Question : Simplify:
$\left[\frac{1}{5} \text { of }(35-5)+4\right]^2-[9-\{7+(2-3)\}+5]^2$
Option 1: 100
Option 2: 36
Option 3: 25
Option 4: 64
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Correct Answer: 36
Solution :
Given: $[\frac{1}{5} \text { of }(35-5)+4]^2-[9-\{7+(2-3)\}+5]^2$
Applying BODMAS,
= $[\frac{1}{5} \text { of }(35-5)+4]^2-[9-{6}+5]^2$
= $[\frac{1}{5} \text { of }(30)+4]^2-64$
= $[6+4]^2-64$
= $100-64$ = $36$
Hence, the correct answer is 36.
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