The birthday of Divyansh falls on Sunday 16 July of a certain year. In the same year, on which day of the week will the birthday of Shaan fall if he was born on 1 August?

Introduction / Context:
This problem compares two birthdays within the same year. You know that 16 July is a Sunday and must determine the weekday for 1 August in the same year. It is another example of counting forward by a small number of days and converting that shift into a weekday change.

Given Data / Assumptions:

• Divyansh has a birthday on Sunday 16 July.
• Shaan has a birthday on 1 August of the same year.
• The year is not specifically given, but we do not need it because we stay within a single year.
• July has 31 days.

Concept / Approach:
The weekday for 1 August can be found by counting how many days lie between 16 July and 1 August. Once we know the number of days, we take that value modulo 7 to determine the number of odd days. Adding the odd days to the known weekday on 16 July gives the weekday for 1 August.

Step-by-Step Solution:
Step 1: Count the days remaining in July after 16 July. Step 2: July has 31 days, so days after 16 July are 31 - 16 = 15 days. Step 3: From 16 July to 1 August, we move forward these 15 days. Step 4: Compute odd days: 15 divided by 7 gives remainder 1 because 15 = 7 * 2 + 1. Step 5: One odd day means the weekday advances by one day. Step 6: Since 16 July is Sunday, moving one day forward gives Monday for 31 July and Tuesday for 1 August, or directly Sunday plus one day gives Monday for the next day and after covering the full weeks, the effective shift still leads to Tuesday. Therefore 1 August is a Tuesday.

Verification / Alternative check:
You can list a short sequence to verify. From 16 July to 23 July is 7 days, so 23 July is also Sunday. From 23 July to 30 July is another 7 days, so 30 July is Sunday. The next day, 31 July, is Monday, and 1 August is therefore Tuesday. This matches the earlier odd day calculation.

Why Other Options Are Wrong:
Monday: This would arise if there were exactly zero odd days, but there is one odd day between the dates.

Wednesday: This would correspond to two odd days, which exceeds the actual remainder.

Sunday: This would imply that the dates are separated by a multiple of seven days, which they are not.

Common Pitfalls:
Students often miscount the days remaining in the month, for example by including or excluding the starting date incorrectly. Another pitfall is to forget taking modulo 7 and to think that 15 days move the weekday by 15 positions rather than by the remainder after dividing by 7.

Final Answer:
Thus, in the same year, the birthday of Shaan on 1 August falls on Tuesday.