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Arrange the following compounds in increasing order of their reactivity towards $HCN$:
$I$. Acetaldehyde
$II$. Acetone
$III$. Di-tert-butyl ketone
$IV$. Methyl-tert-butyl ketone

Which of the following is the correct statement for the given reaction?
$CH_3-CH=O + C_6H_5-CH=O \xrightarrow[\Delta]{OH^{\ominus}(aq)} X_{(C_4H_6O)} + Y_{(C_9H_8O)}$

The product $B$ is formed by the reaction of cyclohexanone with hydroxylamine $(NH_2OH)$ to form an oxime $(A)$,followed by a Beckmann rearrangement using polyphosphoric acid $(PPA)$. Identify the product $B$.

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Silvering of a mirror is done by using which of the following compounds?

Consider the following sequence of reactions:
$2-\text{benzylbenzoic acid}$ $\xrightarrow[2. \text{anhyd. } AlCl_3]{1. SOCl_2} A$ $\xrightarrow{Zn-Hg, \text{Conc. } HCl} B$
The end product $(B)$ is:

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