Question : The value of
$51 \div\left\{25+(25\right.$ of $12 \div 30)-\left(5^4 \div 5\right.$ of 125$\left.)\right\}$ is:
Option 1: $\frac{2}{3}$
Option 2: $\frac{3}{2}$
Option 3: $-\frac{2}{3}$
Option 4: $-\frac{3}{2}$
Correct Answer: $\frac{3}{2}$
Solution :
Given: $51\div\left\{25+(25\right.$ of $12 \div 30)-\left(5^4 \div 5\right.$ of 125$\left.)\right\}$
$= 51\div\left\{25+(300\right.$ $ \div 30)-\left(5^4 \div 5^4\right.$$\left.)\right\}$
$= 51÷[25+10-1]$
$= \frac{51}{34}$
$= \frac{3}{2}$
Hence, the correct answer is $\frac{3}{2}$.
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