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Simplify the following expression: 45 ÷ [9 + 3 × {15 - 2 × (5 + 1)}]
1.5
2.5
3.0
1.2
5
Evaluate brackets systematically from the inside out (Parentheses → Braces → Brackets) to prevent order of operation errors.
Expression: 45 ÷[9+3×{15−2×(5+1)}]
E=45÷[9+3×{15−2×(5+1)}]
Evaluate brackets systematically from the inside out (Parentheses → Braces → Brackets) to prevent order of operation errors.
Performing addition before multiplication inside the brackets or incorrectly evaluating the inner operations.
Evaluate Innermost Parentheses
First, solve the expression inside the innermost parentheses: 5+1=6.
5+1=6
Multiplication inside Braces
Next, multiply within the curly braces: 2×6=12.
2×6=12
Subtraction inside Braces
Subtract the result from 15: 15−12=3.
15−12=3
Square Brackets Simplification
Multiply by 3 and add to 9 inside the square brackets: 9+3×3=9+9=18.
9+3×3=18
Final Division
Finally, divide 45 by 18: 45÷18=2.5.
45÷18=2.5
B is correct because simplifying the expression step by step using the BODMAS rule yields 2.5.
Mastering the order of operations is essential for avoiding costly calculation errors across both quantitative aptitude and technical reasoning sections.
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