Correct Answer: + and ÷

Solution : Given:
9 + 3 – 4 ÷ 5 × 2 = 9

Let's check each option –
First option: – and ×
On interchanging the mathematical signs, we get –
9 + 3 × 4 ÷ 5 – 2 = 9
On solving the L.H.S. of the equation –
= 9 + 3 × 4 ÷ 5 – 2
= 9 + 2.4 – 2
= 9.4 ≠ 9
Second option: + and ×
On interchanging the mathematical signs, we get –
9 × 3 – 4 ÷ 5 + 2 = 9
On solving the L.H.S. of the equation –
= 9 × 3 – 4 ÷ 5 + 2
= 9 × 3 – 0.8 + 2
= 27 – 0.8 + 2
= 28.2 ≠ 9
Third option: + and ÷
On interchanging the mathematical signs, we get –
9 ÷ 3 – 4 + 5 × 2 = 9
On solving the L.H.S. of the equation –
= 9 ÷ 3 – 4 + 5 × 2
= 3 – 4 + 5 × 2
= 3 – 4 + 10
= 9
Fourth option: – and +
On interchanging the mathematical signs, we get –
9 – 3 + 4 ÷ 5 × 2 = 9
On solving the L.H.S. of the equation –
= 9 – 3 + 4 ÷ 5 × 2
= 9 – 3 + 0.8 × 2
= 9 – 3 + 1.6
= 7.6 ≠ 9

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