CAT 2023 Slot 1 Solved Paper

The given time is 8:48 AM.
Angle made by hours hand w.r.t 12 is $8*30$ ( 30 degrees in 1 hour $)+0.5*48(0.5$ degree in 1 minute $)=240+24$ $=264$ degrees.
Angle made by minutes hands w.r.t 12 is $48*6=288$ degrees.
⇒ The angle between them is $288-264=24$ degrees.
This should further increase by 12 degrees ( $50\%$ of 24 )
After $\mathit{m}$ minutes, the further increase in angle $={\left(6-0.5\right)}^{\star }\mathrm{m}=\frac{11}{2}\mathit{m}=12=>\mathrm{m}=\frac{24}{11}$