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COMPOUND COMPOSITION

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

V is a logical operator for

a)

Negation

b)

Conjunction

c)

Disjunction

d)

Conditional

2.

~ is a logical operator for

a)

Negation

b)

Conjunction

c)

Disjunction

d)

Conditional

3.

"implies" is used for which kind of statement?

a)

Biconditional

b)

Conjunction

c)

Disjunction

d)

Conditional

4.

"I have a brother and a sister."


Which logical operator is used in the statement?

a)

Negation

b)

Conjunction

c)

Disjunction

d)

Conditional

5.

Let

p = "You eat your supper tonight"

q = "You get desert"


What does ~p Ʌ q means?

a)

You don't eat your supper tonight but you get dessert.

b)

You eat your supper tonight and you get dessert.

c)

You don't eat your supper tonight and you don't get dessert.

d)

You don't eat your supper tonight or you get dessert.

6.

Let

p = "Birds have wings"

q = "Birds can fly"

r = "Birds can swim"


Write " (p→q) Ʌ ¬r " into English sentence.

a)

If birds have wings, then birds can fly, but birds can't swim.

b)

If birds have wings, then birds can fly, and birds can swim.

c)

If birds can fly, then birds have wings, but birds can't swim.

d)

If birds can fly, then birds have wings, and birds can swim.

7.

Let

P = "You do your homework."

Q = "You will be punished."


Write

"If you do your homework, you will not be punished"

by using variables and logical operators.

a)

P → ¬Q

b)

P → Q

c)

¬P → Q

d)

P ↔ ¬Q

8.

Which words are used in a conjunction?

a)

and

b)

but

c)

or

d)

not

9.

The logical operators are

a)

conjunction

b)

disjunction

c)

conditional

d)

negation

10.

A biconditional is denoted by

a)

↔

b)

→

c)

¬

d)

V