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2025 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Three distinct numbers are selected randomly from the set $\{ 1,2,3, \ldots ,40\}$. If the probability, that the selected numbers are in an increasing G.P.,...
JEE Main Mathematics Hard
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Q JEE MAIN 2025
Let [.] denote the greatest integer function. If $\int_0^{{e^3}} {\left[ {\frac{1}{{{e^{x - 1}}}}} \right]} dx = \alpha - {\log _e}2$, then ${\alpha ^3}$ is equal...
JEE Main Mathematics Hard
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Q JEE MAIN 2025
Let $f:R \to R$ be a thrice differentiable odd function satisfying ${f^\prime }(x) \ge 0,{f^{\prime \prime }}(x) = f(x),f(0) = 0,{f^\prime }(0) = 3$. Then...
JEE Main Mathematics Hard
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Q JEE MAIN 2025
The absolute difference between the squares of the radii of the two circles passing through the point (-9, 4) and touching the lines $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
If the area of the region $\left\{ {(x,y):\left| {4 - {x^2}} \right| \le y \le {x^2},y \le 4,x \ge 0} \right\}$ is $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth is $11.2 \mathrm{~km} / \mathrm{s}$,...
JEE Main Physics Medium
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Q JEE MAIN 2025
The magnetic field of an E.M. wave is given by $\overrightarrow{\mathrm{B}}=\left(\frac{\sqrt{3}}{2} \hat{i}+\frac{1}{2} \hat{j}\right) 30 \sin \left[\omega\left(\mathrm{t}-\frac{Z}{\mathrm{c}}\right)\right]$ (S.I. Units). The corresponding electric field in S.I. units...
JEE Main Physics Hard
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Q JEE MAIN 2025
Match List - I with List - II. Choose the correct answer from the options given below :
JEE Main Physics Easy
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Q JEE MAIN 2025
Let $y=y(x)$ be the solution of the differential equation $2 \cos x \frac{\mathrm{~d} y}{\mathrm{~d} x}=\sin 2 x-4 y \sin x, x \in\left(0, \frac{\pi}{2}\right)$. If $y\left(\frac{\pi}{3}\right)=0$,...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $\mathrm{H}_{1}: \frac{x^{2}}{\mathrm{a}^{2}}-\frac{y^{2}}{\mathrm{~b}^{2}}=1$ and $\mathrm{H}_{2}:-\frac{x^{2}}{\mathrm{~A}^{2}}+\frac{y^{2}}{\mathrm{~B}^{2}}=1$ be two hyperbolas having length of latus rectums $15 \sqrt{2}$ and $12 \sqrt{5}$ respectively. Let their eccentricities be $e_{1}=\sqrt{\frac{5}{2}}$ and...
JEE Main Mathematics Easy
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