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Byju's Answer
Standard XII
Mathematics
Validation of Statement
If p is true,...
Question
If
p
is true,
q
is false and
r
is false, then which of the following is true?
A
(
p
∨
q
)
⇒
r
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B
p
∧
∼
(
q
∨
r
)
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C
(
p
∨
q
)
∧
r
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D
p
⇒
∼
(
q
⇒
r
)
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Solution
The correct option is
B
p
∧
∼
(
q
∨
r
)
p
=
T
,
q
=
F
,
r
=
F
p
q
r
p
∨
q
∼
(
q
∨
r
)
q
⇒
r
(
p
∨
q
)
⇒
r
p
∧
∼
(
q
∨
r
)
(
p
∨
q
)
∧
r
p
⇒
∼
(
q
⇒
r
)
T
F
F
T
T
T
F
T
F
F
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