Question:
If January 1, 2012 was a Sunday, on what day of the week did January 1, 2024 fall?
यदि 1 जनवरी 2012 को रविवार था, तो 1 जनवरी 2024 को सप्ताह का कौन सा दिन था?
Options:
- Monday
- Sunday
- Tuesday
- Saturday
- सोमवार
- रविवार
- मंगलवार
- शनिवार
Correct Answer: a)
Explanation:
Number of years between Jan 1, 2012 and Jan 1, 2024 = 12 years.
Leap years in this interval that add an extra day (Feb 29 counted):
– 2012 (includes Feb 29, 2012): Leap
– 2016: Leap
– 2020: Leap
(Note: 2024 is a leap year, but Jan 1, 2024 has not yet passed Feb 29, so 2024 does not add an extra day in this interval).
Total leap years counted = 3 (2012, 2016, 2020).
Ordinary years = \(12 – 3 = 9\).
Total odd days = \(3 \times 2 + 9 \times 1 = 6 + 9 = 15\) days.
\(15 \pmod 7 = 1\) odd day.
Sunday + 1 day = Monday.
Leap years in this interval that add an extra day (Feb 29 counted):
– 2012 (includes Feb 29, 2012): Leap
– 2016: Leap
– 2020: Leap
(Note: 2024 is a leap year, but Jan 1, 2024 has not yet passed Feb 29, so 2024 does not add an extra day in this interval).
Total leap years counted = 3 (2012, 2016, 2020).
Ordinary years = \(12 – 3 = 9\).
Total odd days = \(3 \times 2 + 9 \times 1 = 6 + 9 = 15\) days.
\(15 \pmod 7 = 1\) odd day.
Sunday + 1 day = Monday.
1 जनवरी 2012 से 1 जनवरी 2024 तक कुल 12 वर्ष हैं।
इस अवधि में 3 अधिवर्ष (लीप वर्ष: 2012, 2016, 2020) आते हैं (2024 की 29 फरवरी अभी नहीं आई है)।
सामान्य वर्ष = \(12 – 3 = 9\)
कुल विषम दिन = \(3 \times 2 + 9 \times 1 = 15\) दिन।
\(15 \div 7\) पर शेषफल = 1 दिन।
रविवार + 1 = सोमवार।
इस अवधि में 3 अधिवर्ष (लीप वर्ष: 2012, 2016, 2020) आते हैं (2024 की 29 फरवरी अभी नहीं आई है)।
सामान्य वर्ष = \(12 – 3 = 9\)
कुल विषम दिन = \(3 \times 2 + 9 \times 1 = 15\) दिन।
\(15 \div 7\) पर शेषफल = 1 दिन।
रविवार + 1 = सोमवार।