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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? 2 ÷ 1 + 6 × 3 − 2 = ?
8
6
2
4 Question ID : 441009926096 Option 1 ID : 4410093658455 Option 2 ID : 4410093658454 Option 3 ID : 4410093658452 Option 4 ID : 4410093658453 Status : Answered Chosen Option : C
2
Apply the interchanged operators immediately to the equation before solving with BODMAS rule to prevent sign confusion.
Apply the interchanged operators immediately to the equation before solving with BODMAS rule to prevent sign confusion.
Substitute the Interchanged Operators
Given interchanged operators: '+' becomes '-', '-' becomes '+', '×' becomes '÷', '÷' becomes '×'. The equation 2 ÷ 1 + 6 × 3 - 2 transforms into 2 × 1 - 6 ÷ 3 + 2.
Apply BODMAS Rule
Following the BODMAS sequence (Division, Multiplication, Addition, Subtraction): First divide (6 ÷ 3 = 2), so the equation is 2 × 1 - 2 + 2. Next, multiply (2 × 1 = 2), resulting in 2 - 2 + 2. Finally, perform addition and subtraction (2 - 2 + 2 = 2).
A: Result 8 is incorrect due to improper sign placement or calculation error. B: Result 6 is incorrect as it ignores the BODMAS division precedence. D: Result 4 is incorrect as it results from applying addition before division.
C is correct because replacing signs as instructed leads to the expression 2 * 1 - 6 / 3 + 2, which equals 2 - 2 + 2 = 2 after performing operations based on BODMAS rules.
In questions involving sign interchange, always write out the full new equation clearly on the scratchpad first to avoid mental transposition errors; never skip the Division step of BODMAS.
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