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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? 51 − 8 ÷ 2 + 6 × 2 = ?
71
66
64
70
64
Apply BODMAS strictly after swapping signs: replace - with +, + with -, ÷ with ×, and × with ÷, then solve left to right.
Apply BODMAS strictly after swapping signs: replace - with +, + with -, ÷ with ×, and × with ÷, then solve left to right.
Symbol Substitution
Replace the operators as given: '-' becomes '+', '+' becomes '-', '÷' becomes '×', and '×' becomes '÷'. The equation becomes: 51 + 8 × 2 - 6 ÷ 2.
Apply BODMAS Rule
Perform division and multiplication first: 8 × 2 = 16 and 6 ÷ 2 = 3. The expression simplifies to 51 + 16 - 3.
Final Calculation
Complete addition and subtraction: 51 + 16 = 67, and 67 - 3 = 64.
A: 71 is incorrect as it ignores correct BODMAS hierarchy. B: 66 is incorrect as it results from faulty arithmetic. D: 70 is incorrect as it miscalculates the final subtraction phase.
C is correct because applying the interchanged signs and solving via BODMAS yields 51 + 16 - 3 = 64.
Always write the new equation clearly before calculating to avoid sign confusion, as mistakes in copying signs are the most common cause of error in these questions.
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