Free Printable Logic 1 - Conjunction and Disjunction

1.

In a three-variable truth table, there are six rows.

a)

true

b)

false

2.

If just one statement in a conjunction is false, the whole conjunction is still true.

a)

true

b)

false

3.

p and q are both true propositions and r is a false proposition.

What is the truth value of $p\vee\left(q\wedge\left(r'\right)\right)$ ?

a)

true

b)

false

c)

neither true nor false

d)

information is insufficient

4.

Determine the truth values of the propositions p, q, and r that will make $\left(p\wedge q\right)\vee r$ false:

a)

q should be false. p and r may either be both true or both false.

b)

p should be false. Either q is true and r is false, or vice versa, or both are true.

c)

p and q should be false. r may be true or false.

d)

r should be false. p and q may take any truth value except for both are true.

5.

Statement: "12 divisible by 3 and 3 is a prime number"

Is this statement True or False?

a)

False

b)

True

6.

Statement: "16 - 4 = 10 or 4 is an even number"

Is this statement True or False?

And what kind of compound statement is this?

a)

True; Disjunction

b)

True; Conjunction

c)

False; Disjunction

d)

False; Conjunction

7.

What is the condition for the Disjunction to be True?

a)

At least one statement must be True

b)

All the statements must be True

c)

All the statements could be True

d)

At least one statement could be True

8.

What is the condition for the Conjunction to be True?

a)

At least one statement must be True

b)

All the statements must be True

c)

All the statements could be True

d)

At least one statement could be True

9.

A sentence that can be classified as either true or false is a/an .........

a)

argument

b)

logic

c)

statement

d)

question

10.

Determine true statements :

a)

-3 > -6

b)

5 is a factor of 200

c)

All prime numbers are odd numbers

d)

All triangles have equal sides.

11.

Choose a statement from sentences below :

a)

Let’s play in the field.

b)

Is 3 + 2 = 8?

c)

– 6 < –8.

d)

x + 3 = 5.

12.

Choose a negation for the following statement :

41 is a prime number

a)

One of the prime number is 41.

b)

41 is not a prime number.

c)

41 is an odd number

d)

41 is not an even number

13.

Determine the truth value

p: "2 or 3 is a prime factor of 6."

a)

1

b)

0

14.

If $p:\ "\ 4+7\le2^3\ "$ , find the negation of p and its truth value.

a)

$p':\ "\ 4+7>2^3"$ $p'\equiv0$

b)

$p':\ "4-7\le2^3"$ $p'\equiv0$

c)

$p':\ "\ 4+7>2^3"$ $p'\equiv1$

d)

$p':\ "\ 4+7<2^3"$ $p'\equiv1$

Logic 1 - Conjunction and Disjunction

Total questions: 14

Worksheet time: 14mins

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