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If + means −, − means ×, × means ÷, and ÷ means +, then what will come in place of the question mark (?) in the following equation? 27÷66×11−7+10=?
59
60
58
56
59
Apply BODMAS rule strictly after replacing the signs as per the given definitions: + to -, - to *, * to /, and / to +.
Apply BODMAS rule strictly after replacing the signs as per the given definitions: + to -, - to *, * to /, and / to +.
Mapping the operators
Replace the given symbols based on the problem statement: + becomes -, - becomes *, * becomes /, and / becomes +.
Rewriting the equation
The original equation 27 ÷ 66 * 11 - 7 + 10 becomes 27 + 66 / 11 * 7 - 10.
Solving via BODMAS
Follow BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction): 1) Division: 66 / 11 = 6. 2) Multiplication: 6 * 7 = 42. 3) Addition: 27 + 42 = 69. 4) Subtraction: 69 - 10 = 59.
B: 60 is incorrect as the calculated result is 59. C: 58 is incorrect as it does not follow the order of operations. D: 56 is incorrect as the arithmetic result is definitively 59.
A is correct because substituting the given operators and applying BODMAS (27 + 66 / 11 * 7 - 10) results in 27 + 6 * 7 - 10 = 27 + 42 - 10 = 59.
Always perform the division step first when dealing with equations involving multiple operators, as failure to do so is the most common cause of errors.
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