JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Given that water freezes below zero degree Celsius. Consider the following statements :

p:

Water froze this morning,

q

: This morning temperature was below

{0^0}\mathrm{C}

Which of the following is the correct?

View answer and explanation

Correct option: A

p

and

q

are logically equivalent

Option A (

p

and

q

are logically equivalent) is correct because the statements express the same condition: water freezes if and only if the temperature is below zero.

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p:A

q:A

\sqrt{3}

p

q

p \rightarrow q

{F_1}(A,\,B,\,C) = \left( {A \wedge \sim B} \right) \vee \left[ { \sim C \wedge \left( {A \vee B} \right)} \right] \vee \sim A

{F_2}(A,\,B) = \left( {A \vee B} \right) \vee (B \to \, \sim \,A)

p

n

q:

n

p \Leftrightarrow q