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Remainders problem

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Lucy was born on Wednesday, December 1st, 2004. That Wednesday was the first day of her life. Her parents held a party for her on the \$1000\$th day of her life. On which day of the week was the party?

Jul 25, 2020

8+0 Answers

#1
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The 1000th day of Lucy's life fell on: Tuesday, August 28, 2007

Jul 25, 2020
#2
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It's not Tuesday :(

Swim2433  Jul 25, 2020
#3
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See here:  https://www.timeanddate.com/date/dateadded.html?m1=12&d1=1&y1=2004&type=add&ay=&am=&aw=&ad=1000&rec=

Guest Jul 25, 2020
#4
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Mr. BB, You forgot the sage advice I’ve offered to you many times: You have to be smarter than the machine you are using. The machine gave you an answer and you believe it –it must be true!

The machine is correct, so it is smart. The information you gave to the machine is not correct, so you are not smarter than the machine.

The question clearly indicates. That Wednesday, December 1st, 2004 was the first day of Lucy’s life.  So … adding a thousand days to this would give the 1001st day.

This type of question is normally solved using modulo arithmetic:  999 mod 7 = 5.  If Wednesday is the first day then Monday is the fifth day.

I bet you are wondering why it’s 999 mod 7 instead of 1000 mod 7.  I can answer your question, but I’ll let you figure it out –you really need the practice!

.

Jul 25, 2020
#5
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2004   was a leap year

1000 days later will not hit another leap year (which come every 4th year)

day 1 was a Wednesday   ...   999 days later would be   142.71   weeks

day 1   8   15   22   are all wednesdays

day 1  + 142*7 = 995  is a  wednesday       999 would be a Sunday , I believe

Jul 25, 2020
edited by ElectricPavlov  Jul 25, 2020
#6
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Leap year days are irrelevant here.

The question asks on what day of the week the celebration will occur after 1000 elapsed days, where first day is the day of her birth. If she was born on a Wednesday then the celebration will occur on a Monday, no matter what year or date she was born.

Guest Jul 25, 2020
#7
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True....leap years are irrev !    D'Oh!

ElectricPavlov  Jul 25, 2020
#8
+27001
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Yep...... You are correct ....(at least I found the same answer)    1 day later would be thursday    day two of her life

7days later would be wdnesday again  day 8 of her life

994 days later would be a wednesday   day 995 of her life

995  days later = thursday       day  996 of her life

996= friday

997 = sat

998 = sunday

999 = MONDAY       day 1000 of her life

THANX , Guest !

ElectricPavlov  Jul 25, 2020
edited by ElectricPavlov  Jul 25, 2020
edited by ElectricPavlov  Jul 25, 2020