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.
On which day of the week does Arti's birthday fall ?
I. Sonu correctly remembers that Arti's birthday falls after Wednesday but before Sunday.
II. Raj correctly remembers that Arti's birthday falls before Friday but after Tuesday.

Options

A. (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
B. (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
C. (3) if the data either in statement I alone or in statement Il alone are sufficient to answer the question
D. (4) if the data in both statements I and II together are necessary to answer the question.

Answer

D

Explanation

From statement I:
Arti.s birthday `overset("falls on")rarr` Thursday or Friday or
Saturday. (i)
From statement II :
Arti.s birthday `overset("falls on")rarr` Saturday or Sunday or
Monday... (ii)
From (i) & (ii), we get
Common day `to` Saturday.
So, Arti.s birthday `overset("falls on")rarr` Saturday.
Therefore, data in both statements I and II together are necessary to answer the given question.