$(550\%$ of $250) \div 275 = $x$

### Concept & Formula According to the order of operations (BODMAS/PEMDAS), operations enclosed in brackets must be solved first. The term "of" indicates multiplication. $$ \text{Result} = \left( \frac{P}{100} \times N \right) \div D $$ ### Step-by-Step Solution * **Given:** The expression is $(550\% \text{ of } 250) \div 275$. * **Calculation:** First, solve the bracket portion. $$ 550\% \text{ of } 250 = \frac{550}{100} \times 250 $$ $$ = 5.5 \times 250 $$ $$ = 1375 $$ * Next, divide this result by the remaining divisor. $$ 1375 \div 275 $$ $$ = 5 $$ * Checking the options, the value $5$ is not listed among (a), (b), (c), or (d). ### Exam Strategy & Shortcut Instead of doing massive multiplication, simplify the fractions first. Rearrange the terms: $$ \left(5.5 \times 250\right) \div 275 $$ $$ = 5.5 \times \left( \frac{250}{275} \right) $$ Divide the fraction by $25$ to get $\frac{10}{11}$. $$ = 5.5 \times \frac{10}{11} $$ $$ = \frac{55}{10} \times \frac{10}{11} = \frac{55}{11} = 5 $$ This entirely bypasses the large multiplication step of finding $1375$. ### Common Pitfall Misplacing the decimal point during the $550\%$ multiplication step, leading to an incorrect bracket result, or forcing an incorrect choice instead of confidently selecting "None of these". ### Final Answer **Therefore, the correct answer is None of these.**