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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? 4 − 8 ÷ 12 + 16 × 2 = ?
86
92
94
90
92
Apply BODMAS strictly after swapping signs: replace + with -, - with +, x with /, and / with x, then follow Bracket-Of-Division-Multiplication-Addition-Subtraction sequence.
Apply BODMAS strictly after swapping signs: replace + with -, - with +, x with /, and / with x, then follow Bracket-Of-Division-Multiplication-Addition-Subtraction sequence.
Interchange signs
Original equation: 4 - 8 / 12 + 16 * 2. Replacing signs (+ with -, - with +, / with *, * with /) gives: 4 + 8 * 12 - 16 / 2.
Apply BODMAS
First, perform division: 16 / 2 = 8. Now the equation is 4 + 8 * 12 - 8.
Solve multiplication and remaining
Perform multiplication: 8 * 12 = 96. Now the equation is 4 + 96 - 8. Adding and subtracting: 100 - 8 = 92.
A: 86 is wrong because it results from incorrect order of operations; C: 94 is wrong due to arithmetic error during addition; D: 90 is wrong as it deviates from the BODMAS sequence calculation.
B is correct because replacing the signs as instructed and solving via BODMAS yields 4 + 96 - 8 = 92.
Always write down the modified equation clearly before calculating to avoid sign confusion, as most errors in this topic occur at the substitution stage.
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