Question

The last Sunday of March 2006 fell on which date?
I) The first Sunday of that month fell on 5th.
II) The last day of month was not Saturday.

• A. Statement I alone is sufficient to answer the question
• B. Statement II alone is sufficient to answer the question.
• C. Statement I and II together are sufficient to answer the question but neither statement alone is sufficient.
• D. Statement I and II together are not sufficient to answer the question and additional data is required.

Hint:

In calendar questions, once you know any one Sunday, you can find all others by adding multiples of 7. This often makes one statement sufficient.

Answer 1

The Correct Option is A

Concept: In calendar problems, Sundays occur at intervals of 7 days. Once the first Sunday is known, all subsequent Sundays can be determined by adding 7 repeatedly.
Step 1: Analyze Statement I alone.
First Sunday is on 5th. So Sundays are: \[ 5,\ 12,\ 19,\ 26 \] March has 31 days, so the last Sunday is 26th.
Statement I alone is sufficient.
Step 2: Analyze Statement II alone.
Given last day is not Saturday, but this does not fix the Sundays or their dates uniquely.
Statement II alone is NOT sufficient.
Step 3: Combine both statements.
Since Statement I alone already gives a unique answer, combining is unnecessary.
Hence, Statement I alone is sufficient.