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Byju's Answer
Standard XI
Mathematics
Logical Connectives
The logical s...
Question
The logical statement
[
∼
(
∼
p
∨
q
)
∨
(
p
∧
r
)
∧
(
∼
q
∧
r
)
]
is equivalent to:
A
(
p
∧
r
)
∧
∼
q
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B
(
∼
p
∧
∼
q
)
∧
r
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C
∼
p
∨
r
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D
(
p
∧
∼
q
)
∨
r
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Solution
The correct option is
B
(
p
∧
r
)
∧
∼
q
s
[
∼
(
∼
p
∨
q
)
∧
(
p
∧
r
)
]
∧
(
∼
q
∧
r
)
≡
[
(
p
∧
∼
q
)
∨
(
p
∧
r
)
]
∧
(
∼
q
∧
r
)
≡
[
p
∧
(
∼
q
∨
r
)
]
∧
(
∼
q
∧
r
)
≡
p
∧
(
∼
q
∧
r
)
≡
(
p
∧
r
)
∼
q
Suggest Corrections
0
Similar questions
Q.
The logical statement
[
∼
(
∼
p
∨
q
)
∨
(
p
∧
r
)
]
∧
(
∼
q
∧
r
)
is equivalent to :
Q.
The statement
(
p
⇒
q
)
⇒
[
(
r
∨
p
)
⇒
(
r
∨
q
)
]
is
Q.
Let
p
,
q
,
r
denote the arbitary statements then the logical equivalance of the statement
p
⇒
(
q
∨
r
)
is
Q.
Let
p
,
q
,
r
be three logical statements. Then
p
→
(
q
∨
r
)
is equivalent to
Q.
The statement
[
(
p
⇒
q
)
∧
(
q
⇒
r
)
]
⇒
(
p
⇒
r
)
is
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