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Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
Let the mean and the variance of 5 observations $x_1, x_2, x_3, x_4, x_5$ be $\frac{24}{5}$ and $\frac{194}{25}$ respectively. If the mean and variance of...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The mean and standard deviation of 15 observations are found to be 8 and 3 respectively. On rechecking it was found that, in the observations,...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The mean of the numbers $a, b, 8,5,10$ is 6 and their variance is 6.8 . If $M$ is the mean deviation of the numbers...
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Q JEE MAIN 2023
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let the eccentricity of an ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is reciprocal to that of the hyperbola $2 x^2-2 y^2=1$. If the ellipse intersects the hyperbola at right...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
The mean and standard deviation of the marks of 10 students were found to be 50 and 12 respectively. Later, it was observed that two...
JEE Main Mathematics Medium
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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 2025
Let the Mean and Variance of five observations $x_1=1, x_2=3, x_3=a, x_4=7$ and $x_5=b, a>b$, be 5 and 10 respectively. Then the Variance of the...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let the mean and the standard deviation of the observation $2,3,3,4,5,7, a, b$ be 4 and $\sqrt{2}$ respectively. Then the mean deviation about the mode...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
If the mean and the variance of 6, 4, a, 8, b, 12,10,13 are 9 and 9.25 respectively, then a + b + ab is...
JEE Main Mathematics Medium
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