Data Sufficiency — Date of birth (February 2004): On which date was Anjali born? Statement I: Anjali was born on an even date in February 2004. Statement II: Anjali's birth date was a prime number. Decide which statements are sufficient to answer the question. Choose the correct sufficiency option.
Verbal Reasoning
Data Sufficiency
Difficulty: Easy
Choose an option
Answer
Correct Answer: Both statements I and II together are sufficient, but neither alone is sufficient.
Explanation
Key factsFebruary 2004 has 29 days (leap year).Even dates in Feb: 2, 4, 6, ..., 28.Prime dates ≤ 29: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.
IntersectionEven ∩ Prime = 2 only.
ConclusionNeither statement alone identifies the date, but together they uniquely give 2nd February 2004.
Final AnswerBoth statements I and II together are sufficient, but neither alone is sufficient.