Aptitude - Calendar - Discussion

Discussion Forum : Calendar - General Questions (Q.No. 3)
3.
What was the day of the week on 17th June, 1998?
Monday
Tuesday
Wednesday
Thursday
Answer: Option
Explanation:

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)

Odd days in 1600 years = 0

Odd days in 300 years = (5 x 3) 1

97 years has 24 leap years + 73 ordinary years.

Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.

Jan.  Feb.   March    April    May      June 
(31 +  28  +  31   +   30   +   31   +   17) = 168 days

168 days = 24 weeks = 0 odd day.

Total number of odd days = (0 + 1 + 2 + 0) = 3.

Given day is Wednesday.

Discussion:
165 comments Page 7 of 17.

Harish said:   1 decade ago
Solution:

First we calculate upto 1997.
1998 = 1600+300+97.

For 1600 0odd days because 1600 is divisible by 4 so it is 0.
For 300 is 1 odd days.
For 97 we have 24 leap year and 73 ordinary year.
Calculate if leap year*2 so 24*2 = 48+73.
=121.

While dividing 121 by 7 we get remainder as 2 that is 2 odd days.
Still we have to calculate from jan 1998 to 17th june 1998 we have 168 days if We divided by 7 remainder is zero.
Totally we have 3 odd days.

Sun Mon Tue Wed Thu Fri Sat
0 1 2 3 4 5 6
So answer is wed.

Dharsinipriya said:   1 decade ago
How to calculate leap year and ordinary year between 200 years?

Pragati said:   1 decade ago
First divide that no by 4.
200/4 = 50 is the leap year.
And 200-50 = 150 is the ordinary year.

Vinod zala said:   1 decade ago
Friends it's so simple, Remember only code:

Year Code:

1600-1699 = 6.
1700-1799 = 4.
1800-1899 = 2.
1900-1999 = 0.
2000-2099 = 6.

Month Code:

Jan = 0
Feb = 3
Mar = 3
April = 6
May = 1
June = 4
July = 6
Aug = 2
Sep = 5
Oct = 0
Nov = 3
Dec = 5

Day Code:

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

Steps to solve:

What was day on 17/8/1998 ?

Step:1 (add day + last two digit of years).

(17+98=115).

Step:2 (divide last two digit of years by 4).

98/4 == 24.

Step:3 (add code value)

115
+24
+04 --- month code.
+00 --- year code.
-----
143.

Step: 4 (divide result step 3 by 7).

143/7 = 3.

Step:5 (match with day code).

3 === Wednesday.

Sahithi said:   1 decade ago
Please any one explain how to find 11th oct 1993 - day?

But above explained rules are not giving exact day what it is.

Deepak said:   1 decade ago
How to calculate odd day in 1600 years?

MaheshMydo said:   1 decade ago
How did you arrive at MONTH CODES?

Prince said:   1 decade ago
We can solve this problem by going back from 2000 to 17 June 1998.

= 2000-2 odd days (leap year).

= 1999-1 odd day.

= 1988 (197 days i.e 1 odd day) (31 dec+30 nov. 17 june).

Total 4 odd days.

Since we have reversely calculated it.

Sat, Fri, Thurs, Wed.

John said:   1 decade ago
@Mickey.

Now divide 144 by 7.

We'll get quotient = 20 and remainder = 4.

So 4th day is Wednesday.

Here remainder is wrong. We will get it as 5.

How you get remainder as 4?

Monu said:   1 decade ago
If 15 august 1993 is Friday then what would be the day of 6th march of same year? Anybody please answer this.


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