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Mathematical Reasoning

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE Main 2021
If the truth value of the Boolean expression $((p \vee q) \wedge(q \rightarrow r) \wedge(\sim r)) \rightarrow(p \wedge q)$ is false, then the truth values...
JEE Main Mathematics Easy
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Q JEE Main 2019
If the Boolean expression $(p \oplus q) \wedge(\sim p \odot q)$ is equivalent to $\mathbf{p} \wedge \mathbf{q}$, where $\oplus, \odot \in\{\wedge, \mathrm{v}\}$, then the ordered...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
The contrapositive of the statement “If you are born in India, then you are a citizen of India”, is:
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Consider the two statements : $(\mathrm{S} 1):(\mathrm{p} \rightarrow \mathrm{q}) \vee(\sim \mathrm{q} \rightarrow \mathrm{p})$ is a tautology. $(S 2):(p \wedge \sim q) \wedge(\sim p \cup \dot{q})$...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Which of the following is equivalent to the Boolean expression $\mathrm{p} \wedge \sim \mathrm{q}$ ?
JEE Main Mathematics Easy
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Q JEE MAIN_2021_
The Boolean expression $(P \Rightarrow q) \wedge(q \Rightarrow \sim p)$ is equivalent to:
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Which one of the following statements is not a tautology?
JEE Main Mathematics Medium
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Q JEE MAIN 2021
The compound statement $(P \vee Q) \wedge(\sim P) \Rightarrow Q$ is equivalent of:
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let $F_1(A, B, C)=(A \wedge \sim B) \vee[\sim C \wedge(A \vee B)] \vee \sim A$ and $F_2(A, B)=(A \vee B) \vee(B \rightarrow \sim A)$ be...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct negation from the...
JEE Main Mathematics Easy
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