Data Sufficiency - Verbal and Reasoning

Q1:

Question: On which date of the month was Anjali born in February 2004 ? Statements:
  1. Anjali was born on an even date of the month.
  2. Anjali's birth date was a prime number.

A I alone is sufficient while II alone is not sufficient

B II alone is sufficient while I alone is not sufficient

C Either I or II is sufficient

D Neither I nor II is sufficient

E Both I and II are sufficient

ANS:E - Both I and II are sufficient

Explanation: From I and II, we conclude that Anjali was born in February 2004 on a date which is an even prime number. Since the only even prime number is 2, so Anjali was born on 2nd February, 2004.