Five numbers $10,7,5,4$ and $2$ are to be arranged in a sequence from left to right following the directions given below:

1. No two odd or even numbers are next to each other.
2. The second number from the left is exactly half of the left-most number.
3. The middle number is exactly twice the right-most number.

Which is the second number from the right?

1. $2$
2. $4$
3. $7$
4. $10$