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What will come in the place of '?' in the following equation, if 'div' and '×' are interchanged? 13+11div32×4−10=?
94
85
90
91
91
Follow BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly after interchanging the symbols: divide becomes multiply, and multiply becomes divide.
Follow BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly after interchanging the symbols: divide becomes multiply, and multiply becomes divide.
Interchange Operators
Replace ÷ with × and × with ÷ in the expression 13 + 11 ÷ 32 × 4 - 10. The new expression becomes 13 + 11 × 32 ÷ 4 - 10.
Apply BODMAS Rule
Solve the division first: 32 ÷ 4 = 8. Then the expression is 13 + 11 × 8 - 10.
Perform Multiplication
Solve 11 × 8 = 88. Now the expression is 13 + 88 - 10.
Final Calculation
Perform addition and subtraction: 13 + 88 = 101, and 101 - 10 = 91.
A: 94 is incorrect as it results from miscalculation or incorrect operator priority. B: 85 is incorrect based on the arithmetic sequence of the equation. C: 90 is incorrect as it is an arithmetic error.
D is correct because following the BODMAS rule after swapping the operators gives 13 + 88 - 10 = 91.
Always write down the modified equation clearly before calculating to avoid losing track of operator priority (Division before Multiplication).
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