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2021 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021 S2
If $a+b+c=1, a b+b c+c a=2$ and $a b c=3$, then the value of $a 4+b 4+c 4$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
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Q JEE MAIN 2021
An organic compound is subjected to chlorination to get compound A using 5.0 g of chlorine. When 0.5 g of compound A is reacted with...
JEE Main Chemistry Medium
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Q JEE MAIN 2021 S2
Let a curve $y=f(x)$ pass through the point $\left(2,\left(\log _e 2\right)^2\right)$ and have slope $\frac{2 y}{x \log _e x}$ for all positive real value of...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
1.46 g of a biopolymer dissolved in a 100 mL water at 300 K exerted an osmotic pressure of $2.42 \times 10^{-3}$ bar. The molar...
JEE Main Chemistry Easy
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Q JEE MAIN 2021
Inside a uniform spherical shell : (a) the gravitational field is zero (b) the gravitational potential is zero (c) the gravitational field is same everywhere...
JEE Main Physics Easy
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Q JEE MAIN_2021_
A spherical gas balloon of radius 16 meter subtends an angle $60^{\circ}$ at the eye of the observer A while the angle of elevation of...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
A solution is 0.1 M in $\mathrm{Cl}^{-}$and 0.001 M in $\mathrm{CrO}_4^{-2}$.
Solid $\mathrm{AgNO}_3$ is gradually added to it
Assuming that the addition does...
JEE Main Chemistry Easy
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Q JEE MAIN 2021 S2
If $(\vec{a}+3 \vec{b})$ is perpendicular to $(7 \vec{a}-5 \vec{b})$ and $(\vec{a}-4 \vec{b})$ is perpendicular to $(7 \vec{a}-2 \vec{b})$, then the angle between $\vec{a}$ and $\vec{b}$...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
The conductivity of a weak acid HA of concentration $0.001 \mathrm{~mol} \mathrm{~L}^{-1}$ is $2.0 \times 10^{-5} \mathrm{~S} \mathrm{~cm}^{-1}$. If $\Lambda_{\mathrm{m}}^{\circ}(\mathrm{HA})=190 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$, the ionization...
JEE Main Chemistry Medium
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Q JEE MAIN 2021
The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of $...
JEE Main Physics Easy
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