Question

# Which of the following is(are) incorrect for the statement p and q ?

A
pq is true when atleast one from p and q is true.
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B
pq is true when p is true and q is false.
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C
pq is true only when both p and q are true.
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D
None of these.
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Solution

## The correct options are A p∧q is true when atleast one from p and q is true. B p→q is true when p is true and q is false. C p↔q is true only when both p and q are true.A) p q is true only when both p and q are true so option (A)is incorrect.(B) we know that p q is false only when p is true and q isfalse so (B) is incorrect.(C) is incorrect since p q is true only when either p and qboth are true or both are false

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