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2024 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE-Main 2024
If n is the number of ways five different employees can sit into four indistinguishable offices where any office may have any number of persons...
JEE Main Mathematics Medium
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Q JEE MAIN
A function y=f(x) satisfies $f(x) \sin 2 x+\sin x-\left(1+\cos ^2 x\right) f^{\prime}(x)=0$ with condition $f(0)=0$. Then $f\left(\frac{\pi}{2}\right)$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2024
The value of $\lim _{n \rightarrow \infty} \sum_{k=1}^n \frac{n^3}{\left(n^2+k^2\right)\left(n^2+3 k^2\right)}$ is:
JEE Main Mathematics Medium
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Q JEE MAIN 2024
If the system of linear equations $$ \begin{aligned} & x-2 y+z=-4 \\ & 2 x+\alpha y+3 z=5 \\ & 3 x-y+\beta z=3 \end{aligned} $$ has...
JEE Main Mathematics Medium
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Q JEE MAIN
A galvanometer has a resistance of 50Ω and it allows maximum current of 5mA. It can be converted into voltmeter to measure upto 100V by...
JEE Main Physics Easy
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Q JEE MAIN 2024
Given below are two statements : Statement I : When speed of liquid is zero everywhere, pressure difference at any two points depends on equation...
JEE Main Physics Medium
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Q JEE-Main 2024
If $\tan \mathrm{A}=\frac{1}{\sqrt{x\left(x^2+x+1\right)}}, \tan B=\frac{\sqrt{x}}{\sqrt{x^2+x+1}}$ and $\tan C=\left(x^{-3}+x^{-2}+x^{-1}\right)^{\frac{1}{2}}, 0
JEE Main Mathematics Hard
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Q JEE MAIN
If $\alpha,-\frac{\pi}{2}<\alpha<\frac{\pi}{2}$ is the solution of $4 \cos \theta+5 \sin \theta=1$, then the value of tan⁡ α is
JEE Main Mathematics Easy
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Q JEE MAIN 2024
In an experiment to measure focal length (f) of convex lens, the least counts of the measuring scales for the position of object and for...
JEE Main Physics Medium
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Q JEE MAIN
For $\mathrm{x} \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$, if $y(x)=\int \frac{\operatorname{cosec} x+\sin x}{\operatorname{cosec} x \sec x+\tan x \sin ^2 x} d x$ and $\lim _{x \rightarrow\left(\frac{\pi}{2}\right)^{-}} y(x)=0$ then $y\left(\frac{\pi}{4}\right)$...
JEE Main Mathematics Medium
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