25 JEE Main 2021 Mathematical Reasoning previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2021 previous-year questions from the Mathematical Reasoning chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Mathematical Reasoning chapter hub.
The Boolean expression ( p ∧ q ) ⇒ r ∧ q ∧ p is equivalent to:
Let * , □ ∈ { ∧ , ∨ } be such that the Boolean expression ( p * ~ q ) ⇒ ( p □ q ) i…
Which of the following is the negation of the statement "for all M > 0 , there exists x ∈ S such that x Ͱ…
Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct…
Consider the following three statements: A If 3 + 3 = 7 then 4 + 3 = 8 B If 5 + 3 = 8 then earth is flat. C If both A a…
The negation of the statement ~ p ∧ p ∨ q is:
Consider the two statements : S 1   : ( p → q ) ∨ ( ~ q → p ) is a tautology. S 2   : ( p &…
The compound statement P ∨ Q ∧ ~ P ⇒ Q equivalent to:
Which of the following Boolean expressions is not a tautology?
The statement ( p ∧ ( p → q ) ∧ ( q → r ) ) → r is
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