Twelve persons were born on either the 7th or 16th of six different months: January, March, June, July, September, and October, but not necessarily in...

Twelve persons were born on either the 7th or 16th of six different months: January, March, June, July, September, and October, but not necessarily in that order. Persons whose names start with a letter before 'M' were born in the first half of the year, and those whose names start with a letter after 'M' were born in the second half of the year. The letter order follows the English alphabet. For example, Rajesh would be born in the second half of the year. A person whose name has an even number of letters is born on an odd-numbered date, and vice versa. For example, Ramesh has 6 letters, so he is born on the 7th. Only two persons were born between Pranav and Kumar. The number of persons born before Gaurav equals the number of persons born after Yaati. Exactly four persons were born between Kunal and Gaurav. The number of persons born between Kunal and Sriti is one more than the number of persons born between Puja and Ram. Ayush was born before Kishan and Gopi. Puja was born in a month with 31 days. Not more than two persons were born between Kishan and Ram. Swathi is one of the persons.

Question: On which date was Gaurav born?