Could you please explain how did you calculate the leap year.

Leap yrs are those yrs that are divisible by 4. However those yrs which can be divisible by 4 as well as 100 are not leap yrs. on top of that if any year is divisible by 4 and 100 as well as 400 it is a leap year.

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how did found 96-20 by 4

In qty A 1920 is the first leap yr and 1996 is the last leap yr. Hence 1996-1920 which is essentially 96-20. Since the difference between each leap yr is 4 so we divide by 4

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A --> 79 years - 15 days
B --> 79 years + 15 days

Hence, B is greater and it is the Answer.

Could you please explain how you manage to get
-15 for option A.
+ 15 days for option B.

Thanks

I am not able to understand this 15 days thing with +/- could you explain it again?
Thanks

Let's forget the # of years since they are the same, that is likely there to confuse us and make the question sound more daunting. Let's consider a 1 year timeframe:
For Qty A:
May 30 to May 30 is 1 year, but this quantity is 15 days less than 1 year

for Qty B:
May 15 to May 15 is one year, but this quantity is 15 days more than 1 year.

That's where the +/- 15 comes from, and why the answer is B.

The way you explained it. uff!! thanks my guy.I understand it completely now.

To compute the days, we can simply count the total number of years that have passed and multiply them by 365, noting the leap years

QA:
May 30, 1917 to May 15, 1996

For the number of leap years:
1996 -> m4, so it is the last leap
1920 -> m4, so it is the first leap

\(\frac{{1996-1920}}{4}+1=20\)

Total number of years from 1917 to 1996:
1996-1917+1=80
Notice however, that 80 years would take us to May 30, 1996. So we need to remove 15 days.

Therefore:
\(QA=366(20)+365(60)-15\)

We now perform a similar operation on QB:

1912 -> m4, so it is the first leap year
1988 -> last m4 in the set, so it is the last leap year
\(\frac{{1988-1912}}{4}+1=20\)

Between 1912 and 1991 there were:
1991-1912+1=80 years
Notice that, 80 years would take us to May 15, 1991. QB is until May 30, so you need to add 15

\(QB=366(20)+365(60)+15\)

QA and QB have the same multiplication, however in QA you subtract by 15 whereas in QB you add by 15. So QB must be bigger.

First taking the year It says between

so we can say number of years would be (96-17)-1=78
In second case its inclusive so its (91-12)+1=80

Even if we compensate a few days we can evidently see that B>A