Aptitude - Calendar - Discussion
Discussion Forum : Calendar - General Questions (Q.No. 1)
1.
It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
Answer: Option
Explanation:
On 31st December, 2005 it was Saturday.
Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.
On 31st December 2009, it was Thursday.
Thus, on 1st Jan, 2010 it is Friday.
Discussion:
258 comments Page 4 of 26.
Prasant said:
1 decade ago
Let's take a simple way:
1 Jan 2006 - Sunday (given)
1 Jan 2006 to 1 Jan 2007: 1 odd day
1 Jan 2007 to 1 Jan 2008: 1 odd day
1 Jan 2008 to 1 Jan 2009: 2 odd day
1 Jan 2009 to 1 Jan 2010: 1 odd day
Total odd days = 5 (i.e. 5th no. odd day is 1 Jan 2010)
Since given day is sunday, consider it as '0', then 1 for monday, 2 for tuesday....5 for Friday.
1 Jan 2006 - Sunday (given)
1 Jan 2006 to 1 Jan 2007: 1 odd day
1 Jan 2007 to 1 Jan 2008: 1 odd day
1 Jan 2008 to 1 Jan 2009: 2 odd day
1 Jan 2009 to 1 Jan 2010: 1 odd day
Total odd days = 5 (i.e. 5th no. odd day is 1 Jan 2010)
Since given day is sunday, consider it as '0', then 1 for monday, 2 for tuesday....5 for Friday.
Vivek said:
10 years ago
Hi Friends,
The concept is after every year the 1st day will be next day of previous year for example if on 1st January, 2007 the day is Monday then on 1st January, 2008 the day will be Tuesday.
But for year after leap year, the day is next of next day for example for 1st January, 2009 the day will be Thursday. You can verify it from calendar.
The concept is after every year the 1st day will be next day of previous year for example if on 1st January, 2007 the day is Monday then on 1st January, 2008 the day will be Tuesday.
But for year after leap year, the day is next of next day for example for 1st January, 2009 the day will be Thursday. You can verify it from calendar.
M Rajeswari said:
1 decade ago
Simple in question we have 2006 Jan 1 to 2010 Jan 1.
Here 2006, 2007, 2008, 2009, 2010.
In this number of odd days in each year is 1 but 2008 is is the leap year. So we can take extra one day so it is 2.
Then now total number of odd days is 6.
Now from Jan 1 2006 Sunday to 6th day of Jan 1 2010 is Friday.
I think it is helpful.
Here 2006, 2007, 2008, 2009, 2010.
In this number of odd days in each year is 1 but 2008 is is the leap year. So we can take extra one day so it is 2.
Then now total number of odd days is 6.
Now from Jan 1 2006 Sunday to 6th day of Jan 1 2010 is Friday.
I think it is helpful.
Dipesh said:
9 years ago
@Revathi. Divide by 4 is Leap Year.
This is Simple. Example 1st January 2014 is Sunday, then next year same date 1st january 2015 will be Monday.
Similarly, 1st January 2016 will be Tuesday.
Now, 2016 is leap year. So if the question asks what was the day on 1st January 2017 then it will increase by two days i.e Thursday.
This is Simple. Example 1st January 2014 is Sunday, then next year same date 1st january 2015 will be Monday.
Similarly, 1st January 2016 will be Tuesday.
Now, 2016 is leap year. So if the question asks what was the day on 1st January 2017 then it will increase by two days i.e Thursday.
Santhosh said:
5 years ago
@All.
Simple tricks to find a leap year.
--The year not evenly divisible by 4 means-not a leap year.
--The year evenly divisible by 4(but not in 100 &400) means-is a leap year.
--The year evenly divisible by 4 and 100(but not in 400) means-not a leap year.
--The year evenly divisible by 4,100,400 means-is a leap year.
Simple tricks to find a leap year.
--The year not evenly divisible by 4 means-not a leap year.
--The year evenly divisible by 4(but not in 100 &400) means-is a leap year.
