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Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE-MAIN 2020
Let $x i(1 \leq i \leq 10)$ be ten observations of a random variable $X$. If $\sum_{i=1}^{10}\left(x_i-p\right)=3$ and $\sum_{i=1}^{10}\left(x_i-p\right)^2=9$ where $...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The mean and variance of 20 observations are found to be 10 and 4, respectively. On rechecking, it was found that an observation 9 was...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16, then m...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
The mean and the median of the following ten numbers in increasing order $10,22,26,29,34, x, 42,67,70, y$ are 42 and 35 respectively, then $\frac{y}{x}$ is...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
The mean of 10 numbers $$ 7 \times 8,10 \times 10,13 \times 12,16 \times 14, \ldots . \text { is } $$
JEE Main Mathematics Easy
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Q JEE Main 2021
The mean and variance of 7 observations are 8 and 16 respectively. If two observations are 6 and 8, then the variance of the remaining...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
If mean and standard deviation of 5 observations $x_1, x_2, x_3, x_4, x_5$ are 10 and 3 , respectively, then the variance of 6 observations...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let the mean and variance of four numbers $3,7, x$ and $y(x>y)$ be 5 and 10 respectively. Then the mean of four numbers $...
JEE Main Mathematics Easy
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Q JEE MAIN_2021_
An online exam is attempted by 50 candidates out of which 20 are boys. The average marks obtained by boys is 12 with a variance...
JEE Main Mathematics Medium
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Q JEE Main 2021
The mean and standard deviation of 20 observations were calculated as 10 and 2.5 respectively. It was found that by mistake one data value was...
JEE Main Mathematics Medium
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