Mathematical Logic and Boolean Algebra Test

Result

Mathematical Logic and Boolean Algebra Test - 9

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Question 1
4 / -1

Which of the following is logically equivalent to ~ (~(P ⇒ q)?

A
p ˄ q

B
P ˄ ~ q

C
~p ˄ q

D
~ p ˄ ~ q

Solution
Question 2
4 / -1

~ (p ˅ q) is equal to

A
~ p ˅ ~ q

B
~ p ˄ ~ q

C
~ p ˅ q

D
p ˅ ~ q

Solution
Question 3
4 / -1

~ (p ˄ q) is equal to

A
~ p˅ ~ q

B
~ p˄ ~ q

C
~ p ˄ q

D
p ˄ ~ q

Solution
Question 4
4 / -1

(~(~p))˄q is equal to

A
~ p ˄ q

B
p ˄ q

C
p ˄ ~ q

D
~p ˄ ~ q

Solution
Question 5
4 / -1

~ (p ˅ (~q)) is equal to

A
~p˅q

B
(~p)˄q

C
~p ˄ ~p

D
~p˄ ~q

Solution
Question 6
4 / -1

~((~p)˄q) is equal to

A
p ˅ (~ q)

B
p˅q

C
p ˄ (~q)

D
~p˄ ~q

Solution
Question 7
4 / -1

~ ( p ⇔ q) is

A
~p˄ ~q

B
~p˅ ~q

C
(p ˄ ~q)˅(~p ˄q)

D
None of these

Solution
Question 8
4 / -1

p ⇒ q can also be written as

A
p⇒ ~q

B
~ p ˅ q

C
~q⇒ ~p

D
None of these

Solution
Question 9
4 / -1

If p, q, r are simple propositions with truth values T, F,T, then the truth value of (~p ˅ q) ˄~r ⇒ p is

A
True

B
False

C
True if r is false

D
True if q is true

Solution
Question 10
4 / -1

If (p ˄~r)⇒ (q ˅ r) is false and q and r are both false,then p is

A
True

B
False

C
May be true or false

D
Data insufficient

Solution