# Aptitude - Calendar - Discussion

Discussion Forum : Calendar - General Questions (Q.No. 2)
2.
What was the day of the week on 28th May, 2006?
Thursday
Friday
Saturday
Sunday
Explanation:

28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)

Odd days in 1600 years = 0

Odd days in 400 years = 0

5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) 6 odd days

```Jan.  Feb.   March    April    May
(31 +  28  +  31   +   30   +   28 ) = 148 days
```

148 days = (21 weeks + 1 day) 1 odd day.

Total number of odd days = (0 + 0 + 6 + 1) = 7 0 odd day.

Given day is Sunday.

Discussion:
212 comments Page 1 of 22.

Manjunath said:   3 months ago
A year in is divisible by 4 and for century years it should be divisible by 400, not 100 then it is said to be a leap year.

For example, 100 is not a leap year even though it is divisible by 4 but as it is a century year it should be divisible by 400.

* Odd days need to be divided the number of days by week -for the normal year 365 days (365/7) reminder — 1 is odd days.
* Similarly for leap years -366 days (366/7) reminder- 2 is odd days.

For 100 years (76 normal years (1 odd day)+ 24 leap years (2 odd days).
76x1 + 24x2= 124 days.
124 days/7 days = 5 odd days.
(2)

Nozahmo said:   6 months ago
According to me, the solution is;

1). Take the last 2 digits of the year
2). Divide these last 2 digits by 4 and consider the quotient.
3). Take the date of the question for which day is to be calculated
4). The month code of May is 1.
[ Similarly as per trick code for various months is : J-0,F-3,M-3,A-6,M-1,J-2,J-6,A-1,S-5,O-0,N-3,D-5]
5). Now take the year code as 2006 falls between the years 2000-2099 and its code is 6.
Similarly, for various years range code is:
1600-1699: 6
1700-1799: 4
1800-1899: 2
1900-1999: 0
2000-2099: 6.

Now add the sum of all these values and divide by 7. As we have to calculate day.
Consider the reminder. ie, 06 + 0 + 28 + 1 + 6 means add 06 + 01 + 28 + 01 + 06 = 41.
42/7 = 0 (reminder).

Days code is :
S-0,
M-1,
T-2,
W-3,
T-4,
F-5,
S-6.
(12)

Alla said:   11 months ago
From the remaining five years, what criteria did you use to say there 4 ordinary years and 1 leap year?

(6)

Yamini matiyali said:   1 year ago
28may2006.
2005
[2000] and[5]
[0] leap year [1]leap year+[4] normal year.
[1*2+4*1] + [3+0+3+2+28].
=42.
42/7.
0 remainder
Sunday Ans.
(18)

PRITHVI said:   1 year ago
28TH MAY 2006.
=>1600+400+5 YEARS+[JAN TO APRIL]+28 DAYS [IN GIVEN QUESTION]
=>0+0+[1 LEAP YEAR+ 4 ORDINARY YEAR]+[3+0+2+3]+28.
=>0+[1*2+4*1]+8+28,
=>6+8+28,
=>42 WHICH IS DIVIDED BY 7.
THEN 6 WEEKS + 0 ODD DAYS.

0 = SUNDAY.
(16)

Komal bhat said:   1 year ago
Day = date +month code +century code + year + leap year Ã· 7.
Day = 28+2+6+6+1Ã·7 = 1.
And 1 = Sunday.
(16)

Rupesh said:   1 year ago
Why not consider 2004 is the leap year why are you starting with the 2000 leap year?
(9)

Ambika said:   2 years ago
Day codes:

0 Sunday.
1 Monday.
2 Tuesday.
3 Wednesday.
4 Thursday.
5 Friday.
6 Saturday.

Month codes:

0 3 3 6 1 4 6 2 5 0 3 5
J F M A M J J A S O N D.

Day codes:
0 1 2 3 4 5 6
S M T W T F S

28 may 2006.

6Ã·4 =1 with two remainder.

34 + 1 = 35,
35/7=0 remainder.

0 = Sunday.
(37)

Rutuja said:   3 years ago
As per the video that I saw on you tube regarding calendar. From freshers world channel. As per the concept/tricks.

1). Take last 2 digits of year
2). Divide this last 2 digits by 4 and consider the quotient.
3). Take the date of the question for which day is to be calculated
4). Month code of may is 1
[ Similarly as per trick code for various months is : J-0,F-3,M-3,A-6,M-1,J-2,J-6,A-1,S-5,O-0,N-3,D-5]
5). Now take year code as 2006 falls between the year 2000-2099 it's code is 6.
[Similarly for various years range code is:
1600-1699 : 6
1700-1799 : 4
1800-1899 : 2
1900-1999 : 0
2000-2099 : 6]

Now add sum of all these values and divide by 7. As we have to calculate day. Consider the reminder. ie, 06 + 0 + 28 + 1 + 6 means add 06 + 00 + 28 + 01 + 06 = 41.

41/7 = 6 (reminder).

Days code is : S-0,M-1,T-2,W-3,T-4,F-5,S-6
The answer is 6 th day of the week is Saturday. On 28 th May 2006 it was Saturday. Not Sunday.
(28)

Mohit Kumar said:   3 years ago
According to me, the simplest way of solution is;

Months - 1440, 2305, 6146

Here, 1 = January, 4 = February, 4 = March, 0= April, May = 2, June = 3, July = 0, August = 5, September = 6, October = 1, November = 4, December = 6.

Learn this table along with the nos of their respective months.

Now come to days, For Days Remember:
1 - Sunday.
2- Monday.
3- Tuesday.
4- Wednesday.
5 - Thursday.
6- Friday .
0 or no remainder = Saturday.

Now come to century part

Remember the small table and understand the concept as to how we can calculate the no that needs to be assigned to a Century.

The No for 2000 Century must be 6, If we go before we need to again Start the chains or simply started from 6 till you reach 6 no.

For Calculating no, after 2000 century like 2100, 2200 just Substract by 2 until you reach 0

Let's see the below example, to go back century just set the 0,2,4, 6 in increasing order and to go after 2000 century just reduce the no by 2.

In below example 2000 is our base.

1600 - 6
1700 - 4
1800- 2
1900 - 0
2000 - 6
2001 - 4
2002 - 2
2003 - 0

And so on

Now come to the question, it Will hardly take 5 to 10 seconds to solve this qsn now, Just learn the above 3 tables

The question is 28 May 2006

Here write in the following manner

28 - Date.
2 - Month(See no assigned in table),
06 - Year(write last 2 digits of year),
6 - Century(2000),
1 - (Divide last 2 digits by 4).

Add on these nos - 43.

Now Divide 43 by 7 and the remainder would be = 1.

Now see the day's table, where 1 = Sunday.