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Praetorian
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[#43] 2 Min. Challenge : Snow White 10 May 2004, 15:15
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Halle. , Anand, Paul, please wait a while before replying. you are all great in math. but if you wait and let other guys answer first, i think it would help them better. IF they do problems wrong, kindly help them out. thanks :) I hope others participate :oops:

Code: md.
Level : Advanced (again, try to do it under 2 Mins.)


Starting January 1, the first dwarf visits Snow White every day. The second dwarf visits Snow White on January 2 and every second day therafter. The pattern continues for each of the seven dwarfs (i.e., the seventh dwarf visits Snow White on January 7 and every seventh day thereafter). What is the total number of dwarf visits up to and including the first day when all seven dwarfs visit Snow White?

a. 28
b. 42
c. 105
d. 420
e. 1089



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sachy
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[#43] 2 Min. Challenge : Snow White 10 May 2004, 19:23
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420 is my answer (less than 2 min)

its LCM of 1,2,3...7
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Emmanuel
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[#43] 2 Min. Challenge : Snow White 10 May 2004, 23:56
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Praetorian
Halle. , Anand, Paul, please wait a while before replying. you are all great in math. but if you wait and let other guys answer first, i think it would help them better. IF they do problems wrong, kindly help them out. thanks :) I hope others participate :oops:

Code: md.
Level : Advanced (again, try to do it under 2 Mins.)


Starting January 1, the first dwarf visits Snow White every day. The second dwarf visits Snow White on January 2 and every second day therafter. The pattern continues for each of the seven dwarfs (i.e., the seventh dwarf visits Snow White on January 7 and every seventh day thereafter). What is the total number of dwarf visits up to and including the first day when all seven dwarfs visit Snow White?

a. 28
b. 42
c. 105
d. 420
e. 1089
Show more


The first day, when all dwarfs visit Snow White is n :: 1, 2, 3, 4, 5, 6, 7.

n = 420.

Total # = 420 + 420/2 + 420/3 + 420/4 + 420/5 + 420/6 + 420/7 = 1089.
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[#43] 2 Min. Challenge : Snow White Updated on: 11 May 2004, 10:27
Originally posted by anandnk on 11 May 2004, 10:19.
Last edited by anandnk on 11 May 2004, 10:27, edited 1 time in total.
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I second Emmanuel's explanation.
On 420th day all of them meet the Snowwhite. I wonder why cant the first dwarf live with her. :shock: :roll:
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sachy
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[#43] 2 Min. Challenge : Snow White 11 May 2004, 10:22
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I didn't pay attention to the question - so I am wrong. I stopped after finding first day when all dwarfs would visit together. :cry:
thats usually where I mess up things(paying not enough attn to questions).
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[#43] 2 Min. Challenge : Snow White 11 May 2004, 11:34
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The question was a bit misleading :
According to my interpretation all Dwarfs meet SnowWhite at least once till Sunday 7th of Jan. Where the number of visits are:
7/1+[7/2]+[7/3]+[7/4]+[7/5]+[7/6]+7/7 = 7+3+2+1+1+1+1 = 16
unfortunately this number was not among the choices. :cry:
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[#43] 2 Min. Challenge : Snow White 11 May 2004, 14:14
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I wish more new guys participate. :oops:

The answer is E.

Nice work emmanuel. sachy, its ok, just write down the problem that you get wrong somewhere and write some notes for yourself.

Let N=number of days until all 7 dwarfs visit. Then N is the smallest integer that is divisible by 1,2,...7. So N=3· 4· 5· 7=420. In these 420 days, Dwarf #1 visits 420 times, #2 visits 210 times, #3 visits 140 times, #4 visits 105 times, #5 visits 84 times, #6 visits 70 times, and #7 visits 60 times.

al1234, please let us know if you need help.

Sincerely
Praet



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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