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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # The number of days between May 30, 1917, and May 15, 1996, i  Question banks Downloads My Bookmarks Reviews Important topics
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TAGS: Founder  Joined: 18 Apr 2015
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The number of days between May 30, 1917, and May 15, 1996, i [#permalink]
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Question Stats: 56% (00:47) correct 43% (01:21) wrong based on 57 sessions
 Quantity A Quantity B The number of days between May 30, 1917,and May 15, 1996, inclusive The number of days between May 15, 1912,and May 30, 1991, inclusive

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________ Director  Joined: 07 Jan 2018
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Re: The number of days between May 30, 1917, and May 15, 1996, i [#permalink]
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Let us start with quantity A

The counting begins on May 1917 and ends on May 15 1996
For the time being let us consider the year in totality without computation for months.

Total no of years would come to be $$1996 - 1917 = 19 +1 = 80$$ years since both years are included.
Now, Among these years let us compute the no of leap years
which would be $$\frac{96-20}{4}+ 1 = 20$$ leap years.
Hence we have for qty A $$60$$ normal years and $$20$$ leap years
and let us not forget that counting begins on may 30 and ends on may 15 so we are short of 15 days as well.

Therefore qty $$A = 365* 60 + 366 *20 - 15$$

Coming to qty B similar process as for qty A leads us to the following findings:

leap years = 20
normal years = 60
and the counting begins on may 15 and ends on may 30 so we add 15 more days.

Therefore qty $$B = 365 * 60 + 20 * 366 + 15$$
Qty A = $$21900 + 7320 - 15 = 29205$$
Qty B = $$22265 + 6954 + 15 = 29235$$
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Intern  Joined: 29 Aug 2018
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Re: The number of days between May 30, 1917, and May 15, 1996, i [#permalink]
amorphous wrote:
Let us start with quantity A

The counting begins on May 1917 and ends on May 15 1996
For the time being let us consider the year in totality without computation for months.

Total no of years would come to be $$1996 - 1917 = 19 +1 = 80$$ years since both years are included.
Now, Among these years let us compute the no of leap years
which would be $$\frac{96-20}{4}+ 1 = 20$$ leap years.
Hence we have for qty A $$60$$ normal years and $$20$$ leap years
and let us not forget that counting begins on may 30 and ends on may 15 so we are short of 15 days as well.

Therefore qty $$A = 365* 60 + 366 *20 - 15$$

Coming to qty B similar process as for qty A leads us to the following findings:

leap years = 20
normal years = 60
and the counting begins on may 15 and ends on may 30 so we add 15 more days.

Therefore qty $$B = 365 * 60 + 20 * 366 + 15$$
Qty A = $$21900 + 7320 - 15 = 29205$$
Qty B = $$22265 + 6954 + 15 = 29235$$

Could you please explain how did you calculate the leap year. Director  Joined: 07 Jan 2018
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Re: The number of days between May 30, 1917, and May 15, 1996, i [#permalink]
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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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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

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Re: The number of days between May 30, 1917, and May 15, 1996, i [#permalink]
how did found 96-20 by 4 Director  Joined: 07 Jan 2018
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Re: The number of days between May 30, 1917, and May 15, 1996, i [#permalink]
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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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This is my response to the question and may be incorrect. Feel free to rectify any mistakes Re: The number of days between May 30, 1917, and May 15, 1996, i   [#permalink] 22 Mar 2019, 21:50
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