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What will come in place of the question mark (?) in the following equation if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged? 55 × 5 – 3 ÷ 6 + 12 = ?
17
15
13
21
17
Apply the BODMAS rule strictly after swapping symbols: Division first, then Multiplication, Addition, and Subtraction.
Apply the BODMAS rule strictly after swapping symbols: Division first, then Multiplication, Addition, and Subtraction.
Step 1: Interchange the signs
Given expression: 55 x 5 - 3 / 6 + 12. Swapping the signs as per instructions (x becomes /, / becomes x, + becomes -, - becomes +), the new expression is: 55 / 5 + 3 x 6 - 12.
Step 2: Solve using BODMAS
Perform division: 55 / 5 = 11. Now the equation is 11 + 3 x 6 - 12. Perform multiplication: 3 x 6 = 18. Now the equation is 11 + 18 - 12.
Step 3: Final Arithmetic
Perform addition: 11 + 18 = 29. Finally, perform subtraction: 29 - 12 = 17.
B: 15 is incorrect because it fails to result from the order of operations. C: 13 is incorrect as it results from misapplying the sequence of signs. D: 21 is incorrect as it ignores the BODMAS structure after swapping.
A is correct because applying the interchanged signs (55 / 5 + 3 x 6 - 12) strictly following BODMAS yields 11 + 18 - 12, which equals 17.
Always rewrite the full equation with the new signs before performing any calculations to avoid mental arithmetic errors.
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