Question : Directions: If + is interchanged with ×, and – is interchanged with ÷, then which of the following equations is correct?

Option 1: 18 + 6 × 24 – 4 ÷ 64 = 50

Option 2: 18 + 6 ÷ 24 – 4 × 64 = 50

Option 3: 18 – 6 × 24 + 4 ÷ 64 = 50

Option 4: 18 ÷ 6 + 24 – 4 × 64 = 50

Correct Answer: 18 + 6 × 24 – 4 ÷ 64 = 50

Solution : Let's check each option –
First Option: 18 + 6 × 24 – 4 ÷ 64 = 50
On interchanging the mathematical signs, we get –
18 × 6 + 24 ÷ 4 – 64 = 50
On solving the L.H.S. of the equation –
= 18 × 6 + 24 ÷ 4 – 64
= 18 × 6 + 6 – 64
= 108 + 6 – 64
= 50
Second Option: 18 + 6 ÷ 24 – 4 × 64 = 50
On interchanging the mathematical signs, we get –
18 × 6 – 24 ÷ 4 + 64 = 50
On solving the L.H.S. of the equation –
= 18 × 6 – 24 ÷ 4 + 64
= 18 × 6 – 6 + 64
= 108 – 6 + 64
= 166 ≠ 50
Third Option: 18 – 6 × 24 + 4 ÷ 64 = 50
On interchanging the mathematical signs, we get –
18 ÷ 6 + 24 × 4 – 64 = 50
On solving the L.H.S. of the equation –
= 18 ÷ 6 + 24 × 4 – 64
= 3 + 24 × 4 – 64
= 3 + 96 – 64
= 35 ≠ 50
Fourth Option: 18 ÷ 6 + 24 – 4 × 64 = 50
On interchanging the mathematical signs, we get –
18 – 6 × 24 ÷ 4 + 64 = 50
On solving the L.H.S. of the equation –
= 18 – 6 × 24 ÷ 4 + 64
= 18 – 6 × 6 + 64
= 18 – 36 + 64
= 46 ≠ 50

So, only the first option satisfies the equation. Hence, the first option is correct.