EASY
JEE Main
IMPORTANT
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The negation of the Boolean expression ~qp~pq is logically equivalent to

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Important Questions on Mathematical Reasoning

EASY
JEE Main
IMPORTANT
Let rp,q,~p,~q be such that the logical statement r~ppqr is a tautology. Then r is equal to
HARD
JEE Main
IMPORTANT
Let Δ,, be such that pqpΔqr is a tautology. Then pqr is logically equivalent to
EASY
JEE Main
IMPORTANT

Let p,q,r be three logical statements. Consider the compound statements
S1:~pq~pr and S2:pqr
Then, which of the following is NOT true?

EASY
JEE Main
IMPORTANT
The maximum number of compound propositions, out of prs, pr~s, p~qs~p~rs, ~p~r~s, ~pq~s, qr~s, q~r~s, ~p~q~s that can be made simultaneously true by an assignment of the truth values to p,q,r and s, is equal to
MEDIUM
JEE Main
IMPORTANT
Let Δ,,, be such that pqΔpqq is a tautology. Then Δ is equal to
EASY
JEE Main
IMPORTANT
Negation of the Boolean statement pq~rp is equivalent to: