What a Compound!

Which of these statements are correct for the compound Pent-2,3-diene? \((\ce {CH3--CH==C==CH--CH3})\)

1. It is planar.

2. Cis-trans isomerism don't exist

3. There are 2 - sp - hybridised carbon atoms.

4. There are 2 - \(sp^2\)-hybridised carbon atoms.

5. The molecule is achiral.

6. Both the \(\pi\)-bonds are perpendicular to molecular plane.

7. It has no \(sp\) - hybridised carbon

8. It has two geometrical isomers

9. Middle carbon is \(sp^2\) - hybridised

10. It's mirror images overlap.

Enter your answer as the product of the respective option numbers of correct response.

Clarification If you think statements 2,3 and 5 are true, enter your answer as \(2 \times 3 \times 5 = 30.\)

This is a part of my set Aniket's Chemistry Challenges. (BEST OF JEE - ADVANCED)