Nitin correctly remembers that the birthday of Nidhi is after Tuesday but before Friday. Dheeraj correctly remembers that the birthday of Nidhi is after Wednesday but before Saturday. On which day of the week does the birthday of Nidhi definitely fall?

Introduction / Context:
This is a day of the week reasoning question where two people give partial but correct information about an event. You need to combine their statements to find the exact day. Such questions are standard in verbal reasoning sections and test your ability to work with ranges and intersections on the days of the week.

Given Data / Assumptions:

• Nitin remembers that Nidhi has her birthday after Tuesday but before Friday.
• Dheeraj remembers that Nidhi has her birthday after Wednesday but before Saturday.
• We assume both Nitin and Dheeraj are correct in their statements.
• The days of the week in order are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.

Concept / Approach:
The approach is to interpret each person’s memory as a range of possible days and then find the common day or intersection of these ranges. When someone says “after a given day but before another day”, it excludes the boundary days and includes only the days strictly between them. Once the individual sets of possible days are written, their overlap reveals the single day that satisfies both people simultaneously.

Step-by-Step Solution:
Translate Nitin’s statement “after Tuesday but before Friday”. The days strictly between Tuesday and Friday are Wednesday and Thursday. Thus, according to Nitin, the birthday could be on either Wednesday or Thursday. Translate Dheeraj’s statement “after Wednesday but before Saturday”. The days strictly between Wednesday and Saturday are Thursday and Friday. Thus, according to Dheeraj, the birthday could be on either Thursday or Friday. Now find the intersection of the two sets: Nitin allows {Wednesday, Thursday}; Dheeraj allows {Thursday, Friday}. The only day common to both sets is Thursday. Therefore, Nidhi’s birthday must definitely fall on Thursday.

Verification / Alternative check:
To verify, check each day from Monday to Saturday. Wednesday satisfies Nitin’s condition (after Tuesday and before Friday) but fails Dheeraj’s condition because Wednesday is not after Wednesday. Friday satisfies Dheeraj’s condition (after Wednesday and before Saturday) but fails Nitin’s condition because Friday is not before Friday. Thursday is after Tuesday and before Friday, and it is also after Wednesday and before Saturday. No other day meets both constraints. Hence Thursday is uniquely correct.

Why Other Options Are Wrong:
Monday and Tuesday are too early and do not satisfy the “after Tuesday” or “after Wednesday” parts. Wednesday satisfies Nitin but not Dheeraj. Friday satisfies Dheeraj but not Nitin. Saturday is outside both “before Friday” and “before Saturday” conditions. Only Thursday fits both people’s memories at the same time.

Common Pitfalls:
A common error is to treat “after Tuesday” as “Tuesday or later” or “before Friday” as “on or before Friday”, which mistakenly includes boundary days. Another pitfall is to pick any day that appears in either person’s range without checking the intersection. Always remember that both statements are correct together, so the final day must satisfy both conditions simultaneously.

Final Answer:
The birthday of Nidhi definitely falls on Thursday.