Correct Answer - Option 1 : Deepti
From the given information,
1) Anitha is twice as old as Mahima
Anitha > Mahima
2) Rajan is half the age of Mahima
Anitha > Mahima > Rajan
3) Anitha is half the age of Deepti and Rajan is twice the age of Latha.
Deepti > Anitha > Mahima > Rajan > Lalitha
The final arrangement is Deepti > Anitha > Mahima > Rajan > Lalitha
Hence, Deepti is the oldest.