The birthday of Akarsh falls on Saturday 29 July of a certain year. In the same year, on which day of the week will the birthday of Ojas fall if he was born on 12 August?

Introduction / Context:
This is a typical calendar reasoning question where two dates in the same year are given. You know the weekday for one birthday and must determine the weekday for the second birthday. Such problems test your ability to count the number of days between two dates and then convert that into a shift in the day of the week.

Given Data / Assumptions:

• Akarsh has a birthday on Saturday 29 July in a certain year.
• Ojas has a birthday on 12 August in the same year.
• The year can be treated as an ordinary year; the exact year is not required because we only compare dates within that one year.
• We must find the weekday of 12 August.

Concept / Approach:
The weekday difference between two dates in the same year depends only on how many days lie between them. Once we compute the number of days from 29 July to 12 August, we obtain the number of odd days by dividing by 7. Adding the odd days to the known weekday on 29 July gives the weekday on 12 August. If the number of days is a multiple of 7, the weekday remains unchanged.

Step-by-Step Solution:
Step 1: Consider 29 July as the starting date, which is a Saturday. Step 2: Days remaining in July after 29 July: 30 July and 31 July, which is 2 days. Step 3: Now count days in August up to 12 August: that is 12 days. Step 4: Total days from 29 July to 12 August = 2 + 12 = 14 days. Step 5: Compute odd days: 14 / 7 gives remainder 0, so there are zero odd days. Step 6: Zero odd days means 12 August falls on the same weekday as 29 July, which is Saturday.

Verification / Alternative check:
If you are unsure, you can list a shorter sequence. From 29 July to 5 August is 7 days, so 5 August is also Saturday. From 5 August to 12 August is another 7 days, so 12 August is again Saturday. This confirms that two full weeks separate the two birthdays, and the weekday therefore remains unchanged.

Why Other Options Are Wrong:
Wednesday: This would imply a three day backward shift from Saturday, which is not supported by the two week gap.
Friday: This would require one odd day backward from Saturday.
Sunday: This would require one odd day forward from Saturday. None of these match the exact two week difference of 14 days.

Common Pitfalls:
A common mistake is to miscount the days between two dates by either excluding or double counting one of the boundary dates. Always be clear whether you are starting the count from the day after the known date or including it as day zero. Another pitfall is forgetting that any multiple of seven days leaves the weekday unchanged.

Final Answer:
Therefore, the birthday of Ojas on 12 August in the same year falls on Saturday.