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যদি '+' এবং '-' পারস্পরিকভাবে বিনিময় করা হয় এবং '×' এবং '÷' পারস্পরিকভাবে বিনিময় করা হয়, তাহলে নিম্নলিখিত সমীকরণে '?' এর স্থানে কী আসবে?
33 + 31 × 31 ÷ 2 - 49 =?
80
81
78
82
80
Apply BODMAS rule after swapping symbols (+ < → - and × < → ÷) systematically to avoid calculation errors.
Apply BODMAS rule after swapping symbols (+ < → - and × < → ÷) systematically to avoid calculation errors.
Symbol Interchange
Replace '+' with '-', '-' with '+', '×' with '÷', and '÷' with '×'. The equation becomes: 33 - 31 ÷ 31 × 2 + 49.
Applying BODMAS
Follow the order: Division, Multiplication, Addition, Subtraction. First, 31 ÷ 31 = 1. Then, 1 × 2 = 2.
Final Calculation
The expression simplifies to 33 - 2 + 49. Calculate 33 - 2 = 31, then 31 + 49 = 80.
B: 81 is incorrect as it results from improper order of operations. C: 78 is incorrect due to arithmetic error during subtraction/addition. D: 82 is incorrect as it ignores the division step priority.
A is correct because substituting the operators and applying BODMAS (33 - (31/31)*2 + 49) yields exactly 80.
Always write the new equation clearly before calculating to avoid swapping signs midway through the problem.
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