Deck 3: Logic

Question 1

Write the negation of the statement.
It is not true that the bus is yellow

A)The bus is not yellow.
B)It is true that the bus is not yellow.
C)The bus is yellow.

Answer 1

C

Question 2

Write the negation of the statement.
At least one platypus has been to the arctic.

A)No platypus has been to the arctic.
B)Not every platypi has been to the arctic.
C)All platypi have been to the arctic.

Answer 2

A

Question 3

Let p = "My homework is finished." Write the following statement in symbols.
My homework is not finished.

Answer 3

Question 4

Classify each statement as simple or compound.
I. Jeff's brother is two years old.
Ii. I am going to get a dog or a cat.
Iii. 4 + 1 = 4
Iv. 2 × 0 = 0

A)Compound, Compound, Simple, Compound
B)Simple, Compound, Simple, Simple
C)Simple, Simple, Simple, Simple
D)Compound, Compound, Compound, Compound

Question 5

State whether the sentence is a statement or not.
Close the door.

Question 6

Determine whether each sentence is a statement or not.
I. He has blond hair.
Ii. He is not home.
Iii. The sky is brown.
Iv. Are you going to try again?

A)Yes, No, No, No
B)No, Yes, No, No
C)No, No, Yes, No
D)Yes, Yes, Yes, No

Question 7

Which of the following is a simple statement?

A)My dad is a plumber and an electrician.
B)If he does his chores, he gets his allowance.
C)3 + 3 = 5
D)Neither food nor drink is allowed in that theater.

Question 8

Identify the quantifier in the statement as either universal or existential.
There is a hair in my soup.

A)Universal
B)Existential

Question 9

Decide whether each statement is simple or compound.
i. If you win the next round, you will be a finalist.
ii. She is not feeling well.
iii. 7 + 2 = 14
iv. He is taking history and economics.

Question 10

Let p = "Daphne speaks Spanish." Let q = "Daphne speaks French." Write the following statement in
symbols.
Daphne speaks Spanish, or Daphne does not speak French.

Question 11

Decide if the statement is simple or compound.
I will go with you if and only if we are on time.

Question 12

Let p = "Steve has a cat." Let q = "Steve has a dog." Write the following statement in symbols.
Steve does not have a cat, and Steve does not have a dog.

Question 13

Write the negation of the statement.
The dog is spotted.

Question 14

Let p = "Ed plays the guitar." Let q = "Ed plays the piano." Write the following statement in symbols.
It is not true that Ed does not play the guitar or Ed does not play the piano.

Question 15

Identify the quantifier in the statement as universal or existential. Then write the negation of the statement.
Some millionaires are illiterate.

A)Existential, All millionaires are literate.
B)Existential, All millionaires are illiterate.
C)Universal, Some millionairs are literate.
D)Universal, All millionaires are illiterate.

Question 16

Identify the statement as a conjunction, disjunction, conditional, or biconditional.
If Raffi misses the goal, then we will lose the game.

A)Conjunction
B)Conditional
C)Disjunction
D)Biconditional

Question 17

Identify the statement as a conjunction, disjunction, conditional, or biconditional.
Rory will go to Yale, or she will go to Harvard.

A)Conditional
B)Biconditional
C)Disjunction
D)Conjunction

Question 18

Let p = "Paolo bicycles to school." Let q = "Roberto drives to school." Write the following statement
in symbols.
If Roberto drives to school, then Paolo bicycles to school.

Question 19

Which sentence is not a statement?

A)Ron got an A on the test.
B)Stop that.
C)2 + 5 = 3
D)Mia lives in Los Angeles.

Question 20

Is the following sentence a statement?
Neither Ben nor Alonzo is going camping.

Question 21

Let p = "Greg is in my history class." Let q = "Lew is in my Spanish class." Write the following
statement in words.

Question 22

Complete a truth table for the following statement.

A)
B)
C)
D)

Question 23

Given that p = "Cancer can be fatal." and q = "There is a cure for all forms of cancer." identify the
truth value for each simple statement, then use that to decide if is true or false.

Question 24

Complete the following truth table for the statement .

A)
B)
C)
D)

Question 25

Fill out the following truth table.

