CSAT 2022

Q. Which date of June 2099 among the following is Sunday?

a. 4
b. 5
c. 6
d. 7
Correct Answer: d. 7

Question from UPSC Prelims 2022 CSAT Paper

Explanation : 

June 2099 – Sunday

Prelims 2022 – 5-JUN-2022 Sunday.

First, calculate the number of years between 2022 and 2099, which is 2099 – 2022 = 77 years.

Determining Number of Leap Years

Next, determine the number of leap years in this period. Leap years are typically every 4 years, but we must exclude centuries that are not divisible by 400. The years from 2022 to 2099 include the following leap years: 2024, 2028, 2032, 2036, 2040, 2044, 2048, 2052, 2056, 2060, 2064, 2068, 2072, 2076, 2080, 2084, 2088, 2092, 2096. That’s a total of 19 leap years.

Calculating Total Number of Odd Days

Each normal year contributes 1 odd day (365 days = 52 weeks + 1 day), and each leap year contributes 2 odd days (366 days = 52 weeks + 2 days).

So, the total number of odd days in 77 years is:

  • Odd days from normal years = 58 normal years × 1 odd day = 58 odd days
  • Odd days from leap years = 19 leap years × 2 odd days = 38 odd days
  • Total odd days = 58 + 38 = 96 odd days

Determining the Day of the Week

Since each week has 7 days, we find the remainder of 96 divided by 7 to get the number of odd days:

96 mod 7 = 5 odd days

Since June 5, 2022, was a Sunday, adding 5 odd days means:

Sunday + 5 days = Friday

Thus, June 5, 2099, will be a Friday.

More Questions:
UPSC Factory
Conquer UPSC offline! 🚀 PYQs (Prelims & Mains), test series, syllabus tracker. Give it a try, you will love it 💯
UPSC Factory for Windows
Master UPSC offline! 📚🎯 4000+ Prelims PYQs, Mains model answers, NCERT books, Syllabus tracker, topper notes, past papers. Give it a try, you will love it !!💯
UPSC Factory App
Conquer UPSC offline! 🚀 PYQs (Prelims & Mains), test series, syllabus tracker. Focus intensely without distractions.💯