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What will come in place of the question mark (?) in the following equation if ‘÷’ and ‘×’ are interchanged? 132 × 12 ÷ 9 + 27 – 51 = ?
78
65
75
70
75
Apply the BODMAS rule strictly after swapping the operators: Division, Multiplication, Addition, and then Subtraction.
Apply the BODMAS rule strictly after swapping the operators: Division, Multiplication, Addition, and then Subtraction.
Interchange operators
Given equation: 132 * 12 / 9 + 27 - 51. After swapping * and /, the new equation becomes: 132 / 12 * 9 + 27 - 51.
Solve using BODMAS
First, division: 132 / 12 = 11. Now the equation is: 11 * 9 + 27 - 51.
Multiply and complete
Multiplication: 11 * 9 = 99. Then addition: 99 + 27 = 126. Finally, subtraction: 126 - 51 = 75.
A: 78 is incorrect as it results from calculation errors; B: 65 is incorrect as it fails the BODMAS order of operations; D: 70 is incorrect as it implies an arithmetic mistake in the final subtraction step.
C is correct because the step-by-step application of BODMAS on the modified equation 132 / 12 * 9 + 27 - 51 yields exactly 75.
Always ensure you write the full modified equation before performing operations to avoid missing a term or misinterpreting the BODMAS sequence.
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