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Nov. 18th fell on a Thursday in 1999. On which day did Nov. 18th fall

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Nov. 18th fell on a Thursday in 1999. On which day did Nov. 18th fall [#permalink]

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New post 28 Nov 2017, 23:28
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[GMAT math practice question]

Nov. 18th fell on a Thursday in 1999. On which day did Nov. 18th fall in 2005?

A. Tuesday
B. Wednesday
C. Thursday
D. Friday
E. Saturday
[Reveal] Spoiler: OA

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Re: Nov. 18th fell on a Thursday in 1999. On which day did Nov. 18th fall [#permalink]

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New post 29 Nov 2017, 01:07
MathRevolution wrote:
[GMAT math practice question]

Nov. 18th fell on a Thursday in 1999. On which day did Nov. 18th fall in 2005?

A. Tuesday
B. Wednesday
C. Thursday
D. Friday
E. Saturday


We have 2 leap yere here : 2000 and 2004.

Leap year divisible by 4.

So, the day in 2005 has 8 days difference : Friday.

Wdyt?
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Re: Nov. 18th fell on a Thursday in 1999. On which day did Nov. 18th fall [#permalink]

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New post 01 Dec 2017, 00:12
=>

If a year is divisible by 400, it is a leap year.
If a year is divisible by 100, but not divisible by 400, it is not a leap year.
If a year is divisible by 4, but not divisible by 100, it is a leap year.

The day on which a particular date falls will be shifted by two days from one year to the next if the next year is a leap year, and by one day from one year to the next if the next year is not a leap year. For example, Nov. 18th fell on a Thursday in 1999, and a Saturday in 2000 since 2000 was a leap year. It fell on a Saturday in 2000, and a Sunday in 2001 since 2001 was not a leap year.

As there were two leap years (2000 and 2004) between 1999 and 2005, Nov. 18th shifted by 8 days over the 6-year period. If a date is shifted by 7 days, it will fall on the same day of the week. So, the net effect was to shift Nov. 18th by one day. Therefore, Nov 18th fell on a Friday in 2005, and the answer is D.

Answer: D
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Re: Nov. 18th fell on a Thursday in 1999. On which day did Nov. 18th fall   [#permalink] 01 Dec 2017, 00:12
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