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Mathematical Reasoning

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
Let $\Delta \in\{\wedge, \vee, \Rightarrow, \Leftrightarrow\}$ be such that $(p \wedge q) \Delta((p \vee q) \Rightarrow q)$ is a tautology. Then $\Delta$ is equal to...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let p, q, r be three logical statements. Consider the compound statements

Then, which of...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The Boolean expression $\left(\sim\left(p^{\wedge} q\right)\right) \vee q$ is equivalent to :
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $\Delta, \nabla \in\{\wedge, \vee\}$ be such that $p \nabla q \Rightarrow((p \nabla q) \nabla r)$ is a tautology. Then $(p \nabla q) \Delta r$...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
The number of choices of $\Delta \in\{\wedge, \vee, \Rightarrow, \Leftrightarrow\}$, such that $(p \Delta q) \Rightarrow((p \Delta \sim q) \vee((\sim p) \Delta q))$ is a...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Consider the following two propositions:

If the proposition $p \rightarrow((\sim p) \vee q)$ is evaluated...
JEE Main Mathematics Easy
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Q JEE-Main 2023
The neqation of $(p \wedge(\sim q)) \vee(\sim p)$ is equivalent to
JEE Main Mathematics Easy
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Q JEE MAIN 2023
The statement (p ∧(~ q)∨ ((~ p)∧q)∨((~ p)∧(~ q)) is equivalent to
JEE Main Mathematics Medium
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Q JEE MAIN 2023
The statement $\sim[p \vee(\sim(p \wedge q))]$ is equivalent to
JEE Main Mathematics Easy
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Q JEE-Main 2023
Statement $(P \Rightarrow Q) \wedge(R \Rightarrow Q)$ is logically equivalent to
JEE Main Mathematics Easy
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