Question 26

Let p = "I am late for work." and q = "I had a flat tire." Under what circumstances would the
Conjunction be true?

A)If you had a flat tire.
B)If you were late to work and had a flat tire.
C)If you were late to work.
D)If you were late to work or had a flat tire.

Question 27

Given that p = "Cancer can be fatal." and q = "There is a cure for all forms of cancer." identify the
truth value for each simple statement, then use that to decide if is true or false.

Question 28

What are the values in the final column of the truth table below?

A)
B)
C)
D)

Question 29

Complete the following truth table.

Question 30

Complete the following truth table for the statement p

A)
B)
C)
D)

Question 31

Complete the following truth table.

A)
B)
C)
D)

Question 32

Let p = "Jake's favorite food is pizza." Let q = "Ian's favorite food is hamburgers." Write the
following statement in words.

Question 33

Construct a truth table for the following statement. How many T's are in the final column?

A)3
B)2
C)4
D)1

Question 34

Let p = "Sally is three years old." Let q = "Sally's mom is thirty." Write the following statement in
words.

Question 35

Complete the following truth table.

Question 36

Let p = "Sally is three years old." Let q = "Sally's mom is thirty." Write the following statement in
words.

Question 37

Let p = "Paolo bicycles to school." Let q = "Roberto drives to school." Write the following statement
in symbols.
Roberto drives to school if and only if Paolo bicycles to school.

Question 38

Complete the following truth table.

Question 39

Let p = "I am hungry." Let q = "I am going to have a snack." Write the following statement in
words.

Question 40

Let p = "Daphne speaks Spanish." Let q = "Daphne speaks French." Write the following statement in
symbols.
It is false that Daphne speaks Spanish and Daphne speaks French.

Question 41

A statement like is ambiguous without parentheses.

A)a. conjunction; b. disjunction
B)a. conditional; b. biconditional
C)a. biconditional; b. conditional
D)a. disjunction; b. conjunction

Question 42

Find the converse of the statement.

A)
B)
C)
D)

Question 43

Determine if the two statements are logically equivalent, negations, or neither.

A)Negations
B)Logically equivalent
C)Neither

Question 44

Write the converse of the conditional statement.
If I get a speeding ticket, my parents do not pay for my insurance.

A)If my parents do not pay for my insurance, I get a speeding ticket.
B)If I do not get a speeding ticket, my parents pay for my insurance.
C)If I get a speeding ticket, my parents pay for my insurance.
D)If my parents pay for my insurance, I do not get a speeding ticket.

Question 45

Determine if the two statements are logically equivalent, negations, or neither.

A)Negations
B)Logically equivalent
C)Neither

Question 46

Find the inverse of the statement.

A)
B)
C)
D)

Question 47

Find the contrapositive of the statement.

A)
B)
C)
D)

Question 48

Identify the type of statement using the hierarchy of connectives, and rewrite using parentheses to indicate
Order.

A)
B)
C)
D)

Question 49

Use De Morgan's laws to write the negation of the statement.
The bread is stale and it is hard.

A)The bread isn't stale and it is hard.
B)The bread isn't stale and it is not hard.
C)The bread isn't stale or it is not hard.
D)The bread isn't stale or it is hard.

Question 50

A new weight loss supplement claims that if you take this product daily and you cut your
Calorie intake by 10%, you will loose at least 10 pounds in the next 4 months.
Let p be "you take this product daily," q be "you cut your calorie intake by 10%," and r be "
You will lose at least 10 pounds in the next 4 months." Write the compound statement in symbolic
Form, using conjunctions and the conditional.

A)
B)
C)
D)

Question 51

Write the inverse of the conditional statement.
If I get a speeding ticket, my parents do not pay for my insurance.

A)If I get a speeding ticket, my parents pay for my insurance.
B)If my parents pay for my insurance, I do not get a speeding ticket.
C)If I do not get a speeding ticket, my parents pay for my insurance.
D)If my parents do not pay for my insurance, I get a speeding ticket.

Question 52

Determine if the two statements are logically equivalent, negations, or neither.

A)Neither
B)Negations
C)Logically equivalent

Question 53

Use De Morgan's laws to write the negation of the statement.
The dog is yellow or it is fuzzy.

