What will come in the place of '?' in the following equation, if '$ imes $' and '$-$' are interchanged and '$

Question

What will come in the place of '?' in the following equation, if '$	imes $' and '$-$' are interchanged and '$\div $' and '$+$' are interchanged?$$55 	imes 45 + 5 - 8 \div 4 = ?$$

Examoogle · Accepted Answer

The correct answer is Option C: 13. Apply BODMAS strictly after swapping symbols: Division and addition swap positions, and multiplication and subtraction swap positions.

Step-by-Step Solution & Concepts:
Shortcut Trick: Apply BODMAS strictly after swapping symbols: Division and addition swap positions, and multiplication and subtraction swap positions.

Steps: Symbol Interchange: Replace '×' with '-', '-' with '×', '÷' with '+', and '+' with '÷'. The equation becomes: 55 - 45 ÷ 5 + 8 × 4.. Apply BODMAS: Divide first: 45 ÷ 5 = 9. Then multiply: 8 × 4 = 32. The equation is now 55 - 9 + 32.. Final Calculation: Perform subtraction and addition: 55 - 9 = 46, then 46 + 32 = 78.

Answer: Option C is correct because after interchanging the operators and applying BODMAS (55 - 45/5 + 8*4), the result is 78.

Why options are wrong: A, B, and D result in values (77, 17, -13, 47) which do not match the correct calculation of 78.

Exam Tip: Always verify the order of operations (BODMAS/PEMDAS) after swapping symbols, as division and multiplication carry higher priority than addition and subtraction.

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