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.

Difficulty: Easy

Statement I alone is sufficient, but Statement II alone is not sufficient.
Statement II alone is sufficient, but Statement I alone is not sufficient.
Both statements I and II together are sufficient, but neither alone is sufficient.
Either statement I or statement II alone is sufficient.
Even both statements I and II together are not sufficient.

Correct Answer: Both statements I and II together are sufficient, but neither alone is sufficient.

Explanation:

Key facts
February 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.

Intersection
Even ∩ Prime = 2 only.

Conclusion
Neither statement alone identifies the date, but together they uniquely give 2nd February 2004.

Final Answer
Both statements I and II together are sufficient, but neither alone is sufficient.

Discussion & Comments

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