A)Not compound
B)Compound

Question 10

Decide whether the statement is compound.

Question 11

Decide whether the statement is compound.
Computers are very helpful to people.

A)Compound
B)Not compound

Question 12

Decide whether the statement is compound.
I'll go to Mexico or Costa Rica for my next vacation.

A)Compound
B)Not compound

Question 13

Decide whether or not the following is a statement.
This test is too hard.

A)Not a statement
B)Statement

Question 14

Decide whether or not the following is a statement.
Not all flowers are roses.

A)Statement
B)Not a statement

Question 15

Decide whether the statement is compound.
She was singing a Simon and Garfunkel song.

A)Not compound
B)Compound

Question 16

Decide whether or not the following is a statement.
July 4 was a Monday.

A)Not a statement
B)Statement

Question 17

Decide whether or not the following is a statement.
8 + 10 = 19

A)Not a statement
B)Statement

Question 18

Decide whether the statement is compound.
Today is not Thursday.

A)Not compound
B)Compound

Question 19

Decide whether the statement is compound.
He's from England and he doesn't drink tea.

A)Compound
B)Not compound

Question 20

Decide whether the statement is compound.
If it rains, we won't play soccer.

A)Compound
B)Not compound

Question 21

Write a negation for the statement.
No fifth graders play soccer.

A)Not all fifth graders play soccer.
B)At least one fifth grader plays soccer.
C)All fifth graders play soccer.
D)No fifth grader does not play soccer.

Question 22

Convert the symbolic compound statement into words.
p represents the statement "Her name is Lisa." q represents the statement "She lives in Chicago."
Translate the following compound statement into words:

A)Her name is Lisa and she lives in Chicago.
B)Her name is Lisa or she lives in Chicago.
C)If her name is Lisa, she lives in Chicago.
D)Her name is Lisa and she doesn't live in Chicago.

Question 23

Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert
the compound statement into symbols.
Jim does not play football and Michael plays basketball.

Question 24

Write a negation for the statement.
Some people don't like walking.

A)Some people don't like driving.
B)Nobody likes walking.
C)Some people like walking.
D)Everyone likes walking.

Question 25

Write a negation for the statement.
Not all people like football.

A)Some people like football.
B)Some people do not like football.
C)All people do not like football.
D)All people like football.

Question 26

Convert the symbolic compound statement into words.
p represents the statement "It's raining in Chicago." q represents the statement "It's windy in Boston."
Translate the following compound statement into words:

A)It's raining in Chicago or it's windy in Boston.
B)It's raining in Chicago and it's windy in Boston.
C)If it's raining in Chicago, it's not windy in Boston.
D)It's not the case that it's raining in Chicago and windy in Boston.

Question 27

Convert the symbolic compound statement into words.
p represents the statement "It's Monday." q represents the statement "It's raining today."
Translate the following compound statement into words:

A)It's Monday or it's raining today.
B)It's Monday and it's raining today.
C)It's not Monday or it's not raining today.
D)It's not Monday and it's not raining today.

Question 28

Write a negation for the statement.
She earns more than me.

A)She does not earn less than me.
B)She does not earn more than me.
C)She earns less than me.
D)She earns the same as me.

Question 29

Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert
the compound statement into symbols.
Neither Jim plays football nor Michael plays basketball.

Question 30

Write a negation of the inequality. Do not use a slash symbol.

Question 31

Convert the symbolic compound statement into words.
p represents the statement : "Students are happy." q represents the statement: "Teachers are happy."
Translate the following compound statement into words:

A)Students are not happy and teachers are not happy.
B)Students are not happy or teachers are not happy.
C)It is not the case that students are happy or teachers are not happy.
D)It is not the case that students are happy and teachers are not happy.

Question 32

Write a negation of the inequality. Do not use a slash symbol.

Question 33

Write a negation for the statement.
Some athletes are musicians.

A)Some athletes are not musicians.
B)No athlete is a musician.
C)Not all athletes are musicians.
D)All athletes are musicians.

Question 34

Write a negation of the inequality. Do not use a slash symbol.

Question 35

Convert the symbolic compound statement into words.

Question 36

Convert the symbolic compound statement into words.
p represents the statement "It's Monday." q represents the statement "It's raining today."
Translate the following compound statement into words:

A)It's not Monday or it's not raining today.
B)It's not Monday and it's not raining today.
C)It's not the case that it's Monday and raining today.
D)It's Monday or it's raining today.

Question 37

Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert
the compound statement into symbols.
Jim does not play football and Michael does not play basketball.

Question 38

Write a negation of the inequality. Do not use a slash symbol.

Question 39

Convert the symbolic compound statement into words.
p represents the statement "Her name is Lisa." q represents the statement "She lives in Chicago."
Translate the following compound statement into words:

Question 40

Write a negation for the statement.
Everyone is asleep.

A)Not everyone is asleep.
B)Nobody is awake.
C)Everyone is awake.
D)Nobody is asleep.

Question 41

Let p represent a true statement and let q represent a false statement. Find the truth value of the given compound
statement.

Question 42

Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert
the compound statement into symbols.
Jim does not play football or Michael plays basketball.

Question 43

Decide whether the statement is true or false.
At least one irrational number is not an integer.

Question 44

Decide whether the statement is true or false.
Some real numbers are integers.

Question 45

Decide whether the statement is true or false.
The absolute value of any number is positive.

Question 46

Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert
the compound statement into symbols.
Jim does not play football or Michael does not play basketball.

Question 47

Let p represent a true statement and let q represent a false statement. Find the truth value of the given compound
statement.

Question 48

Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert
the compound statement into symbols.
It is not the case that Jim does not play football and Michael does not play basketball.

Question 49

Decide whether the statement is true or false.
Every rational number is an integer.

Question 50

Let p represent a true statement and let q represent a false statement. Find the truth value of the given compound
statement.

Question 51

Decide whether the statement is true or false.
Not every whole number is a real number.

Question 52

Decide whether the statement is true or false.
Not every real number is not a whole number.

Question 53

Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert
the compound statement into symbols.
Jim plays football and Michael plays basketball.

Question 54

Let p represent a true statement and let q represent a false statement. Find the truth value of the given compound
statement.

Question 55

Decide whether the statement is true or false.
No rational number is not a whole number.

Question 56

Decide whether the statement is true or false.
Some whole numbers are not integers.

Question 57

Let p represent a true statement and let q represent a false statement. Find the truth value of the given compound
statement.

Question 58

Decide whether the statement is true or false.
There exists a rational number that is an integer.

Question 59

Decide whether the statement is true or false.
All whole numbers are real numbers.

Question 60

Let p represent a true statement and let q represent a false statement. Find the truth value of the given compound
statement.

Question 61

Question 62

Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound
statement.

Question 63

Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound
statement.

Question 64

Question 65

Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound
statement.

Question 66

Question 67

Let p represent a true statement and let q represent a false statement. Find the truth value of the given compound
statement.

Question 68

Question 69

Question 70

Give the number of rows in the truth table for the compound statement.

A)128
B)64
C)256
D)16

Question 71

Question 72

Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound
statement.

Question 73

Question 74

Give the number of rows in the truth table for the compound statement.

A)10
B)32
C)8
D)25

Question 75

Question 76

Give the number of rows in the truth table for the compound statement.

A)4
B)8
C)9
D)16

Question 77

Give the number of rows in the truth table for the compound statement.

A)8
B)2
C)16
D)4

Question 78

Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound
statement.

Question 79

Let p represent a true statement and let q represent a false statement. Find the truth value of the given compound
statement.

Question 80

Give the number of rows in the truth table for the compound statement.

A)9
B)6
C)8
D)3