Aptitude - Calendar - Discussion

I solved this problem this way.

step 1 : 28 may 2006: take date and year's last two digit number.

28+06 = 34.

step 2: year is divided by 4 so 06/4=1(leave the remainder).
step 3: Codes.

Jan : 0
Feb : 3
Mar : 3
aprl: 6
May : 1
Jun : 2
July; 6
aug : 2
Sep : 5
oct : 0
Nov : 3
Dec : 5

Now add step 1,step 2,step 3 ie,. 34+1+1=36.

divide it by seven 7, so remainder is 0.

Then,

0 = sunday.
1 = monday.
2 = tuesday.
3 = wednesday.
4 = thursday.
5 = friday.
6 = saturday.

Odd days means when you divide by 7 to get the no of weeks the remainder left is known to be odd days.

I will give you one example:

--------------------------
First of all you have to learn imp things...ie;

Step 1:
Odd days in 100 years is 5
Odd days in 200 years is 3
Odd days in 300 years is 1
Odd days in 400 years is 0

---------------------------

Ok.

Step 2:

1 for Mon , 2 for Tue ..... 7 for sunday.

Step 3:

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
31 28 31 30 31 30 31 31 30 31 30 31

Step 4:

Example is

Find a day ?

From "28 May 2006"

2005 years + (01-01-2006 to 28-05-06)

CONVERT 2005 as

2005 is same as 1600+400+5

Odd days in 1600 years is 0
Odd days in 400 years is 0

Calculate 5years?

5years = (5/4)leap year + (5- (5/4)) ordinary day
= 1 leap year + 4 ordinary days
= (1*2) ordinary days + 4 ordinary days
= 6 odd days.

Next Step:

Jan+Feb+Mar+Apr+May=31+28+31+30+28=148 odd days.

Convert 148 as (weeks+days)format.

How?

148/7 = (21 weeks)+(1 odd day)
= 1 odd day.

Final Step:

1600+400+5+months+day = 0+0+6+1 = 7.

So DAY is SUNDAY.

How did 1600 and 400 come please explain me?

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

I don't get this step could anyone help me?

Can someone please explain 'mathematically' the solution for this problem and not by codes. Thanks in advance.

Kindly can anyone of you share me why is odd day 1600 and 400 is taking in this problem please. I would be very grateful for your response :).

@Dechen.

Simply we need to come till 2006 so,

Means 1600+400 = 2000.

Then remaining 2001, 2002, ....2006.

@Dechen.

Hi.

28th may 2006.

So we need to calculate form.

1 jan 0001st year to 28th may 2006th year.

First 1600th yr dont have odd days rite means 1600/4 = 0 odd day.
400/4 = 0 odd day.

So we reach 1st jan 2000th year ok. Now 2001, 2002,.... 2006 28th may.

I can't understand this problem. Please explain in simple. What is the odd no?