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What will come in the place of '?' in the following equation, if '+' and '-' are interchanged and '├Ч' and '├╖' are interchanged? 76├╖4+108├Ч3тИТ5=?
273
265
275
271
273
Write down the given equation with the operators swapped immediately before performing any calculations, and follow the standard BODMAS rule strictly.
Write down the given equation with the operators swapped immediately before performing any calculations, and follow the standard BODMAS rule strictly.
Step 1: Note the given interchanging rules
The given rules are: '+' and '-' are interchanged, and '*' and '/' are interchanged.
Step 2: Rewrite the equation with new operators
The original equation is 76 / 4 + 108 * 3 - 5. Substituting the operators: '/' becomes '', '+' becomes '-', '' becomes '/', and '-' becomes '+'. The new equation is: 76 * 4 - 108 / 3 + 5.
Step 3: Apply BODMAS rule
First, perform division and multiplication: 76 * 4 = 304, and 108 / 3 = 36. The equation becomes: 304 - 36 + 5.
Step 4: Perform addition and subtraction from left to right
304 - 36 = 268. Then, 268 + 5 = 273.
B: 265 is incorrect because of arithmetic calculation errors. C: 275 is incorrect due to wrong order of operations or incorrect substitution. D: 271 is incorrect as it results from subtracting instead of adding at the final step.
A is correct because substituting the symbols according to the rule yields 76 * 4 - 108 / 3 + 5, which simplifies via BODMAS to 304 - 36 + 5 = 273.
Always write down the replaced equation clearly before applying BODMAS to avoid sign-confusion errors in exam conditions.
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