Option 1: 6 + 8 × 2 ÷ 4 - 5 = 14
interchanging the two numbers 5 and 2 we get:
6 + 8 × 5 ÷ 4 - 2 = 14
applying the BODMAS we get:
6 + 8 × 1.25 - 2 = 14
6 + 10 - 2 = 14
16 - 2 = 14
14 = 14
The given equation is correct.
Option 2: 8 + 6 × 2 ÷ 5 - 4 = 19
interchanging the two numbers 5 and 2 we get:
8 + 6 × 5 ÷ 2 - 4 = 19
applying the BODMAS we get:
8 + 6 × 2.5 - 4 = 19
8 + 15 - 4 = 19
23 - 4 = 19
19 = 19
The given equation is correct.
Option 3: 2 + 8 × 7 ÷ 4 - 5 = 17
interchanging the two numbers 5 and 2 we get:
5 + 8 × 7 ÷ 4 - 2 = 17
applying the BODMAS we get:
5 + 8 × 1.75 - 2 = 17
5 + 14 - 2 = 17
19 - 2 = 17
17 = 17
The given equation is correct.
Option 4: 5 + 2 × 6 ÷ 4 - 1 = 7
interchanging the two numbers 5 and 2 we get:
2 + 5 × 6 ÷ 4 - 1 = 7
applying the BODMAS we get:
2 + 5 × 1.5 - 1 = 7
2 + 7.5 - 1 = 7
9.5 - 1 = 7
8.5 ≠ 7
The given equation is not correct after interchanging the two numbers 5 and 2.
Hence, the correct answer is "Option 4".