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What will come in the place of '?' in the following equation, if '+' and '├╖' are interchanged and '├Ч' and '-' are interchanged? 63+9├Ч6├╖13тИТ4=?
51
53
55
48
53
Apply BODMAS strictly after substituting the operators: 63 / 9 - 6 + 13 * 4. Solve Multiplication/Division first, then Addition/Subtraction.
Apply BODMAS strictly after substituting the operators: 63 / 9 - 6 + 13 * 4. Solve Multiplication/Division first, then Addition/Subtraction.
Symbol Interchange
Given the rules: '+' replaces '├╖', '├╖' replaces '+', '├Ч' replaces '-', and '-' replaces '├Ч'. The equation 63 + 9 ├Ч 6 ├╖ 13 - 4 becomes 63 ├╖ 9 - 6 + 13 ├Ч 4.
BODMAS Application
Follow BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction): First divide (63 ├╖ 9 = 7), then multiply (13 ├Ч 4 = 52). Equation now: 7 - 6 + 52.
Final Calculation
Perform addition and subtraction left to right: (7 + 52) - 6 = 59 - 6 = 53.
A: 51 is incorrect as it results from miscalculating the order of operations. C: 55 is incorrect due to arithmetic error in the final step. D: 48 is incorrect because it ignores the correct sequence of BODMAS after symbol replacement.
B is correct because replacing the symbols based on the instructions results in 63 ├╖ 9 - 6 + 13 ├Ч 4, which simplifies to 7 - 6 + 52 = 53.
Always perform the symbol replacement first before doing any calculation. A common trap is failing to treat division and multiplication with priority over addition/subtraction.
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