Aarav celebrates his birthday on Sunday, 12 March in a particular non leap year. In the same calendar year, Madhup was born on 10 August. On which day of the week will Madhup birthday fall in that year?

Introduction / Context:
Calendar and day of the week questions often appear in competitive exams. Here we are given one exact date and day for Aarav birthday and asked to find the day for another date in the same year, namely Madhup birthday. This tests your skill at counting days across months and understanding how complete weeks and extra days shift the weekday forward.

Given Data / Assumptions:
- Aarav birthday is on Sunday, 12 March of a non leap year. - Madhup birthday is on 10 August of the same year. - We assume the standard Gregorian calendar. - We need the weekday on 10 August of that same year. - Number of days in each month from March to August is used.

Concept / Approach:
To find the weekday on another date in the same year, count how many days lie between the two dates and then see how many days remain after dividing by 7. Every full group of 7 days returns you to the same weekday. Only the remainder modulo 7 matters. We move from 12 March to 10 August, summing days in partial and full months, and then shift the weekday step by step using this remainder.

Step-by-Step Solution:
Step 1: Remaining days in March after 12 March in a 31 day month: 31 - 12 = 19 days. Step 2: Days in April = 30 days. Step 3: Days in May = 31 days. Step 4: Days in June = 30 days. Step 5: Days in July = 31 days. Step 6: Days in August up to 10 August inclusive from 1 August = 10 days. Step 7: Total days from 13 March to 10 August = 19 + 30 + 31 + 30 + 31 + 10 = 151 days. Step 8: 151 divided by 7 gives 21 weeks and remainder 4, since 7 * 21 = 147 and 151 - 147 = 4. Step 9: A remainder of 4 means the weekday moves 4 days forward from Sunday. Step 10: Counting forward: Sunday to Monday (1), Tuesday (2), Wednesday (3), Thursday (4). Step 11: Therefore, 10 August falls on Thursday.

Verification / Alternative check:
Instead of counting from the 13 March, you can count inclusively or exclusively as long as you remain consistent. The critical point is that the net difference in days is 151, and 151 mod 7 equals 4. Any correct method of segmenting the months will lead to the same remainder and thus the same weekday. This confirms that Thursday is correct for 10 August in that year when 12 March is a Sunday.

Why Other Options Are Wrong:
- Wednesday or Friday would correspond to a remainder of 3 or 5 when dividing the day difference by 7. - Saturday and Monday would need different remainders as well and do not match the calculated shift of 4 days.

Common Pitfalls:
Students often miscount the remaining days in March or mix up inclusive and exclusive counting. Another common mistake is forgetting that April, June, September, and November have 30 days, while January, March, May, July, August, October, and December have 31. Always double check month lengths before summing, and then use the remainder when divided by 7, not the raw day difference.

Final Answer:
Madhup birthday in that year will fall on Thursday.