A) \[A-(iv);\,B-(iii);\,C-(ii);\,D-(i)\]
B) \[A-\,(iii);\,B-(iv);\,C-(ii);\,D-(i)\]
C) \[A-\,(iv);\,B-(iii);\,C-(i);\,D-(ii)\]
D) \[A-\,(iii);\,B-(iv);\,C-(i);\,D-(ii)\]
Correct Answer: D
Solution :
\[x=870\times \frac{17}{3}\,+\frac{24}{5}\times \frac{5}{8}\] \[=290\times 17+3\] \[=4930+3=4933\] Given, \[\frac{31}{6}-\left[ \frac{6}{5}+\left\{ \frac{11}{4}\times \frac{2}{11}\times \frac{1}{x}-\left( \frac{5}{6}-\frac{2}{3} \right) \right\} \right]=\frac{301}{120}\] \[\Rightarrow \,\frac{31}{6}\,-\frac{6}{5}\,-\frac{1}{2x}+\frac{1}{6}=\frac{301}{120}\] \[\Rightarrow \,\frac{1}{2x}\,=\frac{195}{120}\Rightarrow x=\frac{4}{13}\] \[\frac{2}{3}\times \,\frac{3}{\frac{5}{6}\div \frac{2}{3}\,\text{of}\,1\frac{1}{4}}\,=\frac{2}{3}\,\times \frac{3}{\frac{5}{6}\div \,\left[ \frac{5}{4}\times \frac{2}{3} \right]}\,=\frac{2\times 3}{3\times 1}=2\] \[\frac{3/2}{1/2}\div \frac{4}{7}\left[ \frac{4}{10}+\frac{3}{10} \right]\,\,\text{or}\,\,\frac{\frac{3+2}{6}}{\frac{3-2}{6}}\] \[=\left( \frac{3}{2}\times \frac{2}{1} \right)\,\div \,\frac{4}{7}\left[ \frac{7}{10} \right]\,\] of \[\frac{5}{6}\times \frac{6}{1}\] \[=3\div \frac{4}{10}\,\] of \[5=3\div \frac{20}{10}\,=3\div 2=\frac{3}{2}\]
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