Correct Answer - Option 2 : 3 and 6, - and ×
The given equation: 6 ÷ 3 × 2 + 4 - 7 = 26.5
On interchanging 6 and 2, + and -, we get:
2 ÷ 3 × 6 - 4 + 7 = 26.5
⇒ 4 - 4 + 7 = 26.5 (false)
On interchanging 3 and 6, - and ×, we get:
3 ÷ 6 - 2 + 4 × 7 = 26.5
⇒ 0.5 - 2 + 28 = 26.5 (correct)
On interchanging 3 and 7, + and -, we get:
6 ÷ 7 × 2 - 4 + 3 = 26.5
⇒ 1.7 - 4 + 3 = 26.5 (false)
On interchanging 4 and 7, × and ÷, we get:
6 × 3 ÷ 2 + 7 - 4 = 26.5
⇒ 9 + 7 - 4 = 26.5 (false)
Hence, we need to interchange 3 and 6 along with - and × to make the equation correct.