Difficulty: Medium
Correct Answer: 6011 hours
Explanation:
Introduction / Context:
Time-interval questions between two dates and times combine calendar knowledge with hour calculations. Here, both festivals occur in the same year: Holi on 6 March at 9:00 AM and Deepawali on 11 November at 8:00 PM. We must find the total interval between them in hours, assuming a common (non-leap) year.
Given Data / Assumptions:
Concept / Approach:
A clean method is to compute the difference in days between the two dates at the same time of day (9:00 AM), then adjust for the extra time from 9:00 AM to 8:00 PM on 11 November. Once we have the total number of days and extra hours, we convert everything to hours and sum up.
Step-by-Step Solution:
Step 1: Count days from 6 March to 11 November, same time (9:00 AM). Ordinal day of 6 March in a common year = 65 (assuming 31 days in January and 28 in February). Ordinal day of 11 November = 315. Difference in days = 315 - 65 = 250 days. Step 2: Convert these 250 days to hours. Each day has 24 hours, so hours = 250 * 24 = 6000 hours. Step 3: Adjust for the time difference on 11 November. We moved from 6 March 9:00 AM to 11 November 9:00 AM in 250 days. From 11 November 9:00 AM to 11 November 8:00 PM is an additional 11 hours. Step 4: Add these hours. Total time interval = 6000 + 11 = 6011 hours.
Verification / Alternative check:
Instead of using ordinal days, you can break the period into segments: from 6 March to 31 March (25 days), then full months April to October, and finally the first 11 days of November. Summing these gives 25 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 11 = 250 days, agreeing with the ordinal calculation. Converting 250 days to 6000 hours and adding the extra 11 hours again gives 6011 hours, confirming the result.
Why Other Options Are Wrong:
2101, 4125, and 5124 hours correspond to significantly shorter intervals than the period from early March to mid-November. These values would imply much fewer days than actually lie between 6 March and 11 November, so they are not consistent with the calendar.
Common Pitfalls:
Typical mistakes include miscounting the days in one or more months, forgetting that February has only 28 days in a non-leap year, or neglecting the extra 11 hours from 9:00 AM to 8:00 PM on the final day. Another pitfall is mixing up inclusive and exclusive counting of days; using date differences or ordinal-day approaches helps keep the calculation precise.
Final Answer:
The time interval between Holi and Deepawali is 6011 hours.
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