Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
1) if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question.
2) if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question.
3) if the data either in statement I alone or in statement II alone are sufficient to answer the question,
4) if the data even in both statements I and II together are not sufficient to answer the question.
5) if the data in both statements I and II together are necessary to answer the question.
When is Nilima’s birthday?
I. Sharmila correctly remembers, Nilima’s birthday is after 13th but before 17th.
II. Rahul correctly remembers, Nilima’s birthday is after 15th but before 19th.

Options

A. if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
C. if the data either in statement I alone or in statement Il alone are sufficient to answer the question
D. if the data in both statements I and II together are necessary to answer the question.

Answer

D

Explanation

From statement I:
Nilima.s birthday `overset("on")rarr` 14th, 15th or 16th.
From statement II :
Nilima.s birthday `overset("on")rarr` 16th, 17th or 18th.
From I & II, we get
Nilima.s birthday `overset("on")rarr` 16th (common day)
Therefore, the data in both the statements I & II together are necessary to answer the given question.