If the signs '+' and 'x' are interchanged, then which one of the following…

To determine which equation is correct after interchanging the signs '+' and '×', we must rewrite each option by swapping these operators and then applying the BODMAS rule (Bracket, Order, Division, Multiplication, Addition, Subtraction).

Analysis of Options
Option 1: 20 × 2 + 5 ÷ 1 - 6 = 29

Swap signs: 20 + 2 × 5 ÷ 1 - 6

Calculate: 20 + (2 × 5 ÷ 1) - 6 = 20 + 10 - 6 = 24.

Result: 24 ≠ 29 (Incorrect)

Option 2: 38 - 14 + 2 × 6 ÷ 3 = 12

Swap signs: 38 - 14 × 2 + 6 ÷ 3

Calculate (BODMAS: Division first, then Multiplication):

6 ÷ 3 = 2

14 × 2 = 28

38 - 28 + 2 = 12.

Result: 12 = 12 (Correct)

Option 3: 50 + 2 × 5 - 6 ÷ 2 = 27

Swap signs: 50 × 2 + 5 - 6 ÷ 2

Calculate: 50 × 2 + 5 - 3 = 100 + 5 - 3 = 102.

Result: 102 ≠ 27 (Incorrect)

Option 4: 16 + 12 - 6 × 2 ÷ 2 = 22

Swap signs: 16 × 12 - 6 + 2 ÷ 2

Calculate: 16 × 12 - 6 + 1 = 192 - 6 + 1 = 187.

Result: 187 ≠ 22 (Incorrect)