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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? 17 + 9 − 3 × 3 ÷ 7 = ?
47
43
49
40
47
Apply BODMAS strictly after swapping the operators: 17 + 9 - 3 x 3 ÷ 7 becomes 17 x 9 ÷ 3 + 3 - 7.
Apply BODMAS strictly after swapping the operators: 17 + 9 - 3 x 3 ÷ 7 becomes 17 x 9 ÷ 3 + 3 - 7.
Interchange Operators
Replace '+' with '×', '×' with '+', '÷' with '-', and '-' with '÷'. The equation becomes: 17 × 9 ÷ 3 + 3 - 7.
Apply BODMAS Rule
Solve Division first: 9 ÷ 3 = 3. Now the equation is 17 × 3 + 3 - 7.
Final Calculation
Solve Multiplication: 17 × 3 = 51. Then 51 + 3 - 7 = 54 - 7 = 47.
B: 43 is incorrect as the arithmetic order 51+3-7 yields 47, not 43. C: 49 is incorrect due to miscalculation of the final addition or subtraction steps. D: 40 is incorrect as it ignores the correct BODMAS order of operations.
A is correct because applying the interchanged operators and following the BODMAS rule (17 * 9 / 3 + 3 - 7) leads to the result 47.
Always rewrite the full equation clearly after swapping symbols to avoid mental calculation errors. Ensure division is handled before multiplication if they appear in sequence.
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