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Simplify: 250 ├╖ [5 ├Ч {12 + 8 - (4 + 6)}]
5
10
2.5
25
5
Evaluate innermost brackets first and work outwards systematically to prevent sign errors.
Expression to simplify = 250 / [5 * {12 + 8 - (4 + 6)}]
Order┬аof┬аOperations┬а(BODMAS)
Evaluate innermost brackets first and work outwards systematically to prevent sign errors.
Performing multiplication or division before fully simplifying all bracketed terms.
Evaluate Innermost Parentheses
Start by solving the innermost parentheses terms according to the BODMAS rule.
4+6=10
Simplify Braces
Substitute the inner result into the braces and perform addition and subtraction from left to right: {12 + 8 - 10}.
12+8тИТ10=10
Evaluate Square Brackets
Multiply the result by 5 inside the square brackets: [5 ├Ч10].
5├Ч10=50
Final Division
Divide 250 by the evaluated bracket result to get the final answer.
250├╖50=5
A is correct because simplifying the expression step-by-step using the BODMAS rule results in 5.
A firm grasp of BODMAS is fundamental for avoiding calculation errors in quantitative aptitude and simplification problems across all competitive exams.
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