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What will come in the place of the question mark (?) in the following equation, if тАШ+тАЩ and тАШ├╖тАЩ are interchanged and тАШ├ЧтАЩ and тАШтИТтАЩ are interchanged? 10 + 2 тИТ 10 ├╖ 5 ├Ч 10 =?
40
45
35
32
45
Rewrite the equation immediately with new symbols and apply BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) sequentially.
Rewrite the equation immediately with new symbols and apply BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) sequentially.
Symbol Interchange
Given original equation: 10 + 2 - 10 / 5 * 10. Applying interchanges: '+' becomes '/', '-' becomes '', '/' becomes '+', and '' becomes '-'. New equation: 10 / 2 * 10 + 5 - 10.
Apply BODMAS Rule
First, Division: 10 / 2 = 5. Now equation is 5 * 10 + 5 - 10. Next, Multiplication: 5 * 10 = 50. Equation becomes 50 + 5 - 10.
Final Calculation
Perform Addition: 50 + 5 = 55. Perform Subtraction: 55 - 10 = 45.
A: Resulting 40 is obtained by ignoring the correct order of operations. C: Resulting 35 is obtained by miscalculating 55-10. D: Resulting 32 is obtained by ignoring the division change.
B is correct because replacing the symbols according to the rule and following the BODMAS sequence yields the final result of 45.
Always rewrite the entire equation with the swapped signs before calculating to avoid mental errors; neglecting the order of operations is the most common trap.
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