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# M08-14

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Math Expert
Joined: 02 Sep 2009
Posts: 43810

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15 Sep 2014, 23:37
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Difficulty:

65% (hard)

Question Stats:

54% (00:59) correct 46% (00:50) wrong based on 37 sessions

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The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 21st of September 1990?

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

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Math Expert
Joined: 02 Sep 2009
Posts: 43810

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15 Sep 2014, 23:37
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Official Solution:

The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 21st of September 1990?

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

There are 365 days in an ordinary year and 366 days in a leap-year.

365 divided by 7 (a week period) yields a remainder of 1, thus the same date after an ordinary year would fall on the next day of a week;

366 divided by 7 (a week period) yields a remainder of 2, thus the same date after a leap-year would fall two days after in a week;

Thus 3 years, 1988, 1989 and 1990, will accumulate $$2+1+1=4$$ days, plus 2 days of difference between 19th and 21st, which gives total of 6 days of difference (6 days shift). Thus, 21st of September 1990 was Saturday + 6 days = Friday.

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Joined: 21 Sep 2015
Posts: 82
Location: India
GMAT 1: 730 Q48 V42
GMAT 2: 750 Q50 V41

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02 Jul 2016, 23:06
I think this is a high-quality question and I agree with explanation.
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Appreciate any KUDOS given !

Senior Manager
Joined: 31 Mar 2016
Posts: 406
Location: India
Concentration: Operations, Finance
GMAT 1: 670 Q48 V34
GPA: 3.8
WE: Operations (Commercial Banking)

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16 Aug 2016, 04:50
I think this is a high-quality question and I agree with explanation. Though this question is inspired by a GMATPrep question the explanation is fabulous and simple!
Intern
Joined: 22 Jul 2013
Posts: 19
Location: United States
Concentration: Technology, Entrepreneurship
Schools: IIM A '15
GMAT 1: 650 Q46 V34
GMAT 2: 720 Q49 V38
GPA: 3.67
WE: Engineering (Non-Profit and Government)

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03 Sep 2016, 07:13
You can solve this question in 30 seconds period. Only one simple rule to remember. "If today is a Monday, year not being a leap year, then next year same day will be a Tuesday. If Current year is a leap year then just add 2 days. So say if we are in Jan 1st 2015, Which is a Thursday, and need to find Jan 1st, 2016 just add 1 day. So Jan 1st, 2016 will be a Friday. But Jan 1st of 2017 will be Sunday since 2016 is a leap year ( we add 2 days).

Thanks,
Arun
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Joined: 06 Feb 2016
Posts: 48
Location: Poland
Concentration: Finance, Accounting
GMAT 1: 730 Q49 V41
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19 Sep 2016, 13:18
I think it is a very good quality question.
Intern
Joined: 24 Oct 2016
Posts: 29

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17 Sep 2017, 00:19
I think this is a high-quality question.
Intern
Joined: 08 Dec 2016
Posts: 41

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07 Dec 2017, 07:16
Another approach:

2*365+366+2 = 1098
1098 = #of days

1098/7 = 156 with remainder 6
where 7 days of the week
156 = # of weeks

6 days+ Saturday = Friday
Intern
Joined: 08 Jul 2016
Posts: 21

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26 Jan 2018, 13:12
I think this is a high-quality question and I agree with explanation.
Re M08-14   [#permalink] 26 Jan 2018, 13:12
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# M08-14

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