JEE Main 2020 (Online) 8th January Evening Slot | Mathematical Reasoning Question 72 | Mathematics

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JEE Main 2020 (Online) 8th January Evening Slot

MCQ (Single Correct Answer)

-1

Which of the following statements is a tautology?

~(p $$ \wedge $$ ~q) $$ \to $$ p $$ \vee $$ q

~(p $$ \vee $$ ~q) $$ \to $$ p $$ \vee $$ q

~(p $$ \vee $$ ~q) $$ \to $$ p $$ \wedge $$ q

p $$ \vee $$ (~q) $$ \to $$ p $$ \wedge $$ q

JEE Main 2020 (Online) 8th January Morning Slot

MCQ (Single Correct Answer)

-1

Which one of the following is a tautology?

P $$ \wedge $$ (P $$ \vee $$ Q)

P $$ \vee $$ (P $$ \wedge $$ Q)

Q $$ \to $$ (P $$ \wedge $$ (P $$ \to $$ Q))

(P $$ \wedge $$ (P $$ \to $$ Q)) $$ \to $$ Q

JEE Main 2020 (Online) 7th January Evening Slot

MCQ (Single Correct Answer)

-1

Let A, B, C and D be four non-empty sets. The contrapositive statement of "If A $$ \subseteq $$ B and B $$ \subseteq $$ D, then A $$ \subseteq $$ C" is:

If A ⊈ C, then A ⊈ B or B ⊈ D

If A ⊈ C, then A ⊈ B and B $$ \subseteq $$ D

If A $$ \subseteq $$ C, then B $$ \subset $$ A or D $$ \subset $$ B

If A ⊈ C, then A $$ \subseteq $$ B and B $$ \subseteq $$ D

JEE Main 2020 (Online) 7th January Morning Slot

MCQ (Single Correct Answer)

-1

The logical statement (p $$ \Rightarrow $$ q) $$\Lambda $$ ( q $$ \Rightarrow $$ ~p) is equivalent to:

$$ \sim $$p

$$ \sim $$q

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