If $$\frac{1}{3} + \frac{1}{2} + \frac{1}{x}{\text{ = 4,}}$$     then x = ?

A. $$\frac{5}{{16}}$$

B. $$\frac{6}{{19}}$$

C. $$\frac{{18}}{5}$$

D. $$\frac{{24}}{{11}}$$

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & \frac{1}{x} = 4 - \left( {\frac{1}{3} + \frac{1}{2}} \right) \cr & \,\,\,\,\,\, = 4 - {\frac{{2 + 3}}{6}} \cr & \,\,\,\,\,\, = 4 - \frac{5}{6} \cr & \,\,\,\,\,\, = \frac{{24 - 5}}{6} \cr & \,\,\,\,\,\, = \frac{{19}}{6} \cr & \Rightarrow x = \frac{6}{{19}} \cr} $$