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2023 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE-Main 2023
Let the mean and variance of 12 observations be $\frac{9}{2}$ and 4 respectively. Later on, it was observed that two observations were considered as 9...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let the image of the point $\mathrm{P}(1,2,6)$ in the plane passing through the points $\mathrm{A}(1,2,0), \mathrm{B}(1,4,1)$ and $\mathrm{C}(0,5,1)$ be $\mathrm{Q}(\alpha, \beta, \gamma)$. Then $\left(\alpha^2+\beta^2+\gamma^2\right)$ is...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $a \neq b$ be two non-zero real numbers. Then the number of elements in the set $X=\left\{z \in C: \operatorname{Re}\left(a z^2+\right.\right.$ $b z)=a$ and...
JEE Main Mathematics Hard
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Q JEE MAIN 2023
If the system of equations
$$ \begin{aligned} & 2 x+y-z=5 \\ & 2 x-5 y+\lambda z=\mu \\ & x+2 y-5 z=7 \end{aligned} $$ has infinitely...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
For, $\alpha, \beta, \gamma, \delta \in \mathrm{N}$, if $\int\left(\left(\frac{\mathrm{x}}{\mathrm{e}}\right)^{2 \mathrm{x}}+\left(\frac{\mathrm{e}}{\mathrm{x}}\right)^{2 \mathrm{x}}\right) \log _{\mathrm{e}} \mathrm{xdx}=\frac{1}{\alpha}\left(\frac{\mathrm{x}}{\mathrm{e}}\right)^{\beta \mathrm{x}}-\frac{1}{\gamma}\left(\frac{\mathrm{x}}{\mathrm{e}}\right)^{\delta \mathrm{x}}+\mathrm{C}$ Where $e=\sum_{n=0}^{\infty} \frac{1}{n!}$ and $C$ is constant of integration,...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
$\operatorname{Lim}_{n \rightarrow \infty}\left\{\left(2^{\frac{1}{2}}-2^{\frac{1}{3}}\right)\left(2^{\frac{1}{2}}-2^{\frac{1}{5}}\right) \cdots \cdots\left(2^{\frac{1}{2}}-2^{\frac{1}{2 n+1}}\right)\right\}$ is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $f$ be a continuous function satisfying $\int_0^{t^2}\left(f(x)+x^2\right) d x=\frac{4}{3} t^3, \forall t>0$. Then $f\left(\frac{\pi^2}{4}\right)$ is equal to :
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Among the statements: (S1): $2023^{2022}-1999^{2022}$ is divisible by 8 . $(\mathrm{S} 2): 13(13)^n-11 \mathrm{n}-13$ is divisible by 144 for infinitely many $\mathrm{n} \in \mathrm{N}$.
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Three dice are rolled. If the probability of getting different numbers on the three dice is , where p and q are co-prime, then q...
JEE Main Mathematics Easy
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