Aayush celebrates his birthday on Monday 22 May in a certain year. In the same year Neerav celebrates his birthday on 30 October. On which day of the week does Neerav's birthday fall?

Introduction / Context:
This problem requires finding the weekday of a future date in the same year when the weekday of an earlier date is known. Questions of this type sharpen skills in systematic day counting and reveal how the seven day cycle repeats. They are common in calendar sections of aptitude exams and help build intuition for date arithmetic.

Given Data / Assumptions:

• Aayush has his birthday on Monday 22 May in some year.
• Neerav has his birthday on 30 October in the same year.
• We need to determine the weekday for 30 October.
• The exact year type does not influence the difference here because both dates occur after February.

Concept / Approach:
As usual, we find the total number of days between the two dates and then calculate the number of odd days by dividing this count by 7. An odd day is the remainder left after dividing by 7. Full weeks contribute no change to the weekday. Only the remainder tells us how many steps forward we must move from the given weekday, Monday in this case, to reach the required weekday.

Step-by-Step Solution:
Step 1: Determine remaining days in May after 22 May. May has 31 days, so remaining days are 31 - 22 = 9.Step 2: Add full days in the months from June to September. June has 30 days, July has 31, August has 31 and September has 30, giving 30 + 31 + 31 + 30 = 122 days.Step 3: Add days in October up to 30 October, which provides 30 days.Step 4: Total days between 22 May and 30 October equal 9 + 122 + 30 = 161 days.Step 5: Compute 161 modulo 7. Since 7 * 23 = 161 exactly, the remainder is 0. This means there are no odd days between the two dates and the weekday remains the same. Therefore Neerav's birthday also falls on Monday.
Verification / Alternative check:
We can verify by interpreting 161 as 23 full weeks. Every set of 7 days brings the calendar back to the same day of the week. Therefore, after 23 weeks, which is 23 multiples of 7, the weekday for the target date must coincide with that of the starting date. This alternative viewpoint fits perfectly with the modulo 7 calculation.

Why Other Options Are Wrong:
Wednesday would imply a shift of two days from Monday, which cannot happen when the number of odd days is zero.Friday would represent a shift of four days from Monday, again inconsistent with a zero remainder.Thursday would mean a three day shift from Monday, but the calculation shows no shift at all.
Common Pitfalls:
Many candidates expect the weekday to change whenever months change and overlook the possibility that the total difference in days might be a multiple of 7. Others sometimes miscompute the remaining days in May or miscount one of the month lengths. Being careful with month day counts and remembering that whole weeks do not affect the weekday are key to avoiding errors here.

Final Answer:
Neerav's birthday on 30 October falls on Monday.