A) \[\frac{1}{65}\]
B) \[\frac{1}{130}\]
C) \[\frac{1}{26}\]
D) \[\frac{1}{13}\]
Correct Answer: B
Solution :
| Sol. [b] |
| The expression is |
| \[\frac{0.1216\times 0.105\times 0.002}{0.625\times 0.8512\times 0.039\times 0.16}\] |
| \[=\frac{\frac{1216}{10000}\times \frac{105}{1000}\times \frac{2}{10000}}{\frac{625}{1000}\times \frac{8512}{100000}\,\times \frac{39}{1000}\times \frac{16}{100}}\] |
| \[\begin{align} & =\,\frac{1216}{10000}\,\times \frac{105}{1000}\times \frac{2}{10000}\times \frac{1000}{625} \\ & \times \frac{100000}{8512}\times \frac{1000}{39}\,\times \frac{100}{16} \\ \end{align}\] |
| \[=\,\frac{1216\times 105\times 2\times 100}{625\times 8512\times 39\times 16}\] |
| \[=\frac{4\times 1\times 1\times 105}{25\times 7\times 8\times 39}\,=\,\frac{1}{30}\] |
| Now, the required difference |
| \[=\,\frac{1}{65}\,-\frac{1}{130}\,=\frac{2-1}{130}\,=\,\frac{1}{130}\] |
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