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What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 11 + 37 − 5 × 40 ÷ 24 = ?
−22
−25
−21
−23
−23
Apply BODMAS strictly after swapping operators. Interchange signs first: + with -, and × with ÷. Then calculate step-by-step: Division -> Multiplication -> Addition/Subtraction.
Apply BODMAS strictly after swapping operators. Interchange signs first: + with -, and × with ÷. Then calculate step-by-step: Division -> Multiplication -> Addition/Subtraction.
Interchange Operators
Replace '+' with '-', '-' with '+', '×' with '÷', and '÷' with '×'. The equation 11 + 37 - 5 × 40 ÷ 24 becomes 11 - 37 + 5 ÷ 40 × 24.
BODMAS Simplification
First, perform Division: 5 ÷ 40 = 0.125. The expression is now 11 - 37 + 0.125 × 24.
Final Calculation
Next, perform Multiplication: 0.125 × 24 = 3. Finally, solve addition and subtraction: 11 - 37 + 3 = -26 + 3 = -23.
A: -22 is incorrect as the calculated result is exactly -23. B: -25 is incorrect because 11-37 is -26 and adding 3 yields -23. C: -21 is incorrect as it results from miscalculating the final addition/subtraction step.
D is correct because following the BODMAS rule after operator substitution (11 - 37 + (5/40 * 24)) yields exactly -23.
In mixed operator questions, always write the new equation clearly before calculating to avoid sign confusion, especially with the Division/Multiplication order.
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