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What will come in the place of the question mark (?) in the following equation, if тАШ+тАЩ and тАШтИТтАЩ are interchanged and тАШ├ЧтАЩ and тАШ├╖тАЩ are interchanged? 25 тИТ 12 ├╖ 3 + 10 ├Ч 2 = ?
39
37
56
36
56
Apply BODMAS strictly after swapping signs: replace - with +, + with -, / with x, and x with /.
Apply BODMAS strictly after swapping signs: replace - with +, + with -, / with x, and x with /.
Symbol Interchange
Original equation is 25 - 12 / 3 + 10 * 2. Applying the interchanges: - becomes +, + becomes -, / becomes *, * becomes /.
Constructing New Equation
After swapping: 25 + 12 * 3 - 10 / 2.
Applying BODMAS
Division first: 10 / 2 = 5. Now equation is 25 + 12 * 3 - 5. Multiplication next: 12 * 3 = 36. Now equation is 25 + 36 - 5. Addition/Subtraction: 25 + 36 = 61, and 61 - 5 = 56.
A: Resulting from incorrect operator precedence calculation; B: Incorrect result from neglecting BODMAS rule; D: Resulting from a calculation error during the final addition or subtraction step.
C is correct because applying the BODMAS rule to the transformed expression 25 + 12 * 3 - 10 / 2 correctly yields 56.
Always write down the new equation clearly before calculating to avoid sign confusion, as most errors in these problems are purely operational.
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