Aptitude - Calendar - Discussion

Discussion Forum : Calendar - General Questions (Q.No. 4)
4.
What will be the day of the week 15th August, 2010?
Sunday
Monday
Tuesday
Friday
Answer: Option
Explanation:

15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)

Odd days in 1600 years = 0

Odd days in 400 years = 0

9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days 4 odd days.

Jan.  Feb.   March    April    May  June  July  Aug. 
(31 +  28  +  31   +   30   +  31  + 30  + 31  + 15) = 227 days

227 days = (32 weeks + 3 days) 3 odd days.

Total number of odd days = (0 + 0 + 4 + 3) = 7 0 odd days.

Given day is Sunday.

Discussion:
95 comments Page 4 of 10.

Adithya said:   5 years ago
Why 9 years? Is'nt it 10 years?

Aditya said:   5 years ago
We can get a number of odd days in 9years by dividing 9 by 4 as in every 4 years there is a leap year. The quotient is the number of leap years and rest is ordinary years so,

9years = 2leap years + 7ordinary years.

Habib said:   5 years ago
@John. 2000 is splint into a possible and nearest 4th century to the figure and after a remainder is obtained.

i.e 2000 = 1600 + 400.

Nithin paul said:   6 years ago
@Madhu.

For 15 years we have 3 leap year (12/4=3).
And 12 ordinary years,
So total num of odd days=(3*2+12*1)=18,

(Add 2 point for leap year because 2 days will shift for the next year odd days is the actual concept that if 2016 Jan 1 is sunday then 2017 Jan would be Monday but after a leap year it would be Tuesday so 2 days will shift).

And try to divide the number of odd days with 7.

Here it is 18 cant divide by 7.
So 14/7=2.
Then 4 days are remaining then 4 is the num of odd days.
*(dividing 7 means a week have seven days).

THIRU said:   6 years ago
(15+10+2+6+10/4)= 35/7 = 0.

Vaishnavi said:   6 years ago
On what basis is m being determined?

Muzige said:   6 years ago
@Vaibhav.

In the formula f = k + (13m-1)/5 +d + (d/4)+(c/4)-2c, how to determine m?

Madhu said:   7 years ago
How many odd days in 15 years? please tell me the answer.

Thinlay Penjor said:   7 years ago
Hello.

Why we are taking the odd number of 1600 years, 400 years and 9 years when it is only asked any the day on 15th August 2010?

Rama devi said:   8 years ago
15/8/2010.
15+10+2+2+6/7 =35.
7 )35(5
35
-

It's reminder. 0.
So,
Ans Is Saturday.


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