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Joint Entrance Examination
Mathematics
Mathematical Reasoning
Question 99
Question 99 of 103
Medium
MCQ
\[(\mathrm{S} 1)~(p \Rightarrow q) \vee(p \wedge(\sim q))\] is a tautology \[(\mathrm{S} 2)~((\sim p) \Rightarrow(\sim q)) \wedge((\sim p) \vee q)\] is a contradiction. Then
A
only (S2) is correct
B
both (S1) and (S2) are correct
C
only (S1) is correct
D
both (S1) and (S2) are wrong
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Official solution
∴
S
1
\therefore \mathrm{S} 1
∴
S
1
is correct.
∴
S
2
\therefore \mathrm{S} 2
∴
S
2
is incorrect.
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