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Which of the following is true for the statements p and q ?

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By Expert Faculty of Sri Chaitanya
a
p∧q is true when at least one of p and g 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
d
~(p∨q) is false only when both p and q are false

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detailed solution

Correct option is D

(a) We know that, p∧q is true when both p and q are true.(b) We know that, p→q is false when p is true and g is false.(c) We know that, p↔q is true when either both p and q are true or both are false.(d) If p and g both are false, then p∨q is false ⇒∼(p∨q) is true.Hence, option (d) is true.


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