Correct Answer - Option 3 : 8
Akhil remembers his friend's birthday is after 7th June (i.e. on 8th, 9th, 10th, etc.) while his sister remembers the date is before 9th June (i.e. on 8th, 7th, 6th, etc.).
Combining both the statements we get only one possible date which is 8th June.
Hence, option (3) is the correct answer.