Considering truth table for p - p - q as follows- p q p - p - q- T T A- T F B- F T C- F F D- - Identify the correct statement among the following

Name: JEE- Grade 11- Mathematics- Mathematical Reasoning- Session 02- W17
Uploaded: 2022-07-04T10:36:42+05:30
Description: [ p amp;q amp;∼ q amp; p ∧∼ q amp; ∼ (p ∧∼ q) amp; p →∼ (p ∧∼ q); T amp;T ...

[ p amp;q amp;∼ q amp; p ∧∼ q amp; ∼ (p ∧∼ q) amp; p →∼ (p ∧∼ q); T amp;T ...

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Standard XII

Physics

Logic Gates

Considering t...

Question

Considering truth table for $p \to\sim (p \land \sim q)$ as follows,
$\begin{matrix} p & q & p \to\sim (p \land \sim q) T & T & A T & F & B F & T & C F & F & D \end{matrix}$
Identify the correct statement among the following

The truth value of

A

is opposite to that of

B

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The truth value of

A

is opposite to that of

C

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The truth value of

A

is opposite to that of

D

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The truth value of

C

is opposite to that of

D

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Solution

The correct option is A The truth value of $A$ is opposite to that of $B$
$\begin{matrix} p & q & \sim q & p \land \sim q & \sim (p \land \sim q) & p \to\sim (p \land \sim q) T & T & F & F & T & T T & F & T & T & F & F F & T & F & F & T & T F & F & T & F & T & T \end{matrix}$

The truth value of $A, C, D$ is true and that of $B$ is false. So clearly, the truth value of $A$ is opposite to that of $B$

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Similar questions

Q. Considering truth table for

p \to\sim (p \land \sim q)

as follows,

\begin{matrix} p & q & p \to\sim (p \land \sim q) T & T & A T & F & B F & T & C F & F & D \end{matrix}

The truth value will be false for which among the following

Q. Considering truth table for

p \to\sim (p \land \sim q)

as follows,

\begin{matrix} p & q & p \to\sim (p \land \sim q) T & T & A T & F & B F & T & C F & F & D \end{matrix}

Identify the correct statement among the following

Q. If

(p \land \sim q) \land (p \land r) \to \sim p \lor q

is false, then the truth values of

p, q

and

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are, repectively :

Q. Which among the following options correctly represnts truth table for

(\sim p) \land q

State the following statement is True or False

p, q, r

are statements with truth values T, F, T respectively, then the truth value of

(\sim p \lor q) \land \sim r \to p

, is T

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Logic Gates

Standard XII Physics

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Considering truth table for p→∼(p∧∼q) as follows, pqp→∼(p∧∼q)TTATFBFTCFFD Identify the correct statement among the following

The correct option is A The truth value of A is opposite to that of Bpq∼qp∧∼q∼(p∧∼q)p→∼(p∧∼q)TTFFTTTFTTFFFTFFTTFFTFTT The truth value of A,C,D is true and that of B is false. So clearly, the truth value of A is opposite to that of B

Considering truth table for $p \to\sim (p \land \sim q)$ as follows,
$\begin{matrix} p & q & p \to\sim (p \land \sim q) T & T & A T & F & B F & T & C F & F & D \end{matrix}$
Identify the correct statement among the following