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2021 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021
The incorrect expression among the following is:
JEE Main Chemistry Easy
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Q JEE MAIN 2021
Let $\vec{a}=\hat{i}+5 \hat{j}+\alpha \hat{k}, \vec{b}=\hat{i}+3 \hat{j}+\beta \hat{k}$ and $\vec{c}=-\hat{i}+2 \hat{j}+3 \hat{k}$ be three vectors such that, $|\vec{b} \times \vec{c}|=5 \sqrt{3}$ and $\vec{a}$ is perpendicular to...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Given below are two statements.
Statement I: According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease...
JEE Main Chemistry Medium
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Q JEE Main 2021
If ${ }^{20} \mathrm{C}_{\mathrm{r}}$ is the co-efficient of $\mathrm{x}^{\mathrm{r}}$ in the expansion of $(1+\mathrm{x})^{20}$, then the value of $\sum_{\mathrm{r}=0}^{20} \mathrm{r}^2{ }^{20} \mathrm{C}_{\mathrm{r}}$ is equal to...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Which one of the following reactions will not yield propionic acid?
JEE Main Chemistry Easy
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Q JEE MAIN_2021_
The probability distribution of random variable X is given by: Let $p=P(1
JEE Main Mathematics Easy
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Q JEE Main 2021
The sum of the series $\frac{1}{x+1}+\frac{2}{x^2+1}+\frac{2^2}{x^4+1}+\ldots .+\frac{2^{100}}{x^{2^{100}}+1}$ when $x=2$ is
JEE Main Mathematics Hard
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Q JEE MAIN 2021
The least positive integer n such that $\frac{(2 \mathrm{i})^{\mathrm{n}}}{(1-\mathrm{i})^{\mathrm{n}-2}}, \mathrm{i}=\sqrt{-1}$ is a positive integer, is
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let A be a $3 \times 3$ real matrix. If $\operatorname{det}(2 \operatorname{Adj}(2 \operatorname{Adj}(\operatorname{Adj}(2 A))))=2^{41}$, then the value of $\operatorname{det}\left(A^2\right)$ equal $\_\_\_\_$ .
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Given below are two statements : one is labelled as
Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Lithium salts...
JEE Main Chemistry Easy
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