In a given year, Holi is celebrated on 6 March at 9:00 AM and Diwali is celebrated on 11 November at 8:00 PM. What is the total time interval between these two events, in hours?

Introduction / Context:This is a detailed calendar and time-interval question, combining date differences with hour-level precision. You are asked to find the total number of hours between two events in the same year: Holi and Diwali, given specific dates and times.

Given Data / Assumptions:

• Holi: 6 March at 9:00 AM.
• Diwali: 11 November at 8:00 PM.
• Both festivals occur in the same (non-leap) year.
• We must find the total time interval in hours.

Concept / Approach:We break the problem into two parts:

• First, find the number of full days between 6 March and 11 November.
• Second, adjust for the difference in time on the start and end days (from 9:00 AM to 8:00 PM).

Once the total number of days and the additional hours are found, we convert everything into hours.

Step-by-Step Solution:Step 1: Assume a non-leap year. The months from March to October have the following days: March 31, April 30, May 31, June 30, July 31, August 31, September 30, October 31, November 30.Step 2: From 6 March 9:00 AM to the end of 6 March 9:00 AM next day is 24 hours, but we will count days from calendar dates first and handle times afterward.Step 3: Compute days from 6 March to 11 November. From 7 March to 31 March there are 25 days. Then add full months: April (30), May (31), June (30), July (31), August (31), September (30), October (31).Step 4: Up to 31 October, total days after 6 March = 25 + 30 + 31 + 30 + 31 + 31 + 30 + 31 = 239 days.Step 5: From 1 November to 11 November is 11 days. So the total from 6 March to 11 November (date-to-date) is 239 + 11 = 250 days.Step 6: Now account for the time difference on these dates: From 9:00 AM on 6 March to 9:00 AM on 11 November is 250 full days. From 9:00 AM to 8:00 PM on 11 November adds 11 extra hours.Step 7: Convert 250 days into hours: 250 * 24 = 6000 hours.Step 8: Add the extra 11 hours: 6000 + 11 = 6011 hours.

Verification / Alternative check:Another way to check is to carefully sum month-by-month from 6 March to 11 November ensuring no month is missed and then independently confirm that 250 days * 24 + 11 hours = 6011 hours. Because the difference in time of day is less than 24 hours, it is safe to treat the 250 days as an integer and then adjust by +11 hours.

Why Other Options Are Wrong:2101, 4125 or 5124 hours are far too small and correspond to much shorter intervals than eight months. 5890 hours is close but still undercounts the true interval, indicating a missed month or incorrect day count. Only 6011 hours matches the exact calculation based on 250 days plus 11 additional hours.

Common Pitfalls:

• Forgetting to include all intermediate months or miscounting the days from March to November.
• Ignoring the time-of-day difference and calculating only whole days.
• Miscomputing the total number of days or incorrectly multiplying by 24 when converting to hours.

Final Answer:The total time interval between Holi and Diwali is 6011 hours.