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Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE Main 2019
The mean of five observations is 5 and their variance is 9.20. If three of the given five observations are 1, 3 and 8, then...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations are 5, 7, 10, 12, 14, 15, then...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
A bag contains 30 white ball and 10 red balls. 16 balls are drawn one by one randomly from the bag with replacement. If $X$...
JEE Main Mathematics Easy
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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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