Mathematical Reasoning

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2019

The Boolean expression ~ (p ⇒ (~ q)) is equivalent to

JEE Main Mathematics Easy

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Q JEE-MAIN 2019

The Boolean expression $((p \wedge q) \vee(p \vee \sim q)) \wedge(\sim p \wedge \sim q)$ is equivalent to

JEE Main Mathematics Easy

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Q JEE Main 2020

The contrapositive of the statement “If I reach the station in time, then I will catch the train” is:

JEE Main Mathematics Easy

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Q JEE Main 2020

Let $X=\{x \in N: 1 \leq x \leq 17\}$ and $Y\{a x+b: x \in X$ and $a, b \in R, a>0\}$. If mean and variance...

JEE Main Mathematics Medium

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Q JEE MAIN 2019

The logical statement
$[\sim(\sim p \vee q) \vee(p \wedge r)] \wedge(\sim q \wedge r)$ is equivalent to

JEE Main Mathematics Medium

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Q JEE MAIN 2020

Negation of the statement :
' $\sqrt{5}$ is an integer of 5 is irrational is

JEE Main Mathematics Easy

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Q JEE MAIN 2020

The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the absolute difference...

JEE Main Mathematics Hard

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Q JEE MAIN 2020

The negation of the Boolean expression $x \leftrightarrow \sim y$ is equivalent to:

JEE Main Mathematics Medium

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Q JEE MAIN 2020

Consider the statement: "For an integer n , if $\mathrm{n}^3-1$ is even, then n is odd." The contrapositive statement of this statement is :

JEE Main Mathematics Easy

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Q JEE MAIN 2020

Which one of the following is a tautology?

JEE Main Mathematics Medium

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