A bag contains 6 white and 4 black balls. A die is rolled once and the number of balls equal to the number obtained on the die are drawn from the bag at random. The probability that all the balls drawn are white is:
Previous 10 Questions — JEE Main 2023 (15 April Morning Shift)
Nearest first
1
2
3
4
5
6
7
8
Let $\left(a+bx+cx^2\right)^{10}=\displaystyle\sum_{i=0}^{20} p_i x^i,\ a,b,c\in\mathbb{N}.$
If $p_1=20$ and $p_2=210$…
Topic: JEE Main 2023 (15 April Morning Shift)
Let $[x]$ denote the greatest integer function and
$f(x)=\max\{\,1+x+[x],\ 2+x,\ x+2[x]\,\},\ 0\le x\le 2.$
Let $m$ b…
Topic: JEE Main 2023 (15 April Morning Shift)
The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on, it was observed that one observ…
Topic: JEE Main 2023 (15 April Morning Shift)
If the domain of the function $f(x)=\log_e(4x^2+11x+6)+\sin^{-1}(4x+3)+\cos^{-1}\!\left(\dfrac{10x+6}{3}\right)$ is $(\…
Topic: JEE Main 2023 (15 April Morning Shift)
Let ABCD be a quadrilateral. If E and F are the mid points of the diagonals AC and BD respectively and
$\overrightarrow…
Topic: JEE Main 2023 (15 April Morning Shift)
The total number of three-digit numbers, divisible by 3, which can be formed using the digits , if repetition of d…
Topic: JEE Main 2023 (15 April Morning Shift)
If $\displaystyle \int_{0}^{1} \frac{1}{(5+2x-2x^2)\,(1+e^{\,2-4x})}\,dx=\frac{1}{\alpha}\log_e\!\left(\frac{\alpha+1}{…
Topic: JEE Main 2023 (15 April Morning Shift)
Let $x=x(y)$ be the solution of the differential equation
$2(y+2)\log_e(y+2)\,dx+\big(x+4-2\log_e(y+2)\big)\,dy=0,\quad…
Topic: JEE Main 2023 (15 April Morning Shift)
Next 10 Questions — JEE Main 2023 (15 April Morning Shift)
Ascending by ID
1
2
3
4
5
The number of real roots of the equation $x|x|-5|x+2|+6=0$ is:
Topic: JEE Main 2023 (15 April Morning Shift)
If $(\alpha,\beta)$ is the orthocenter of the triangle $ABC$ with vertices $A(3,-7)$, $B(-1,2)$ and $C(4,5)$, then $9\a…
Topic: JEE Main 2023 (15 April Morning Shift)
Let $A_1$ and $A_2$ be two arithmetic means and $G_1, G_2, G_3$ be three geometric means of two distinct positive numbe…
Topic: JEE Main 2023 (15 April Morning Shift)
Let $S$ be the set of all values of $\lambda$ for which the shortest distance between the lines
$\dfrac{x-\lambda}{0}=…
Topic: JEE Main 2023 (15 April Morning Shift)
If the set $\left\{\operatorname{Re}\!\left(\dfrac{z-\overline{z}+z\overline{z}}{\,2-3z+5\overline{z}\,}\right): z\in\m…
Topic: JEE Main 2023 (15 April Morning Shift)
