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What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘×’ are interchanged and ‘−’ and ‘÷’ are interchanged? 12 + 4 − 24 × 11 ÷ 13 = ?
−20
10
0
−10
0
Rewrite the equation immediately by substituting the symbols and apply BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly.
Rewrite the equation immediately by substituting the symbols and apply BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly.
Apply Symbol Interchange
Given original equation: 12 + 4 - 24 * 11 / 13. With rules: + becomes *, - becomes /, * becomes +, / becomes -. The new equation is: 12 * 4 / 24 + 11 - 13.
Solve using BODMAS
First, perform Division: 4 / 24 = 1/6. Now: 12 * (1/6) + 11 - 13. Second, perform Multiplication: 12 * (1/6) = 2. Now: 2 + 11 - 13. Third, Addition: 2 + 11 = 13. Finally, Subtraction: 13 - 13 = 0.
A: -20 is incorrect because the result of the calculated expression is 0, not -20. B: 10 is incorrect because it fails to satisfy the BODMAS sequence of operations. D: -10 is incorrect as the final subtraction leads to 0, not -10.
C is correct because applying the interchanged signs and solving via BODMAS yields (12*4/24) + 11 - 13 = 2 + 11 - 13 = 0.
Always perform division and multiplication first before addition and subtraction; common errors occur when students solve from left to right without respecting the order of operations.
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