The desired product $X$ $(\text{Ph-C(Me)(Ph)-COOH})$ can be prepared by reacting the major product of the reactions in List-$I$ with one or more appropriate reagents in List-$II$. (Given,order of migratory aptitude: $\text{aryl} > \text{alkyl} > \text{hydrogen}$)
| List-$I$ | List-$II$ |
| :--- | :--- |
| $P$. $\text{Ph}_2\text{C(OH)-C(OH)Me}_2 + \text{H}_2\text{SO}_4$ | $1$. $\text{I}_2, \text{NaOH}$ |
| $Q$. $\text{Ph}_2\text{C(NH}_2\text{)-CH(OH)Me} + \text{HNO}_2$ | $2$. $[\text{Ag(NH}_3)_2]\text{OH}$ |
| $R$. $\text{PhC(OH)(Me)-C(OH)(Ph)Me} + \text{H}_2\text{SO}_4$ | $3$. $\text{Fehling solution}$ |
| $S$. $\text{Ph}_2\text{C(Br)-CH(OH)Me} + \text{AgNO}_3$ | $4$. $\text{HCHO, NaOH}$ |
| | $5$. $\text{NaOBr}$ |

• A
  $P$ $\rightarrow 1,5; \quad Q$ $\rightarrow 2,3; \quad R$ $\rightarrow 1,5; \quad S$ $\rightarrow 2,3$
• B
  $P$ $\rightarrow 1; \quad Q$ $\rightarrow 2,3; \quad R$ $\rightarrow 1,4; \quad S$ $\rightarrow 2,4$
• C
  $P$ $\rightarrow 1,5; \quad Q$ $\rightarrow 3,4; \quad R$ $\rightarrow 5; \quad S$ $\rightarrow 2,4$
• D
  $P$ $\rightarrow 1,5; \quad Q$ $\rightarrow 2,3; \quad R$ $\rightarrow 1,5; \quad S$ $\rightarrow 2,3$