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Byju's Answer
Standard XII
Mathematics
Nth Term of GP
The converse ...
Question
The converse of the contrapositive of the conditional statement
∼
p
→
q
is
A
p
→
∼
q
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B
q
→
p
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C
∼
q
→
p
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D
p
→
q
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Solution
The correct option is
A
p
→
∼
q
∼
p
→
q
Contrapositive :
∼
q
→
∼
(
∼
p
)
=
∼
q
→
p
Converse :
p
→
∼
q
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Assertion :The contrapositive and converse of the statement: "If
x
is a prime number, then
x
is odd" are:
Contrapositive: "If
x
is not odd, then
x
is not a prime number.
Converse: If
x
is odd, then
x
is a prime number. Reason: If statement
p
implies
q
, then its contrapositive is
∼
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implies
∼
p
, and its converse is
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implies
p
.
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Standard XII Mathematics
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