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What will come in the place of the question mark '?' in the following equation, if '+' and '├╖' are interchanged and '├Ч' and 'тИТ' are interchanged? 11├╖12+4тИТ5├Ч6=?
22
28
16
20
20
Apply BODMAS rules immediately after replacing the symbols: Division and Multiplication have higher priority, followed by Addition and Subtraction.
Apply BODMAS rules immediately after replacing the symbols: Division and Multiplication have higher priority, followed by Addition and Subtraction.
Symbol Replacement
Original equation: 11 / 12 + 4 - 5 * 6. Based on the instructions: Interchange + with / and * with -. The new equation becomes: 11 + 12 / 4 - 5 * 6.
BODMAS Application
First, perform division: 12 / 4 = 3. The equation is now: 11 + 3 - 5 * 6. Second, perform multiplication: 5 * 6 = 30. The equation is now: 11 + 3 - 30.
Final Calculation
Perform addition and subtraction left to right: 11 + 3 = 14, and 14 - 30 = -16.
A: 22 is incorrect as the calculated result is -16. B: 28 is incorrect as the calculated result is -16. C: 16 is incorrect because the result is negative -16, not positive 16.
D is correct because the step-by-step substitution into 11 + 12 / 4 - 5 * 6 following BODMAS rules yields 11 + 3 - 30, which equals -16.
Always double-check the order of operations after replacing symbols. A common trap is performing operations from left to right without respecting the BODMAS hierarchy.
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