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yrozenblum
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A certain desk calendar shows the number of the day of the year and th 02 Nov 2023, 11:25
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A certain desk calendar shows the number of the day of the year and the number of days remaining in the year. If the calendar shows 1/364 for Sunday, January 1, on what day of the week does the calendar show 214/151?

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

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A certain desk calendar shows the number of the day of the year and th 02 Nov 2023, 12:43
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yrozenblum
A certain desk calendar shows the number of the day of the year and the number of days remaining in the year. If the calendar shows 1/364 for Sunday, January 1, on what day of the week does the calendar show 214/151?

A. Sunday
B. Monday
C. Tuesday
D. Wednesday
E. Thursday
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Given

January 01 → Sunday

The next Sunday is January 8, which the desk calendar shows as 8/357
The third Sunday is January 15, which the desk calendar shows as 15/350
.
.
Inference → Every Sunday has the numerator in the form of 7n+1

Hence, we can conclude that 7*(30) + 1 is a Sunday

211 → Sunday
212 → Monday
213 → Tuesday
214 → Wednesday

Option D
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A certain desk calendar shows the number of the day of the year and th 22 Apr 2024, 10:14
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214 MOD 7 = 4

SUN    MON    TUE    WED    THU    FRI    SAT
  1         2        3         4         5­        6       7­
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A certain desk calendar shows the number of the day of the year and th 22 Apr 2024, 17:29
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­A certain desk calendar shows the number of the day of the year and the number of days remaining in the year. If the calendar shows 1/364 for Sunday, January 1, on what day of the week does the calendar show 214/151?

Day 1 is a Sunday.

Day 214 is 213 days later.

Every 7 days later will be another Sunday.

210 is divisible by 7.

So, day 213 is 213 - 210 = 3 days after a Sunday.

Monday - 1

Tuesday - 2

Wednesday - 3

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

Correct answer: D
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A certain desk calendar shows the number of the day of the year and th 18 Jul 2025, 02:15
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For those that made the silly mistakes in counting which number the corresponding day of the week falls (dumbass who chose Thursday here), I find it helps to write out the sequence and the day next to it to visualise and avoid this confusion.
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A certain desk calendar shows the number of the day of the year and th 06 Aug 2025, 05:19
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1+7n will be Sunday, for every integer n.

n = 30 means 211 days will have 30 cycles complete.

212 = Monday
213 = Tuesday
214 = Wednesday - our answer.
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