Question

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option:

When is Prateek's birthday this year ?
I. It is in the week of September from 13${}^{th}$ which is a Sunday to 16${}^{th}$ of the same month.
II. The birthday does not occur on days of the week starting from either S or T.

• A. If 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. If 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 are sufficient to answer the question
• D. If the data given in both statements I and II together are not sufficient to answer the question
• E. If the data in both statements I and II together are necessary to answer the question

Answer 1

The correct option is D

If the data given in both statements I and II together are not sufficient to answer the question

From I, we can conclude that Prateek's birthday can be on one of the days from 13${}^{th}$ to 16${}^{th}$ (both included).
From II, we can conclude that it is on a Monday or a Wednesday or a Friday.
Combining the two statements, we get that his birthday is on either 14${}^{th}$ (Monday) or 16${}^{th}$ (Wednesday).