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Simplify: 250 ÷ [25 ÷ 5 × {15 + 10 - (2 + 3)}]
5
10
2.5
20
5
Carefully follow the order of operations from innermost brackets to outermost, and resolve division and multiplication strictly from left to right.
Expression: 250 ÷[25÷5×{15+10−(2+3)}]
BODMAS: Brackets →Of →Division →Multiplication →Addition →Subtraction
Carefully follow the order of operations from innermost brackets to outermost, and resolve division and multiplication strictly from left to right.
Performing multiplication before division or incorrectly evaluating operations inside the curly brackets before the innermost parentheses.
Step 1: Solve innermost parenthesis
Evaluate the innermost bracket (2+3).
2+3=5
Step 2: Solve the expression inside the curly brackets
Substitute the result back into the curly bracket: {15+10−5}. Perform addition and subtraction from left to right.
15+10−5=20
Step 3: Evaluate the square bracket terms
The expression inside the square bracket is now [25÷5×20]. Perform division and multiplication strictly from left to right.
25÷5=5,5×20=100
Step 4: Perform the final division
Substitute the square bracket result back into the main expression: 250÷100.
100250=2.5
C is correct because simplifying the expression using the BODMAS rule yields 2.5.
Mastering the BODMAS rule is essential for simplifying complex algebraic equations and numerical approximations in all engineering aptitude tests.
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