Babita
Given are: six persons, Ankita, Babita, Sheila, Damini, Pinky, and Kamini
Three of them are facing east and the other three are facing west.
1) Ankita is facing west and she is not sitting at either end.

2) Kamini is sitting exactly to the right of Sheila.
3) Sheila is facing Damini.

4) Pinky is facing the same direction as Kamini is facing.
And, Babita will sit in the remaining spot.

'Babita' is sitting to the left of Ankita.
Therefore, the correct answer is "Babita".