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What will come in the place of the question mark (?) in the following equation if ‘÷’ and ‘−' are interchanged and ‘+’ and ‘×’ are interchanged? 10 + 52 − 13 × 4 ÷ 18 = ?
24
26
22
19
26
Write out the expression carefully, apply the symbol interchanges first without doing any math, then evaluate strictly according to the BODMAS/PEMDAS rule.
Write out the expression carefully, apply the symbol interchanges first without doing any math, then evaluate strictly according to the BODMAS/PEMDAS rule.
Step 1: Note the Given Expression
The given mathematical expression is: 10 + 52 - 13 * 4 / 18 =?
Step 2: Apply Interchange Rules
Replace '+' with '×', '-' with '÷', '×' with '+', and '÷' with '-'. The equation becomes: 10 × 52 ÷ 13 + 4 - 18 = ?
Step 3: Apply BODMAS Rule
First perform Division and Multiplication from left to right. 10 × 52 = 520; 520 ÷ 13 = 40. Then perform Addition and Subtraction: 40 + 4 - 18 = 44 - 18 = 26.
A: 24 is incorrect because failing to follow exact BODMAS order yields 24. C: 22 is incorrect due to arithmetic sign errors during subtraction. D: 19 is incorrect as it results from miscalculating intermediate multiplication/division steps.
B is correct because replacing symbols according to the given rule transforms the equation to 10 * 52 / 13 + 4 - 18, which evaluates via BODMAS to 40 + 4 - 18 = 26.
Always rewrite the entire expression clearly after substituting all symbols before performing any calculation to avoid sign confusion.
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