$ \text { Given three indentical bags each containing } 10 \text { balls, whose colours are as follows : } $
$ \begin{array}{lccc} & \text { Red } & \text { Blue } & \text { Green } \\ \text { Bag I } & 3 & 2 & 5 \\ \text { Bag II } & 4 & 3 & 3 \\ \text { Bag III } & 5 & 1 & 4 \end{array} $
A person chooses a bag at random and takes out a ball. If the ball is Red, the probability that it is from bag I is p and if the ball is Green, the probability that it is from bag III is $q$, then the value of $\left(\frac{1}{p}+\frac{1}{q}\right)$ is:Previous 10 Questions — JEE Main 2025 (2 April Evening Shift)
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Let $\vec{a} = 2\hat{i} - 3\hat{j} + \hat{k}$, $\vec{b} = 3\hat{i} + 2\hat{j} + 5\hat{k}$, and a vector $\vec{c}$ be su…
Topic: JEE Main 2025 (2 April Evening Shift)
$\displaystyle 4 \int_0^1 \left(\dfrac{1}{\sqrt{3 + x^2} + \sqrt{1 + x^2}}\right) dx - 3 \log_e(\sqrt{3})$ is equal to:
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Topic: JEE Main 2025 (2 April Evening Shift)
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Topic: JEE Main 2025 (2 April Evening Shift)
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Topic: JEE Main 2025 (2 April Evening Shift)
If the domain of the function $f(x) = \dfrac{1}{\sqrt{10 + 3x - x^2}} + \dfrac{1}{\sqrt{x + |x|}}$ is $(a, b)$, then $(…
Topic: JEE Main 2025 (2 April Evening Shift)
Let $A = {1, 2, 3, \ldots, 100}$ and $R$ be a relation on $A$ such that
$R = {(a, b) : a = 2b + 1}$.
Let $(a_1, a_2), (…
Topic: JEE Main 2025 (2 April Evening Shift)
