Correct Answer: +, ÷, ×, –, =

Solution : Given:
9 * 16 * 64 * 8 * 2 * 9

Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option: ÷, +, ×, –, =
9 ÷ 16 + 64 × 8 – 2 = 9
Solving the L.H.S. of the equation –
= 0.5625 + 64 × 8 – 2
= 0.5625 + 512 – 2
= 510.5625 ≠ 9
Second option: –, ÷, +, ×, =
9 – 16 ÷ 64 + 8 × 2 = 9
Solving the L.H.S. of the equation –
= 9 – 0.25 + 8 × 2
= 9 – 0.25 + 16
= 25 – 0.25
= 24.75 ≠ 9
Third option: +, ÷, ×, –, =
9 + 16 ÷ 64 × 8 – 2 = 9
Solving the L.H.S. of the equation –
= 9 + 0.25 × 8 – 2
= 9 + 2 – 2
= 9
Fourth option: ÷, –, +, ×, =
9 ÷ 16 – 64 + 8 × 2 = 9
Solving the L.H.S. of the equation –
= 0.5625 – 64 + 8 × 2
= 0.5625 – 64 + 16
= –47.4375 ≠ 9

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