--The year evenly divisible by 4 and 100(but not in 400) means-not a leap year.
--The year evenly divisible by 4,100,400 means-is a leap year.
(1)
Kasinath @Hyd said:
1 decade ago
From 2010..... 2000 is a factor of 400.(A/C to leap year Formula).
Therefore Year 2000 is Leap year hence we get 0 odd days.
From remaining 10 Years we have,
8 Ordinary years and 2 leap years i.e.,(4th & 8th year).
=> 8*1 + 2*2 = 12 days.
12/7 = 1 week + 5 odd days.
A/C to formula 5th day represent Friday.
Therefore Year 2000 is Leap year hence we get 0 odd days.
From remaining 10 Years we have,
8 Ordinary years and 2 leap years i.e.,(4th & 8th year).
=> 8*1 + 2*2 = 12 days.
12/7 = 1 week + 5 odd days.
A/C to formula 5th day represent Friday.
Dhevahi said:
1 year ago
1 year = 365 days.
Leap year = 366 days.
2006=365
2007=365
2008 is a leap year.
So = 366
2009 = 365 days.
We add 4 years date,
Hence, (365+365+366+365)= 1461.
1461/7 = remainder 5
Add 5 days from Sunday = 0.
Monday = 1.
Tuesday =2.
Wednesday =3.
Thursday = 4.
Friday = 5
Saturday = 6.
So, the answer is Friday.
Leap year = 366 days.
2006=365
2007=365
2008 is a leap year.
So = 366
2009 = 365 days.
We add 4 years date,
Hence, (365+365+366+365)= 1461.
1461/7 = remainder 5
Add 5 days from Sunday = 0.
Monday = 1.
Tuesday =2.
Wednesday =3.
Thursday = 4.
Friday = 5
Saturday = 6.
So, the answer is Friday.
(217)
Gayathri said:
1 decade ago
Given info is :
1.01.2006 --- Sunday.
Since 2006 is non leap year. 1 odd day
i.e 1 day extra for the next year.
1.01.2007 --- Monday.
similarly for 2007 .
1.01.2008 -- Tuesday.
2008 is a leap year. So 2 days extra.
1.01.2009 -- Thursday(2 days gap).
1.01.2010 -- Friday.
So Friday is answer.
1.01.2006 --- Sunday.
Since 2006 is non leap year. 1 odd day
i.e 1 day extra for the next year.
1.01.2007 --- Monday.
similarly for 2007 .
1.01.2008 -- Tuesday.
2008 is a leap year. So 2 days extra.
1.01.2009 -- Thursday(2 days gap).
1.01.2010 -- Friday.
So Friday is answer.
Sameera keerthana best frnds forever said:
1 decade ago
Don't confuse yaar just calculate.
Jan 1 2010 = (jan+2009)odd day calculation.
For 2009 no.of odd days are (2000+1+2+3+4+5+6+7+8+9)
(0+1+1+1+2+1+1+1+2+1) = 11/7 = 4 odd days.
For 1 Jan no.of odd days = 1 odd day.
So totally = (4+1) = 5 odd days.
5->Friday.
Jan 1 2010 = (jan+2009)odd day calculation.
For 2009 no.of odd days are (2000+1+2+3+4+5+6+7+8+9)
(0+1+1+1+2+1+1+1+2+1) = 11/7 = 4 odd days.
For 1 Jan no.of odd days = 1 odd day.
So totally = (4+1) = 5 odd days.
5->Friday.
Soubhagya said:
9 years ago
In 100 year we find leap year & non leap year first.
We take 99 years because 100th years is continues.
In 100/4 we get 24 leap year & 99-24=76 is normal yard.
In leap year we get 2 odd days,
In non-leap yard we get 1 odd day, Like this we can find leap the non leap years.
We take 99 years because 100th years is continues.
In 100/4 we get 24 leap year & 99-24=76 is normal yard.
In leap year we get 2 odd days,
In non-leap yard we get 1 odd day, Like this we can find leap the non leap years.
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