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2024 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2024
Let $A$ be a $3 \times 3$ matrix of non-negative real elements such that $A\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]=3\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]$. Then the...
JEE Main Mathematics Hard
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Q JEE MAIN 2024
For the function $f(x)=(\cos x)-x+1, x \in \mathbb{R}$, between the following two statements (S1) $f(x)=0$ for only one value of $x$ is $[0, \pi]$. (S2)...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
If $S=\{a \in R:|2 a-1|=3[a]+2\{a\}\}$, where $[t]$ denotes the greatest integer less than or equal to $t$ and $\{t\}$ represents the fractional part of $t$,...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let a $$ \begin{aligned} t a=1+\frac{{ }^2 C_2}{3!}+\frac{{ }^3 C_2}{4!}+\frac{{ }^4 C_2}{5!}+\cdots, & \\ & \quad b=1+\frac{{ }^1 C_0+{ }^1 C_1}{1!}+\frac{{ }^2 C_0+{ }^2 C_1+{...
JEE Main Mathematics Hard
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Q JEE MAINS 2024
Two waves of intensity ratio $1: 9$ cross each other at a point. The resultant intensities at the point, when (a) Waves are incoherent is...
JEE Main Physics Medium
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Q JEE MAIN 2024
Let $\alpha=\sum_{\mathrm{r}=0}^{\mathrm{n}}\left(4 \mathrm{r}^2+2 \mathrm{r}+1\right)^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}$ and $\beta=\left(\sum_{r=0}^n \frac{{ }^n C_r}{r+1}\right)+\frac{1}{n+1}$. If $140<\frac{2 \alpha}{\beta}<281$, then the value of $n$ is
JEE Main Mathematics Hard
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Q JEE MAIN
Let $\overrightarrow{\mathrm{OA}}=2 \overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{OB}}=6 \overrightarrow{\mathrm{a}}+5 \overrightarrow{\mathrm{~b}}$ and $\overrightarrow{\mathrm{OC}}=3 \overrightarrow{\mathrm{~b}}$, where O is the origin. If the area of the parallelogram with adjacent sides $\overrightarrow{\mathrm{OA}}$ and...
JEE Main Mathematics Easy
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Q JEE MAINS 2024
A body starts falling freely from height H hits an inclined plane in its path at height h. As a result of this perfectly elastic...
JEE Main Physics Hard
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Q JEE MAIN 2024
If the range of $f(\theta)=\frac{\sin ^4 \theta+3 \cos ^2 \theta}{\sin ^4 \theta+\cos ^2 \theta}, \theta \in \mathbb{R}$ is $[\alpha, \beta]$, then the sum of the...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
The number of ways of getting a sum 16 on throwing a dice four times is
JEE Main Mathematics Medium
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