If on 5^th January 2005 , was Wednesday , then what day will be on 17 June 2026?

Wednesday

The day for 5^th January 2005 is:

\(\frac{Date + Month\;code + Century\;code + Century\;upper\;year + Quotient\;of\;\frac{upper\;year}{4}}{7}\) 

\(\frac{5 + 0 + 6 + 5 + 1}{7}\) = \(\frac{17}{7}\) = Remainder 3 Wednesday

Therefore, the day on17 June 2026 will be:

\(\frac{Date + Month\;code + Century\;code + Century\;upper\;year + Quotient\;of\;\frac{upper\;year}{4}}{7}\) 

\(\frac{17 + 4 + 6 + 26 + 6 }{7}\) = \(\frac{59}{7}\) = Remainder 3

The day for Code 3 is Wednesday

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