Statement 1- - p - q is equivalent to p - qStatement 2- - p - q is tautology Then which of the following statements is correctA- Statement 1 is true- statement 2 is true- Statement 2 is correct explanation for statement 1 -B- Statement 1 is true- statement 2 is true- Statement 2 is not correct explanation for statement 1 -C- Statement 1 is false and statement 2 is trueD- Statement 1 is true and statement 2 is false

The correct option is D Statement 1 is true and statement 2 is false [ p amp; q amp; ∼ q amp; (p ↔∼ q) amp; ∼(p↔∼ q) amp; p↔ q; ...

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Byju's Answer

Standard XII

Chemistry

Fluorides of Xenon

Statement 1: ...

Question

Statement 1: $\sim (p \leftrightarrow\sim q)$ is equivalent to $p \leftrightarrow q$
Statement 2: $\sim (p \leftrightarrow\sim q)$ is tautology.
Then which of the following statements is correct

Statement 1 is true, statement 2 is true. Statement 2 is correct explanation for statement 1.

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Statement 1 is true, statement 2 is true. Statement 2 is not correct explanation for statement 1.

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Statement 1 is true and statement 2 is false

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Statement 1 is false and statement 2 is true

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Solution

The correct option is C Statement 1 is true and statement 2 is false
$\begin{matrix} p & q & \sim q & (p \leftrightarrow\sim q) & \sim (p \leftrightarrow\sim q) & p \leftrightarrow q T & T & F & F & T & T T & F & T & T & F & F F & T & F & T & F & F F & F & T & F & T & T \end{matrix}$
$∴$ Statement 1 true and 2 false

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Similar questions

Q. Statement - 1:

\sim (p \leftrightarrow\sim q)

is equivalent to

p \leftrightarrow q

.
Statement - 2:

\sim (p \leftrightarrow\sim q)

is a tautology.

Q. Statement - 1 : The statement

(p \lor q) \land \sim p

and

\sim p \land q

are logically equivalent.
Statement - 2 : The end columns of the truth table of both statements are identical.

Let p be the statement “x is an irrational number”, q be the statement “y is a transcendental number”, and r be the statement “x is a rational number if and only if y is a transcendental number”.
Statement-1 : $r i s e q u i v a l e n t t o e i t h e r q o r p$
Statememt-2 : $r i s e q u i v a l e n t t o (p \leftrightarrow\sim q)$

Q. Statement - 1 : The statement

(p \lor q) \land \sim p

and

\sim p \land q

are logically equivalent.
Statement - 2 : The end columns of the truth table of both statements are identical.

Choose the correct option.

Statement $1 : (p \land \sim q) \land (\sim p \land q)$ is a fallacy.

Statement $2 : (p \Rightarrow q) \Leftrightarrow (\sim q \Rightarrow\sim p)$ is a tautology.

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Statement 1: ∼(p↔∼q) is equivalent to p↔q Statement 2: ∼(p↔∼q) is tautology. Then which of the following statements is correct

The correct option is C Statement 1 is true and statement 2 is false pq∼q(p↔∼q)∼(p↔∼q)p↔qTTFFTTTFTTFFFTFTFFFFTFTT ∴ Statement 1 true and 2 false

Statement 1: $\sim (p \leftrightarrow\sim q)$ is equivalent to $p \leftrightarrow q$
Statement 2: $\sim (p \leftrightarrow\sim q)$ is tautology.
Then which of the following statements is correct