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What will come in place of the question mark (?) in the following equation if ‘÷’ and ‘×’ are interchanged? 104 × 8 ÷ 11 + 33 – 47 = ?
124
135
137
129
129
Apply BODMAS rule immediately after swapping the signs: Bracket, Of, Division, Multiplication, Addition, Subtraction.
Apply BODMAS rule immediately after swapping the signs: Bracket, Of, Division, Multiplication, Addition, Subtraction.
Interchange the symbols
The original equation is 104 × 8 ÷ 11 + 33 - 47. Interchanging × and ÷ gives 104 ÷ 8 × 11 + 33 - 47.
Apply BODMAS rule
First, divide 104 by 8, which equals 13. Then, multiply 13 by 11, which equals 143.
Perform Addition and Subtraction
Now the equation is 143 + 33 - 47. 143 + 33 = 176. Finally, 176 - 47 = 129.
A: 124 is incorrect as it results from wrong order of operations; B: 135 is incorrect due to arithmetic error during addition; C: 137 is incorrect as it ignores the BODMAS precedence of division/multiplication.
D is correct because following the BODMAS rule after swapping the operators yields 104 divided by 8 (13), multiplied by 11 (143), plus 33 (176), minus 47, which equals 129.
Always write the new equation clearly before calculating to avoid sign confusion, and remember that division and multiplication are processed from left to right.
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