What was the day of the week on 28th May, 2006?
A.Thursday
B.Friday
C.Saturday
D.Sunday
Answers
D.Sunday
Answer: Sunday
Step-by-step explanation:
28 May 2006 here we have complete years till 2005 and have 2006 year till 28th of may. so we add 2005 as 1600+400+5 years
in 1600years there are 0 odd days as 1600 is divisible by 4 and 400 years also have 0 odd days as it is also divisible by 400.
now in 5 years there are 4 normal years with 365 days and 1 leap year of 366 days. as a normal year have 1 odd day and a leap year have 2 odd days so in 4 normal years 4×1=4odd days and 2 odd days in 1 leap year. now 4+2=6 odd days in 5 years.
now till 28th of may 2006. if we count days so 31(jan)+28(feb)+31(mar)+30(April)+28th of may =148 days. so if we divide 148 by 7 we will get 21 quotient and 1 remainder. here 21 will be weeks in 148 days as 1 week have 7 days and 1 day left that will be an odd day so taotal odd days count till 28th of may 2006=6+1=7odd days. now as 7 daays are there in 1 week so 7-7 =0 odd days left. therefore it will be Sunday. as if 0 odd day come so sunday ,1 so mon ,2 so tue ,3 so wed ,4 so thu ,5 so fri and 6 so sat.
the whole thing is about odd days and days forming a week.