Which of the following interchange of signs would make the given equation correct ?5 + 6 ÷ 3 – 12 × 2 = 17A ÷ and × B + and × C + and ÷ D + and –

To solve this problem, we need to try each option one by one and see which one makes the equation correct.

Option A: ÷ and × If we interchange ÷ and ×, the equation becomes: 5 + 6 × 3 - 12 ÷ 2 = 17 This simplifies to: 5 + 18 - 6 = 17 Which further simplifies to: 23 - 6 = 17 This gives us: 17 = 17, which is correct.

Option B: + and × If we interchange + and ×, the equation becomes: 5 × 6 ÷ 3 - 12 + 2 = 17 This simplifies to: 30 ÷ 3 - 12 + 2 = 17 Which further simplifies to: 10 - 12 + 2 = 17 This gives us: 0 = 17, which is incorrect.

Option C: + and ÷ If we interchange + and ÷, the equation becomes: 5 ÷ 6 + 3 - 12 × 2 = 17 This simplifies to: 0.8333 + 3 - 24 = 17 Which further simplifies to: 3.8333 - 24 = 17 This gives us: -20.1667 = 17, which is incorrect.

Option D: + and – If we interchange + and –, the equation becomes: 5 - 6 ÷ 3 + 12 × 2 = 17 This simplifies to: 5 - 2 + 24 = 17 Which further simplifies to: 3 + 24 = 17 This gives us: 27 = 17, which is incorrect.

So, the correct answer is Option A: ÷ and ×.