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What will come in the place of '?' in the following equation, if '+' and '-' are interchanged and '×' and '÷' are interchanged? 25+15−9÷10×5=?
55
82
28
22
28
Apply BODMAS strictly after swapping the symbols. The sequence of operations is: Division, then Multiplication, then Addition/Subtraction.
Apply BODMAS strictly after swapping the symbols. The sequence of operations is: Division, then Multiplication, then Addition/Subtraction.
Symbol Substitution
Replace the operators as instructed: '+' becomes '-', '-' becomes '+', '÷' becomes '×', and '×' becomes '÷'. The equation 25 + 15 - 9 ÷ 10 × 5 transforms to 25 - 15 + 9 × 10 ÷ 5.
BODMAS Application
Perform the operations in order: First, division (10 ÷ 5 = 2). Then, multiplication (9 × 2 = 18). Finally, perform addition and subtraction from left to right: (25 - 15) + 18 = 10 + 18 = 28.
A: 55 is the result if symbols are not swapped properly; B: 82 is mathematically incorrect; D: -22 occurs if operations are performed out of sequence (ignoring BODMAS).
C is correct because applying the BODMAS rule to the transformed equation 25 - 15 + 9 × 10 ÷ 5 results in 28.
In symbol-swap questions, always rewrite the entire equation clearly before starting the calculation to avoid losing track of the new operators.
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