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What will come in the place of '?' in the following equation, if '÷' and '−' are interchanged and '×' and '+' are interchanged? 3+13×26÷8−4=?
63
43
73
53
63
Apply BODMAS after swapping operators. Replace ÷ with -, - with ÷, × with +, and + with ×. Then compute 3 * 13 + 26 - 8 / 4.
Apply BODMAS after swapping operators. Replace ÷ with -, - with ÷, × with +, and + with ×. Then compute 3 * 13 + 26 - 8 / 4.
Symbol Replacement
Given the rules: ÷ replaces -, - replaces ÷, × replaces +, and + replaces ×. The expression '3 + 13 × 26 ÷ 8 - 4' becomes '3 × 13 + 26 - 8 ÷ 4'.
BODMAS Application
Following BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction): First perform division: 8 ÷ 4 = 2. The expression becomes 3 × 13 + 26 - 2.
Final Calculation
Perform multiplication: 3 × 13 = 39. Then perform addition and subtraction: 39 + 26 = 65, and 65 - 2 = 63.
B: 43 is incorrect, resulting from incorrect operation order or sign swapping. C: 73 is incorrect, not matching the result of the expression. D: 53 is incorrect, not matching the calculated value.
A is correct because the transformed equation 3 × 13 + 26 - 8 ÷ 4 simplifies to 39 + 26 - 2 = 63.
Always write down the replaced equation clearly before applying BODMAS to avoid sign errors, which are the most common cause of mistakes in these problems.
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