Free Printable Mathematical Expressions and Sentences

1.

If $p\wedge\ q\$ is false and $p\vee q$ is true , then which of the following is not True.

a)

$p\vee q$

b)

$p\leftrightarrow q$

c)

$\sim p\vee\sim q$

d)

$q\vee\sim p$

2.

$\left(p\wedge q\right)\rightarrow r\$ is logically equivalent to

a)

$p\rightarrow\left(q\rightarrow r\right)$

b)

$\left(p\wedge q\right)\rightarrow\sim r$

c)

$\left(\sim p\vee\sim q\right)\rightarrow\sim r$

d)

$\left(p\vee q\right)\rightarrow r$

3.

Ifis F , $p\rightarrow q\$ is F then the truth values of p and q are

a)

T,T

b)

T,F

c)

F,T

d)

F,F

4.

The negation of inverse of $\sim p\rightarrow q\$ is

a)

$q\wedge p$

b)

$\sim p\wedge\sim q$

c)

$p\wedge q$

d)

$\sim q\rightarrow\sim p$

5.

The negation of $p\wedge\left(q\rightarrow r\right)$ is

a)

$\sim p\wedge\left(\sim q\rightarrow\sim r\right)$

b)

$p\vee\left(\sim q\vee r\right)$

c)

$\sim p\wedge\left(\sim q\rightarrow\sim r\right)$

d)

$\sim p\vee\left(\sim q\wedge\sim r\right)$

6.

Examine $\left(p\wedge q\right)\wedge\left(\sim p\vee\sim q\right)$

a)

Tautology

b)

Contradiction

c)

Contingency

d)

None of these

7.

Dual of $\left(p\wedge t\right)\vee\left(c\wedge\sim q\right)$

a)

$\left(p\vee c\right)\wedge\left(t\wedge q\right)$

b)

$\left(p\vee c\right)\wedge\left(c\wedge\sim q\right)$

c)

$\left(p\wedge c\right)\vee\left(t\wedge q\right)$

d)

$\left(p\vee c\right)\wedge\left(t\vee\sim q\right)$

8.

7>3 and 4 >11 Negation of Statement is

a)

$7<3\ or\ 4<11$

b)

$7\le3\ and\ 4\le11$

c)

$7\le3\ or\ 4\le11$

d)

$7\ne3\ and\ 4\ne11$

9.

This symbol, ∧, means?

a)

and

b)

or

c)

not

d)

implies

10.

This symbol, ∨, means?

a)

and

b)

or

c)

not

d)

implies

11.

This symbol, ↔, means?

a)

and

b)

or

c)

if and only if

d)

implies

12.

This symbol, ↔, means?

a)

and

b)

or

c)

if and only if

d)

implies

13.

T Λ F =

a)

T

b)

F

c)

Uncertain

14.

T V F =

a)

T

b)

F

c)

Uncertain

15.

T ↔ F =

a)

T

b)

F

c)

Uncertain

16.

What type of logic is this table showing:

a)

AND

b)

OR

c)

NOR

d)

XOR

17.

A (a) can usually be formed by placing the word "not" into the original statement.

18.

A (a) is a pronoun or a letter that represents a value.

19.

Let p represent: The jeep is white.

Let q represent: Molly loves ballet.

Let r represent: He watches netflix.

Which of the following represents the given sentence in symbolic form?

"The jeep is not white."

a)

$\sim q$

b)

$\sim\left(\sim q\right)$

c)

$\sim r$

d)

$\sim p$

20.

Let p represent: The jeep is white.

Let q represent: Molly loves ballet.

Let r represent: He is watching netflix.

Which of the following represents the given sentence in symbolic form?

"Molly does not love ballet."

a)

$q$

b)

$\sim r$

c)

$\sim\left(\sim q\right)$

d)

$\sim q$

21.

Let p represent: The jeep is white.

Let q represent: Molly loves ballet.

Let r represent: He is watching netflix.

Which of the following represents the given sentence in symbolic form?

"It is not the case that he is not watching netflix."

a)

$\sim r$

b)

$\sim\left(\sim r\right)$

c)

$\sim q$

d)

$\sim\left(\sim\left(\sim p\right)\right)$

22.

Which of the following goes in the missing boxes? State from top to bottom.

a)

F, F

b)

T, T

c)

F, T

d)

T, F

23.

Let p represent: The jeep is white.

Let q represent: Molly loves ballet.

Let r represent: He watches netflix.

Which of the following represents the given sentence in symbolic form?

"It is not the case that he watches netflix."

a)

$\sim r$

b)

$\sim p$

c)

$\sim\left(\sim r\right)$

d)

$r$

24.

Express the compound statement in words:

p ∧~q

a)

China is in Africa or Rwanda is not in Asia.

b)

China is not in Africa or Rwanda is in Asia.

c)

China is in Africa and Rwanda is not in Asia.

d)

China is not in Africa and Rwanda is not in Asia.

25.

Which of the statements cannot possibly be true?

a)

p∧q

b)

~p∧q

c)

p∧~q

d)

~p∧~q

e)

~(p∧q)

Mathematical Expressions and Sentences

Total questions: 25

Worksheet time: 14mins

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