Practicing Success
If on 1 January 2020 was Wednesday, then what will be the day on 28 February 2021 ? |
Sunday Wednesday Saturday Tuesday |
Sunday |
\(\frac{Date + Month\;code + Century\;code + Century\;upper\;year + Quotient\;of\;\frac{upper\;year}{4}}{7}\) \(\frac{1 + 0 + 6 + 20 + 5}{7}\) = \(\frac{32}{7}\) = Remainder 4 In case of Leap Year the code for January and February is reduced by 1 so, remainder is 3 The day for Code 3 is Wednesday. So, it is the same day which is given therefore, The day for 28th february 2021 was : \(\frac{Date + Month\;code + Century\;code + Century\;upper\;year + Quotient\;of\;\frac{upper\;year}{4}}{7}\) \(\frac{28 + 3 + 6 + 21 + 5}{7}\) = \(\frac{63}{7}\) = Remainder 0 The day for Code 0 is Sunday.
Note: Code for Mon – 1 Tues – 2 Wed – 3 Thurs – 4 Fri – 5 Sat – 6 Sun – 0 Code for Jan – 0 Apr – 6 July – 6 Oct – 0 Feb – 3 May – 1 Aug – 2 Nov – 3 Mar – 3 June – 4 Sep – 5 Dec – 5 Code for 1900 is 0 2000 is 6 2100 is 4 2200 is 2 2300 is 0 2400 is 6 2500 is 4 and Likewise |