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Byju's Answer
Standard XII
Mathematics
Compound Statement
Which of the ...
Question
Which of the following statements is a tautology?
A
(
∼
p
∨
q
)
→
∼
(
p
∨
∼
q
)
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B
(
∼
p
∨
∼
q
)
→
p
∨
q
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C
(
p
∨
∼
q
)
∧
(
p
∨
q
)
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D
(
∼
p
∨
∼
q
)
∨
(
p
∨
q
)
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Solution
The correct option is
D
(
∼
p
∨
∼
q
)
∨
(
p
∨
q
)
By the table we can get that the answer is
option
D
.
Suggest Corrections
1
Similar questions
Q.
Let (i)
(
p
∨
q
)
∨
(
p
∨
∼
q
)
,
(ii)
(
p
∧
q
)
∧
(
p
∨
∼
q
)
,
(iii)
(
p
∨
q
)
∧
(
p
∨
∼
q
)
,
(iv)
(
p
∨
q
)
∨
(
p
∧
∼
q
)
which one is tautology
Q.
Which of the following is a tautology?
(a) p
⇒
(q
∨
~ q)
(b) p
⇔
(~q
∧
p)
(c) p
⇔
(p
∧
~ p)
(d) (p
∧
~ p)
∧
q
Q.
Consider the following statements:
Statement I :
(
p
∧
∼
q
)
∧
(
∼
p
∧
q
)
is a fallacy.
Statement II :
(
p
→
q
)
↔
(
∼
q
→
∼
p
)
is a tautology.
Q.
Statement 1:
∼
(
p
↔
∼
q
)
is equivalent to
p
↔
q
Statement 2
:
∼
(
p
↔
∼
q
)
is a tautology
Q.
Consider
Statement I:
(
p
∧
∼
q
)
∧
(
∼
p
∧
q
)
is a fallacy.
Statement II:
(
p
→
q
)
↔
(
∼
q
→
∼
p
)
is a tautology.
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