The last Sunday of March, 2006 fell on which date? Statements: The first…
2024
The last Sunday of March, 2006 fell on which date?
Statements:
The first Sunday of that month fell on the 5th.
The last day of that month was Friday.
- A.
The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
- B.
The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
- C.
If the data either in statement I alone or in statement II alone is sufficient to answer the question
- D.
If the data in both the statements I and II together is not sufficient to answer the question
Show answer & explanation
Correct answer: C
In an 'either statement alone is sufficient' data-sufficiency question, each statement must first be tested completely on its own - the correct choice is that either statement alone works only when both statements independently pin down one unique answer. For calendar questions, a single known (date, weekday) pair anywhere in the month is enough to fix the weekday of every other date in that month, because weekdays repeat in a 7-day cycle.
From Statement I alone: the first Sunday falls on the 5th, so the following Sundays are 7 days apart - 5th, 12th, 19th, 26th; since March has only 31 days, the 33rd doesn't exist, so the 26th is the last Sunday. This alone gives a complete answer.
From Statement II alone: March has 31 days and the 31st (the last day) was a Friday. Counting back day by day - 30th Thursday, 29th Wednesday, 28th Tuesday, 27th Monday, 26th Sunday - the last Sunday is again the 26th. This alone also gives a complete answer.
Both independent routes agree on the 26th, confirming that each statement alone is sufficient - so the correct choice is that either statement I alone or statement II alone answers the question.