

Given reactions:
The compound (A) undergoes these reactions:
\[ \text{H}_2, \, \text{Pt} \rightarrow \text{Saturated compound} \] \[ \text{Hot alk. KMnO}_4 \rightarrow \text{Carboxylation of the methyl group} \] \[ \text{H}^+, \, \text{H}_2\text{O} \rightarrow \text{Carboxylic acid formation} \]
Let's consider the structure of compound (A). The first reaction with hydrogen (\( \text{H}_2 \)) and platinum (\( \text{Pt} \)) suggests that the compound contains a double bond or an unsaturation. Hydrogenation would reduce the unsaturation to a saturated structure. The second reaction with hot alkaline KMnO₄ is a strong oxidizing reaction that cleaves the methyl group (\( -\text{CH}_3 \)) in methylbenzene (toluene) and oxidizes it to a carboxyl group (\( -\text{COOH} \)), forming benzoic acid. The final acidic hydrolysis ensures the formation of carboxylic acid as the final product.
Conclusion: Compound (A) is likely to be toluene (methylbenzene), and after the reactions, the product will be benzoic acid.
Therefore, compound (A) corresponds to: Option 1 (Toluene), and the final product is benzoic acid.
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Consider the following two reactions A and B: 
The numerical value of [molar mass of $x$ + molar mass of $y$] is ___.
Consider the following reaction sequence: 
Given: Compound (x) has percentage composition \(76.6%\ \text{C}\), \(6.38%\ \text{H}\) and vapour density \(=47\). Compound (y) develops a characteristic colour with neutral \(\mathrm{FeCl_3}\) solution. Identify the {INCORRECT statement.}
Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.