Correct Answer: 7 × 6 – 4 + 9 ÷ 3 = –7

Solution : Given:
× and +, 6 and 4

Let's check the given options –
First option: 3 × 9 – 4 ÷ 2 + 6 = 8
On interchanging the signs and numbers, we get –
3 + 9 – 6 ÷ 2 × 4 = 8
Solving the L.H.S. of the equation –
= 3 + 9 – 6 ÷ 2 × 4
= 3 + 9 – 3 × 4
= 3 + 9 – 12
= 12 – 12
= 0 ≠ 8
Second option: 8 × 6 + 4 ÷ 2 – 5 = –5
On interchanging the signs and numbers, we get –
8 + 4 × 6 ÷ 2 – 5 = –5
Solving the L.H.S. of the equation –
= 8 + 4 × 6 ÷ 2 – 5
= 8 + 4 × 3 – 5
= 8 + 12 – 5
= 20 – 5
= 15 ≠ –5
Third option: 8 – 3 × 6 + 4 ÷ 1 = 18
On interchanging the signs and numbers, we get –
8 – 3 + 4 × 6 ÷ 1 = 18
Solving the L.H.S. of the equation –
= 8 – 3 + 4 × 6 ÷ 1
= 8 – 3 + 4 × 6
= 8 – 3 + 24
= 32 – 3
= 29 ≠ 18
Fourth option: 7 × 6 – 4 + 9 ÷ 3 = –7
On interchanging the signs and numbers, we get –
7 + 4 – 6 × 9 ÷ 3 = –7
Solving the L.H.S. of the equation –
= 7 + 4 – 6 × 9 ÷ 3
= 7 + 4 – 6 × 3
= 7 + 4 – 18
= 11 – 18
= –7

So, from the above, only the fourth option satisfies the given equation. Hence, the fourth option is correct.