A)The dog isn't yellow or it is fuzzy.
B)The dog isn't yellow and it is fuzzy.
C)The dog isn't yellow or it isn't fuzzy.
D)The dog isn't yellow and it isn't fuzzy.

Question 54

Write the contrapositive of the conditional statement.
If I get a speeding ticket, my parents do not pay for my insurance.

A)If my parents pay for my insurance, I do not get a speeding ticket.
B)If my parents do not pay for my insurance, I get a speeding ticket.
C)If I do not get a speeding ticket, my parents pay for my insurance.
D)If I get a speeding ticket, my parents pay for my insurance.

Question 55

Determine if the two statements are logically equivalent, negations, or neither.

A)Logically equivalent
B)Neither
C)Negations

Question 56

Determine whether the statement is a tautology, a self-contradiction, or neither.

A)Self-contradiction
B)Neither
C)Tautology

Question 57

Determine whether the statement is a tautology, a self-contradiction, or neither.

A)Self-contradiction
B)Neither
C)Tautology

Question 58

A new beauty cream claims that if you use this product daily and you drink 8 glasses of
Water a day, you will see a lessening of wrinkles on your face within 6 weeks.
If you use the product daily and you don't drink 8 glasses of water a day, and then
You don't see a lessening of wrinkles on your face, is the claim made by the advertiser true or false?

A)True
B)False

Question 59

Determine if the two statements are logically equivalent, negations, or neither.

A)Negations
B)Neither
C)Logically equivalent

Question 60

Determine whether the statement is a tautology, a self-contradiction, or neither.

A)Tautology
B)Neither
C)Self-contradiction

Question 61

Identify p, q, and r. Then translate the argument into symbols and determine whether it is valid or
invalid.

Question 62

Use a truth table to determine whether the argument is valid.

Question 63

Determine whether the following argument is valid, using the given forms of valid arguments and fallacies.

A)Invalid
B)Valid

Question 64

Write the argument in symbols; then decide whether the argument is valid by using the common forms of valid
Arguments and fallacies.

A)
B)
C)
D)

Question 65

Identify p and q. Then translate the argument into symbols and determine whether it is valid or
invalid.

Question 66

Write the argument in symbols; then decide whether the argument is valid by using the common forms of valid
Arguments and fallacies.

A)
B)
C)
D)

Question 67

Determine the validity of the following argument.

A)Invalid
B)Valid

Question 68

Identify p and q. Then translate the argument into symbols and determine whether it is valid or
invalid.

Question 69

Determine the validity of the following argument.

A)Invalid
B)Valid

Question 70

Determine the validity of the following argument.

A)Valid
B)Invalid

Question 71

Write the contrapositive of the conditional statement.
I will wear the blue dress if I get invited to prom.

A)If I wear the blue dress then I will get invited to the prom
B)If I don't get invited to prom, then I won't wear the blue dress.
C)If I don't wear the blue dress, then I won't get invited to the prom.
D)If I don't wear the blue dress, then I will get invited to the prom.

Question 72

Identify p and q. Then translate the argument into symbols and determine whether it is valid or
invalid.

Question 73

Draw an Euler circle diagram for the statement.
No math classes are easy.

Question 74

Use a truth table to determine whether the argument is valid.

Question 75

Draw an Euler circle diagram for the statement.
All kittens are cats.

A)
B)
C)
D)

Question 76

Determine whether the following argument is valid, using the given forms of valid arguments and fallacies.

A)Valid
B)Invalid

Question 77

Determine the validity of the following argument.

A)Valid
B)Invalid

Question 78

Determine whether the following argument is valid, using the given forms of valid arguments and fallacies.

A)Invalid
B)Valid

Question 79

Draw an Euler circle diagram for the statement.
Some homes are not single story houses.

A)
B)
C)
D)

Question 80

Write the converse of the conditional statement.
I will eat two hamburgers if I am really hungry.

A)If I'm not really hungry, then I won't eat two hamburgers.
B)If I don't eat two hamburgers, then I won't be really hungry.
C)If I don't eat two hamburgers, then I will be really hungry.
D)If I eat two hamburgers then I will be really hungry