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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? 15 × 11 ÷ 49 − 7 + 3 = ?
5
15
−5
−15
5
Apply the BODMAS rule strictly after swapping signs: Divide, Multiply, Add, Subtract in sequence.
Apply the BODMAS rule strictly after swapping signs: Divide, Multiply, Add, Subtract in sequence.
Substitute the symbols
Given expression: 15 × 11 ÷ 49 − 7 + 3. Interchanging signs (× becomes +, ÷ becomes -, - becomes ÷, + becomes ×): New expression: 15 + 11 - 49 ÷ 7 × 3.
Apply BODMAS rule
1. Division: 49 ÷ 7 = 7. Expression becomes: 15 + 11 - 7 × 3. 2. Multiplication: 7 × 3 = 21. Expression becomes: 15 + 11 - 21. 3. Addition: 15 + 11 = 26. 4. Subtraction: 26 - 21 = 5.
B: 15 is incorrect because it fails to result from the final subtraction of 26 - 21. C: -5 is incorrect as the result is positive. D: -15 is incorrect as the arithmetic sequence clearly yields 5.
A is correct because the application of BODMAS on the transformed expression 15 + 11 - (49 / 7) * 3 simplifies to 26 - 21, which equals 5.
Always write down the modified equation clearly before performing operations to avoid common sign-flipping errors during high-pressure exam conditions.