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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? 24 + 6 − 11 × 15 ÷ 12 = ?
31
51
61
41
41
Apply BODMAS rule strictly after swapping signs: Divide, Multiply, Add, then Subtract to ensure accuracy.
Apply BODMAS rule strictly after swapping signs: Divide, Multiply, Add, then Subtract to ensure accuracy.
Interchange the signs
Given expression: 24 + 6 - 11 * 15 / 12. Swapping '+' with '/', and '*' with '-': New expression becomes 24 / 6 * 11 - 15 + 12.
Solve using BODMAS
Step 1 (Division): 24 / 6 = 4. Equation is now 4 * 11 - 15 + 12. Step 2 (Multiplication): 4 * 11 = 44. Equation is 44 - 15 + 12. Step 3 (Addition): 44 + 12 = 56. Step 4 (Subtraction): 56 - 15 = 41.
A: 31 is incorrect as it results from calculation errors in the sequence of operations. B: 51 is incorrect as it fails to follow the correct BODMAS order. C: 61 is incorrect as it ignores the sign swap requirements.
D is correct because following the BODMAS rule after swapping the signs results in 41.
Always write down the new equation clearly before calculating to avoid mixing up swapped signs during the BODMAS process.
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