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
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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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