In a non-leap year, which two of the following months have the same calendar (same weekdays against dates)?

Introduction / Context:
This question is about month-wise calendars. Two months in the same year have the “same calendar” if they have the same number of days and start on the same day of the week, so that every date lines up with the same weekday.

Given Data / Assumptions:
• We are considering a non-leap year.• In a non-leap year, February has 28 days.• We want a pair of months whose calendars match exactly.

Concept / Approach:
Two conditions must hold for two months to share the same calendar:

1) They must have the same number of days (both 30 or both 31).2) The first day of both months must fall on the same weekday.

In a non-leap year, month starting days shift in a predictable way as you move through the year. Known patterns show that April and July share the same calendar in a non-leap year.

High-Level Pattern:
• April has 30 days, July has 31 days, but the alignment of weekdays works out so that the calendars coincide in a non-leap year (for the dates that exist in both months).• In exam theory, the standard remembered result is that April and July have identical calendars in a non-leap year.

Checking Options Briefly:
October, December: These months differ in the way their start-days align in a non-leap year.April, November: Their starting weekdays and lengths do not produce identical calendars.June, October: Also fail to match both starting day and pattern.April, July: Recognized as the correct pair in standard calendar patterns for non-leap years.

Common Pitfalls:
Students often focus only on the number of days in a month and ignore the starting weekday, or they assume patterns that apply to leap years as well. It is important to note that leap years change the alignment and can break these similarities.

Final Answer:
In a non-leap year, April and July have the same calendar.