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What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 26 + 43 − 32 × 23 ÷ 46 = ?
47
49
48
45
47
Apply BODMAS strictly after swapping the symbols: (26 - 43 + 32 ÷ 23 × 46). Solve division first (32/23), then multiply (32/23 * 46), then add and subtract.
Apply BODMAS strictly after swapping the symbols: (26 - 43 + 32 ÷ 23 × 46). Solve division first (32/23), then multiply (32/23 * 46), then add and subtract.
Symbol Substitution
Replace '+' with '-', '-' with '+', '×' with '÷', and '÷' with '×'. The equation becomes: 26 - 43 + 32 ÷ 23 × 46.
BODMAS Application
Calculate the Division and Multiplication parts first: (32 ÷ 23) × 46. Since 46/23 = 2, this simplifies to 32 × 2 = 64.
Final Arithmetic
Substitute back into the expression: 26 - 43 + 64. Perform addition/subtraction from left to right: 26 - 43 = -17. Then, -17 + 64 = 47.
B: 49 is incorrect as it results from wrong order of operations; C: 48 and D: 45 are calculation errors ignoring the division priority.
A is correct because applying the BODMAS rule to the transformed expression 26 - 43 + 32 ÷ 23 × 46 yields exactly 47.
In swap questions, always write the new equation clearly before calculating to avoid confusing the original operators with the new ones.
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