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What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘-’ are interchanged and ‘x’ and ‘÷’ are interchanged? 8 ÷ 2 + 14 x 7 - 7 = ?
12
18
14
21
21
Apply BODMAS strictly after swapping symbols: replace / with x, + with -, x with /, and - with +.
Apply BODMAS strictly after swapping symbols: replace / with x, + with -, x with /, and - with +.
Symbol Replacement
Given equation: 8 / 2 + 14 x 7 - 7. Applying swaps: / becomes x, + becomes -, x becomes /, - becomes +. New equation: 8 x 2 - 14 / 7 + 7.
BODMAS Calculation
Step 1: Divide (14 / 7 = 2). Equation becomes: 8 x 2 - 2 + 7. Step 2: Multiply (8 x 2 = 16). Equation becomes: 16 - 2 + 7. Step 3: Add and Subtract (16 - 2 = 14; 14 + 7 = 21).
A: 12 is incorrect as it results from improper order of operations. B: 18 is incorrect as it fails to prioritize division over subtraction. C: 14 is incorrect due to a calculation error in the final step of the sequence.
D is correct because following the BODMAS rule after applying the specified sign swaps results in exactly 21.
Always rewrite the entire equation with new symbols before starting calculations to avoid accidental sign misuse during intermediate steps.
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