Question : Simplify:
$264 - \left[142 - \left\{75 + \left(38 - \left(\frac{5}{4} + \frac{11}{4}\right)\right)\right\}\right]$
Option 1: 231
Option 2: 230
Option 3: 232
Option 4: 234
Correct Answer: 231
Solution :
Given:
$264 - \left[142 - \left\{75 + \left(38 - \left(\frac{5}{4} + \frac{11}{4}\right)\right)\right\}\right]$
$=264 - \left[142 - \left\{75 + \left(38 - \frac{16}{4}\right)\right\}\right]$
$=264 - \left[142 - \left\{75 + \left(38 - 4\right)\right\}\right]$
$=264 – \left[142 - \left\{75 + 34\right\}\right]$
$=264 - \left[142 - 109 \right]$
$= 264 - 33$
$=231$
Hence, the correct answer is 231.
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