Considering truth table for p - p - q as follows- -beginarray - WlinehlineT -T -AIlWlineT-F-B WlineF-T-CIIWlineF- F-D-hlinelend array - The truth value will be false for which among the followingA- AB- B

Name: JEE- Grade 11- Mathematics- Mathematical Reasoning- Session 02- D07
Uploaded: 2022-07-04T10:36:42+05:30
Description: The correct option is B B[ p amp;q amp;∼ q amp; p ∧∼ q amp; ∼ (p ∧∼ q) amp; p →∼ (p ∧∼ q); ...

The correct option is B B[ p amp;q amp;∼ q amp; p ∧∼ q amp; ∼ (p ∧∼ q) amp; p →∼ (p ∧∼ q); ...

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Standard XII

Mathematics

Implication

Considering t...

Question

Considering truth table for $p \to\sim (p \land \sim q)$ as follows,
$\begin{matrix} p & q & p \to\sim (p \land \sim q) T & T & A T & F & B F & T & C F & F & D \end{matrix}$
The truth value will be false for which among the following

A

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B

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C

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D

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Solution

The correct option is B $B$
$\begin{matrix} p & q & \sim q & p \land \sim q & \sim (p \land \sim q) & p \to\sim (p \land \sim q) T & T & F & F & T & T T & F & T & T & F & F F & T & F & F & T & T F & F & T & F & T & T \end{matrix}$

Clearly the values of $A, B, C, D$ are $T, F, T, T$ respectively

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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}

Identify the correct statement 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 truth value for

p \to (q \lor r)

is false, then the truth values of

p, q, r

are respectively :

Q. If

p, q, r

have truth values

T, F, T

respectively, then which among the following will have truth value as TRUE.

Q. If the truth value of the statement

p \to (\sim q \lor r)

is false

(F),

then the truth values of the statements

p, q, r

are respectively :

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Implication

Standard XII Mathematics

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Considering truth table for p→∼(p∧∼q) as follows, pqp→∼(p∧∼q)TTATFBFTCFFD The truth value will be false for which among the following

The correct option is B Bpq∼qp∧∼q∼(p∧∼q)p→∼(p∧∼q)TTFFTTTFTTFFFTFFTTFFTFTT Clearly the values of A,B,C,D are T,F,T,T respectively

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

The correct option is B $B$
$\begin{matrix} p & q & \sim q & p \land \sim q & \sim (p \land \sim q) & p \to\sim (p \land \sim q) T & T & F & F & T & T T & F & T & T & F & F F & T & F & F & T & T F & F & T & F & T & T \end{matrix}$

Clearly the values of $A, B, C, D$ are $T, F, T, T$ respectively