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What will come in the place of '?' in the following equation, if '×' and '÷' are interchanged and '-' and '+' are interchanged? 12×12÷12−12+15=?
69
99
9
39
9
Apply BODMAS strictly after swapping signs: multiply/divide first, then add/subtract. Specifically: replace (x) with (/), (/) with (x), (-) with (+), and (+) with (-).
Apply BODMAS strictly after swapping signs: multiply/divide first, then add/subtract. Specifically: replace (x) with (/), (/) with (x), (-) with (+), and (+) with (-).
Interchange symbols
Replace signs as instructed: × becomes ÷, ÷ becomes ×, - becomes +, and + becomes -. The equation 12 × 12 ÷ 12 - 12 + 15 changes to 12 ÷ 12 × 12 + 12 - 15.
Apply BODMAS
Perform division first: (12 / 12) = 1. Then multiplication: 1 * 12 = 12. Finally, addition and subtraction: 12 + 12 = 24; 24 - 15 = 9.
A: 69 is incorrect as it does not match the result of the calculation. B: 99 is incorrect because the order of operations results in 9. D: 39 is incorrect as it is an arbitrary value not derived from the equation.
C is correct because applying the sign interchange yields (12 ÷ 12) × 12 + 12 - 15, which simplifies to 1 × 12 + 12 - 15 = 12 + 12 - 15 = 9.
Always write down the modified equation clearly before calculating to avoid missing a sign swap, especially when operators like ÷ and × appear consecutively.
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