6. Lynn was born on February 29th. She celebrates her birthday every year on the last day of February. Lynn's cousin, Pete, whose date of birth is the same as that of Lynn, celebrated his birthday today. Is it February 28th today? (1) Lynn had a birthday party exactly four years ago. (2) Pete turned exactly 24 years old today.
Answer: D
Each statement alone is sufficient.
Both statements provided are sufficient to determine whether it is February 28th today. Statement (1) indicates that Lynn had a birthday party exactly four years ago, implying that it is a leap year, while Statement (2) confirms that Pete turned 24 today, indicating that he was born on a leap day and thus reinforces the conclusion.
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (1) alone provides information about Lynn's birthday party occurring four years ago, which suggests it was a leap year. However, without knowing Pete's age, we cannot definitively conclude that today is February 28th, making this option incorrect.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Statement (2) indicates that Pete turned 24 today, which means he was born on February 29. Since 24 years from a leap day must be in a leap year, this implies that it is indeed February 28 today. However, this statement alone does not provide the context of Lynn's birthday celebrations, rendering this option incorrect.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
While both statements together confirm that it is February 28, each statement independently conveys sufficient information regarding the leap year status of both Lynn and Pete's birthdays. Therefore, this option is not accurate.
D) EACH statement ALONE is sufficient.
Each statement provides enough information on its own. Statement (1) confirms the occurrence of a birthday party four years ago, indicating a leap year, while Statement (2) confirms Pete's age and that he also celebrates his birthday on February 29. This demonstrates that both statements independently lead to the conclusion that today is February 28, making this option correct.
Conclusion
The correct answer is D, as both statements provide sufficient information individually to arrive at the conclusion that today is February 28th. Each statement highlights different aspects of the birthday scenario, confirming that both Lynn and Pete's birthdays are celebrated on leap days, thus validating the date in question.