We know that, there are six cars - A,B,C,D,E,F and are adjacent to each other
Also, A and B are always next to each other.
We need to know if F is parked in space 1
Statement (1) - Car B and Car C are both parked in even numbered spaces
The even spaces are 2 , 4 and 6
In this there are 2 important scenarios possible,
If Car B is in position 2 and Car C is in position 4 or 6 (position doesent matter for car C here)
Here A has to be adjacent to B
1-> If its in position 1, then Car F cant be in position 1
2-> If its in position 3, then Car F can be in position 1
=> Car F can be in space 1 or somewhere else in this condition
Statement(1) alone is not sufficient
Statement(2) - Car D and Car E are both parked in odd-numbered spaces
The odd spaces are 1, 3 and 5
If car D or E is parked in space 1, car F cannot be in space 1
Lets keep car D in 3 and car E in 5 (can be vice versa too)
Here, we need to keep A and B adjacent to each other
This is only possible if A and B occupy space 1 and 2 which makes it impossible to have car F in space 1
Therefore we know that car F cannot be in space 1 at all.
Statement(2) alone is sufficient
B. Statement (2) alone is sufficient, but statement(1) alone is not sufficient