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72
67
69
75
69
Rewrite the equation immediately with the swapped operators and apply BODMAS strictly: first Divide, then Multiply, then Add/Subtract.
Rewrite the equation immediately with the swapped operators and apply BODMAS strictly: first Divide, then Multiply, then Add/Subtract.
Apply Symbol Interchanges
Given the rules: '+' becomes '-', '-' becomes '+', 'x' becomes '├╖', and '├╖' becomes 'x'. The equation 31 + 14 - 28 x 7 ├╖ 13 becomes 31 - 14 + 28 ├╖ 7 x 13.
Solve using BODMAS
Following the BODMAS rule (Division, Multiplication, Addition, Subtraction): First, 28 ├╖ 7 = 4. Then, 4 x 13 = 52. The equation is now 31 - 14 + 52.
Final Calculation
Perform Addition and Subtraction left to right: 31 - 14 = 17. Then, 17 + 52 = 69.
A: 72 is incorrect as the division and multiplication were performed in the wrong order; B: 67 is incorrect due to a calculation error in the final addition; D: 75 is incorrect as it results from applying incorrect precedence rules.
C is correct because applying the symbol swaps (31 - 14 + 28 / 7 * 13) and following the BODMAS rule (17 + 4 * 13 = 17 + 52) correctly yields 69.
In competitive exams, always re-write the full equation with swapped symbols before calculating; mentally solving often leads to errors in operator precedence.