Aptitude - Calendar - Discussion

98 is a leap year then February has 29 days right?

Why we took 300 years?

Could anyone explain me why are we considering 300 years? .

96/4 = 24. and 96 -24 =72 ordinary years.

This means in 96 years there are 24 leap years and 72 ordinary years.

So, in 97 years = 96 (24 odd +72 ordinary)+ 1 (ordinary).
=> 97 years = 24 odd + 73 ordinary years.

i.e. 97-24 = 73 ordinary years.

Hi,

I don't understand about 1600 and 300 years, please explain.

@All.

Just remember;

100yrs --> 5 odd
200yrs --> 3 odd
300yrs --> 1odd
400yrs --> 0 odd
Now given 1998 jun 17:
We can write 1600 + 300 + 97 + jan1 to june 17

1600 because it gives odd days as 0 because its a multiple of 400.
300 because you know the odd days is 1 from the above table,
Remaining 97 yrs and jan1 to jun17.

For 97yrs -> 24 leap year and 73 ordinary years.
To calculate the odd days.
For all leap year, multiply by 2 and for an ordinary year with 1.

So,24 * 2 + 73*1 = 121.
Now 121/7 = remainder 2 (odd days)

Therefore;
1600 -> 0 odd days,
300 -> 1 odd days,
97 -> 2 odd days.

Jan 1 to jun17 -> we have 3 (31 days), 1 (30 day), 1 (28 day), and 17 days.

Remember:
31days->3,
30days->2,
29->1.
28->0.

So, we get 3 * 3 + 1 * 2 + 1 * 0 + 17 = 9+2+17 = 28 odd days.

For final step:
0 + 1 + 2 + 28 = 31,
31/7=3 remainder.

Chart:
Sun - 0,
Mon - 1,
Tue - 2,
Wed - 3,
Thu - 4,
Fri - 5,
Sat - 6.

So 3 in the chart is *WEDNESDAY*.

I cannot get the answer. Anyone help me to get the answer clearly.

Instead of going straight forward from 1600 then 1900 then to 1997 can we come reverse from 2000 to 1998?

Is it possible? Anyone, clarify it.

You are right, thanks @Sri Harsha.

The output of = years (date (2016, 5, 1), date (2013, 5, 1), 0) will return.