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# If today is Monday, what day of the week will it be in 347 days?

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Math Expert
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If today is Monday, what day of the week will it be in 347 days?  [#permalink]

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11 Apr 2018, 20:33
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Difficulty:

25% (medium)

Question Stats:

65% (00:45) correct 35% (00:54) wrong based on 70 sessions

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If today is Monday, what day of the week will it be in 347 days?

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

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If today is Monday, what day of the week will it be in 347 days?  [#permalink]

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11 Apr 2018, 21:43
Bunuel wrote:
If today is Monday, what day of the week will it be in 347 days?
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E. Friday

Since 347/7 = 49 and leaves a remainder of 4
=> After 49*7=343 days it's still a Monday. From there, count 4 more days then we'll get a Friday.
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Re: If today is Monday, what day of the week will it be in 347 days?  [#permalink]

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11 Apr 2018, 23:01
347 days = 343days + 4days = (7^3) + 4 days
We know that week-days have a cyclicity of 7. Hence the equiavalent day would be Monday + 4th day.
So, fourth day from Monday would be FRIDAY. Hence option E. Friday
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Re: If today is Monday, what day of the week will it be in 347 days?  [#permalink]

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16 Apr 2018, 15:20
Bunuel wrote:
If today is Monday, what day of the week will it be in 347 days?

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

We know that there are 7 days in a week. So every 7 days, starting with today, we will have a Monday. For example, in 7 days it will be Monday. Also, in 14 days, or in 21 days, or any multiple of 7 days, it will also be Monday.

Let’s find a multiple of 7 that is close to 347. Since 350 is a multiple of 7, we know that in 350 days it will be Monday. Going backwards, 349 days from today will be Sunday, 348 it will be Saturday and, finally, 347 days from now it will be Friday.

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Re: If today is Monday, what day of the week will it be in 347 days?   [#permalink] 16 Apr 2018, 15:20
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