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Fallacy

If p:3 is a...

Question

If $p : 3$ is a prime number and $q :$ one plus one is three, then the compound statement "It is not that $3$ is a prime number or it is not that one plus one is three" is

\sim p \lor q

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\sim (p \lor q)

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p \land \sim q

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\sim p \lor \sim q

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p \lor \sim q

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Solution

The correct option is E $\sim p \lor \sim q$
$p : 3$ is a prime number
$q :$ one plus one is three

Compound statement: "It is not that $3$ is a prime number or it is not that one plus one is three" is
$\sim p \lor \sim q$

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Similar questions

Two statements p and q are given below.

p: 2 plus 3 is 5
q: Delhi is the capital of India

Then the statement "Delhi is the capital of India and it is not that 2 plus 3 is five" is

P : 5

Q : 7

R : L.C.M. of 5 and 7 is 35

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p

q

\sim q

\sim p

q

p

P

Q,

P \neq Q .

P^{'}

Q^{'},

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