Symbiosis National Aptitude Test SNAP 2014 Paper

The angle between hour hand and minute hand is given by $\left[30\mathit{H}-\frac{11}{2}\mathit{m}\right]$
∴ 180 = $\left[30\times 9-\frac{11}{2}\mathit{M}\right]$
180 = $270-\frac{11}{2}\mathit{M}$
180 - 270 = $\frac{-11}{2}\mathit{M}$
- 90 = $\frac{-11}{2}$ M
M = $\frac{180}{11}$ = $16\frac{4}{11}$
Hence, At9 :16 $\frac{4}{11}$ time, they both are opposite to each other.