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Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
Consider the data on $x$ taking the values $0,2,4,8$, $\ldots, 2^n$ with frequencies ${ }^n C_0,{ }^n C_1,{ }^n C_2, \ldots,{ }^n C_n$ respectively. If...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
The mean and the variance of five observations are 4 and 5.20, respectively. If three of the observations are 3, 4 and 4; then the...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
A data consists of $n$ observations $x_1, x_2, \ldots ., x n$. If $\sum_{i=1}^n\left(x_i+1\right)^2=9 n$ and $\sum_{i=1}^n\left(x_i-1\right)^2=5 n$, then the standard deviation of this data...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
The mean and the standard deviation (s.d.) of 10 observations are 20 and 2 respectively. Each of these 10 observations is multiplied by $p$ and...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
The outcome of each of 30 items was observed; 10 items gave an outcome $\frac{1}{2}$-d each, 10 items gave outcome $\frac{1}{2}$ each and the remaining...
JEE Main Mathematics Medium
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Q JEE-MAIN 2020
If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2 respectively, then a and b are...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
If both the mean and the standard deviation of 50 observations $x_1, x_2, \ldots x_{50}$ are equal to 16 , then the mean of $...
JEE Main Mathematics Medium
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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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