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The value of $\cos ^{-1} \left[ \cot \left\{ \sin ^{-1} \sqrt{\frac{2-\sqrt{3}}{4}} + \cos ^{-1} \frac{\sqrt{12}}{4} + \sec ^{-1} \sqrt{2} \right\} \right]$ is

The probability distribution of a random variable $X$ is given by:
$X=x$ $P(X=x)$
$0$ $0.4$
$1$ $0.3$
$2$ $0.1$
$3$ $0.1$
$4$ $0.1$

The variance of $X$ is:

Pili or fimbriae are associated with which process?

Observe the following statements :
$I$. Bleaching powder is used in the preparation of chloroform.
$II$. Bleaching powder decomposes in the presence of $CoCl_2$ to liberate $O_2$.
$III$. Aqueous $KHF_2$ is used in the preparation of fluorine.
The correct combination is :

In a mutational event,when adenine is replaced by guanine,it is the case of

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