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What will come in the place of the question mark (?) in the following equation, if тАШ+тАЩ and тАШтАУтАЩ are interchanged and тАШ├ЧтАЩ and тАШ├╖тАЩ are interchanged? 48 тАУ 96 ├Ч 12 ├╖ 4 + 32 = ?
43
42
46
48
48
Apply BODMAS strictly after swapping signs: replace - with +, + with -, * with /, and / with *. Calculate from left to right following priority order.
Apply BODMAS strictly after swapping signs: replace - with +, + with -, * with /, and / with *. Calculate from left to right following priority order.
Symbol Substitution
Given the equation 48 - 96 * 12 / 4 + 32. Swap the symbols as instructed: '-' becomes '+', '+' becomes '-', '' becomes '/', and '/' becomes ''. The transformed equation is: 48 + 96 / 12 * 4 - 32.
Applying BODMAS
Following the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction): First perform division: 96 / 12 = 8. Now the equation is 48 + 8 * 4 - 32.
Final Calculation
Perform multiplication: 8 * 4 = 32. The equation becomes 48 + 32 - 32. Finally, perform addition and subtraction: 48 + 32 = 80, and 80 - 32 = 48.
A: Calculation error yields 43, which is incorrect. B: Calculation error yields 42, which is incorrect. C: Calculation error yields 46, which is incorrect.
D is correct because performing the sign substitution (48 + 96 / 12 * 4 - 32) and solving via BODMAS results in 48.
Always write down the modified equation clearly before calculating to avoid sign confusion, and remember that Division and Multiplication have the same priority level, so solve them left-to-right.
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