MHT CET 2024 10TH MAY MORNING SHIFT
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What is the pH of $10^{-8} \mathrm{M~HCl}$ solution?
A random variable X has the following probability distribution
| $\mathrm{X}$ | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| $\mathrm{P(X=}x)$ | 0.15 | 0.23 | 0.12 | 0.10 | 0.20 | 0.08 | 0.07 | 0.05 |
For the events $\mathrm{E}=\{\mathrm{X}$ is prime number $\}$
$$\mathrm{F}=\{\mathrm{X}<4\}$$
Then $P(E \cup F)=$
What is the output Y in the following circuit, when all the three inputs A, B, C are first 'zero' and then 'one'?

Which of the following is radius of first orbit of He$^+$ ?
Words of length 10 are formed by using the letters A, B, C, D, E, F, G, H, I, J. Let $x$ be number of such words where no letter is repeated and $y$ be number of such words where exactly two letters are repeated twice and no other letter is repeated, then the value of $\frac{y}{x}$ is
If the momentum of a body of mass ' $m$ ' is increased by $20 \%$ then its kinetic energy increases by