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M08-14

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M08-14  [#permalink]

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New post 15 Sep 2014, 23:37
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  75% (hard)

Question Stats:

45% (01:04) correct 55% (01:03) wrong based on 47 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

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Re M08-14  [#permalink]

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New post 15 Sep 2014, 23:37
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.


Answer: E
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Re M08-14  [#permalink]

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New post 02 Jul 2016, 23:06
I think this is a high-quality question and I agree with explanation.
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Re M08-14  [#permalink]

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New post 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!
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Re: M08-14  [#permalink]

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New post 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).

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Re: M08-14  [#permalink]

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New post 19 Sep 2016, 13:18
I think it is a very good quality question.
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New post 17 Sep 2017, 00:19
I think this is a high-quality question.
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Re: M08-14  [#permalink]

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New post 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
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Re M08-14  [#permalink]

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

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New post 16 Jun 2018, 03:11
I think this is a high-quality question and I agree with explanation. Hey, I like the question but to be honest I think it is more 500 lvl than 700 lvl. I dont say that to brag (got below 40 in quant acutally)
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Re M08-14 &nbs [#permalink] 16 Jun 2018, 03:11
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