What was the day of the week on 14^th April 1947 ?

 Monday

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

= \(\frac{14 + 6 + 0 + 47 + 11}{7}\) 

\(\frac{78}{7}\) = 1  remainder

 remainder  code is Monday

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

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