Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

Among the statements :

$\mathrm{(S1): (p \Rightarrow q) \vee ((\sim p) \wedge q)}$ is a tautology

$\mathrm{(S2): (q\Rightarrow p) \Rightarrow ((\sim p) \wedge q)}$ is a contradiction
Option: 1
only (S2) is True

Option: 2
only (S1) is True

Option: 3
neigher (S1) and (S2) is True

Option: 4
both (S1) and (S2) are True

Answers (1)

P	Q	$\mathrm{\sim p}$	$\mathrm{\sim p\wedge q}$	$\mathrm{\sim p\Rightarrow q}$	$\mathrm{(\sim p\Rightarrow q)v(\sim p\wedge q)}$
T	T	F	F	T	T
T	F	F	F	F	F
F	T	T	T	T	T
F	F	T	F	T	T

S2

P	Q	$q\Rightarrow p$	$\sim p$	$(\sim p)\wedge q$	$\mathrm{(q\Rightarrow p)\Rightarrow (\sim p\wedge q)}$
T	T	T	F	F	F
T	F	T	F	F	F
F	T	F	T	T	T
F	F	T	T	F	F

Correct Answer is option 3

Posted by

Kshitij

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

50 mL of 0.2 M ammonia solution is treated with 25 mL of 0.2 M HCl. If pK_b of ammonia solution is 4.75, the pH of the mixture will be :
Option: 1 3.75
Option: 2 4.75

Latest Question