BODMAS Rule:
Given equation:
6 × 3 - 8 ÷ 2 + 5 = 8 ÷ 2 + 3 × 5 - 6
Let's check each option one by one:
Option 1) 6 and 2
After interchanging 6 and 2:
2 × 3 - 8 ÷ 6 + 5 = 8 ÷ 6 + 3 × 5 - 2
LHS = (2 × 3) - (8 ÷ 6) + 5
= 6 - 1.33 + 5
= 9.67
RHS = (8 ÷ 6) + (3 × 5) - 2
= 1.33 + 15 - 2
= 14.33
Since 9.67 ≠ 14.33, this option is incorrect.
Option 2) 8 and 6
After interchanging 8 and 6:
8 × 3 - 6 ÷ 2 + 5 = 6 ÷ 2 + 3 × 5 - 8
LHS = (8 × 3) - (6 ÷ 2) + 5
= 24 - 3 + 5
= 26
RHS = (6 ÷ 2) + (3 × 5) - 8
= 3 + 15 - 8
= 10
Since 26 ≠ 10, this option is incorrect.
Option 3) 5 and 6
After interchanging 5 and 6:
5 × 3 - 8 ÷ 2 + 6 = 8 ÷ 2 + 3 × 6 - 5
LHS = (5 × 3) - (8 ÷ 2) + 6
= 15 - 4 + 6
= 17
RHS = (8 ÷ 2) + (3 × 6) - 5
= 4 + 18 - 5
= 17
Since 17 = 17, this option is correct.
Option 4) 3 and 5
After interchanging 3 and 5:
6 × 5 - 8 ÷ 2 + 3 = 8 ÷ 2 + 5 × 3 - 6
LHS = (6 × 5) - (8 ÷ 2) + 3
= 30 - 4 + 3
= 29
RHS = (8 ÷ 2) + (5 × 3) - 6
= 4 + 15 - 6
= 13
Since 29 ≠ 13, this option is incorrect.
Hence, the correct answer is "Option 3".