Consider the following three statements:

Question:

Consider the following three statements:

$P: 5$ is a prime number.

Q : 7 is a factor of 192 .

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

Then the truth value of which one of the following statements is true?

  1. $(P \wedge Q) \vee(\sim R)$

  2. $(\sim \mathrm{P}) \wedge(\sim \mathrm{Q} \wedge \mathrm{R})$

  3. $(\sim P) \vee\left(Q^{\wedge} R\right)$

  4. $\mathrm{P} \vee\left(\sim \mathrm{Q}^{\wedge} \mathrm{R}\right)$

Correct Option: , 4

Solution:

It is obvious

$\therefore$ Option (4)

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