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If instead of every fourth year, every third year is a leap year, then what day will it be on the 1st January 2020, if year 2013 is a leap year and 1st January 2013 is a Friday? (a) Monday (c) Wednesday (b) Tuesday (d) Thursday?
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If instead of every fourth year, every third year is a leap year, then...
Solution:
Finding the number of days from 2013 to 2020
- As 2013 is a leap year, the number of days in 2013 = 366
- The number of days in the common years from 2014 to 2019 = 6 × 365 = 2190
- The number of days from 1st January 2020 to 31st December 2020 = 365 − 31 = 334
- The total number of days from 1st January 2013 to 31st December 2020 = 366 + 2190 + 334 = 2890
Finding the number of leap years from 2013 to 2020
- In 2016, 2019, and 2020, the years are leap years
- The number of leap years from 2013 to 2020 = 3
Calculating the odd days
- Every third year is a leap year, so there will be 7 leap years in 21 years
- The number of odd days in 21 years = 7 × 2 = 14 (as 14 days make 2 weeks)
- The number of odd days in 1 year = 14 ÷ 7 = 2
- The number of odd days from 2013 to 2020 = (7 × 2) + 3 = 17
Deducing the day on 1st January 2020
- As 1st January 2013 is a Friday, we need to find the day after 2890 days, which is equivalent to 17 odd days
- 17 odd days ≡ 3 odd days (as 14 odd days make 2 weeks and 3 odd days remain)
- Hence, the day on 1st January 2020 = (Friday + 3 days) = Monday
Therefore, the answer is (a) Monday.
Finding the number of days from 2013 to 2020
- As 2013 is a leap year, the number of days in 2013 = 366
- The number of days in the common years from 2014 to 2019 = 6 × 365 = 2190
- The number of days from 1st January 2020 to 31st December 2020 = 365 − 31 = 334
- The total number of days from 1st January 2013 to 31st December 2020 = 366 + 2190 + 334 = 2890
Finding the number of leap years from 2013 to 2020
- In 2016, 2019, and 2020, the years are leap years
- The number of leap years from 2013 to 2020 = 3
Calculating the odd days
- Every third year is a leap year, so there will be 7 leap years in 21 years
- The number of odd days in 21 years = 7 × 2 = 14 (as 14 days make 2 weeks)
- The number of odd days in 1 year = 14 ÷ 7 = 2
- The number of odd days from 2013 to 2020 = (7 × 2) + 3 = 17
Deducing the day on 1st January 2020
- As 1st January 2013 is a Friday, we need to find the day after 2890 days, which is equivalent to 17 odd days
- 17 odd days ≡ 3 odd days (as 14 odd days make 2 weeks and 3 odd days remain)
- Hence, the day on 1st January 2020 = (Friday + 3 days) = Monday
Therefore, the answer is (a) Monday.
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If instead of every fourth year, every third year is a leap year, then what day will it be on the 1st January 2020, if year 2013 is a leap year and 1st January 2013 is a Friday? (a) Monday (c) Wednesday (b) Tuesday (d) Thursday?
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If instead of every fourth year, every third year is a leap year, then what day will it be on the 1st January 2020, if year 2013 is a leap year and 1st January 2013 is a Friday? (a) Monday (c) Wednesday (b) Tuesday (d) Thursday? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about If instead of every fourth year, every third year is a leap year, then what day will it be on the 1st January 2020, if year 2013 is a leap year and 1st January 2013 is a Friday? (a) Monday (c) Wednesday (b) Tuesday (d) Thursday? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If instead of every fourth year, every third year is a leap year, then what day will it be on the 1st January 2020, if year 2013 is a leap year and 1st January 2013 is a Friday? (a) Monday (c) Wednesday (b) Tuesday (d) Thursday?.
If instead of every fourth year, every third year is a leap year, then what day will it be on the 1st January 2020, if year 2013 is a leap year and 1st January 2013 is a Friday? (a) Monday (c) Wednesday (b) Tuesday (d) Thursday? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about If instead of every fourth year, every third year is a leap year, then what day will it be on the 1st January 2020, if year 2013 is a leap year and 1st January 2013 is a Friday? (a) Monday (c) Wednesday (b) Tuesday (d) Thursday? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If instead of every fourth year, every third year is a leap year, then what day will it be on the 1st January 2020, if year 2013 is a leap year and 1st January 2013 is a Friday? (a) Monday (c) Wednesday (b) Tuesday (d) Thursday?.
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