| The value of \[3\div \left[ \left\{ (8-5)\div (4-2)+\left( 2+\frac{8}{13} \right) \right\} \right]\]is [SSC (CPO) 2014] |
A) \[\frac{15}{17}\]
B) \[\frac{13}{17}\]
C) \[\frac{15}{19}\]
D) \[\frac{60}{13}\]
Correct Answer: D
Solution :
| \[3\div \left[ (8-5)\div \left\{ (4-2)+\left( 2+\frac{8}{13} \right) \right\} \right]\] |
| \[=3\div \left[ 3\div \left\{ 2+\frac{34}{13} \right\} \right]=3\div \left[ 3\div \frac{60}{13} \right]=3\div \left[ 3\times \frac{13}{60} \right]\]\[=3\div \frac{39}{60}=3\times \frac{60}{39}=\frac{60}{13}\] |
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