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What will come in the place of '?' in the following equation, if '÷' and '×' are interchanged? 54×9÷8+22−33=?
41
37
39
42
37
Apply BODMAS: First swap the operators, then perform Division, Multiplication, Addition, and finally Subtraction (DMAS).
Apply BODMAS: First swap the operators, then perform Division, Multiplication, Addition, and finally Subtraction (DMAS).
Interchange Operators
Replace '×' with '÷' and '÷' with '×' in the equation. The new equation becomes: 54 ÷ 9 × 8 + 22 - 33 = ?
Apply BODMAS Rule
Step 1 (Division): 54 ÷ 9 = 6. Step 2 (Multiplication): 6 × 8 = 48. Step 3 (Addition): 48 + 22 = 70. Step 4 (Subtraction): 70 - 33 = 37.
A: 41 is incorrect; C: 39 is incorrect; D: 42 is incorrect. All these results stem from ignoring the correct order of operations (BODMAS) after swapping.
B is correct because following the BODMAS rule (Division, Multiplication, Addition, Subtraction) on the modified equation 54 / 9 * 8 + 22 - 33 yields exactly 37.
Always verify the order of operations (BODMAS/PEMDAS) first. Many students make the mistake of performing Addition before Multiplication, which leads to wrong answers.
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