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# crazy integer multiplication

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Manager
Joined: 19 Sep 2005
Posts: 110
Followers: 1

Kudos [?]: 5 [0], given: 0

crazy integer multiplication [#permalink]  08 Nov 2005, 21:09
How do you solve this one quickly?

For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n inclusive. If p is the smallest prime factor of h(100) + 1, then p is
a. between 2 and 10
b. b/n 10 and 20
c. b/n 20 and 30
d. b/n 30 and 40
e. greater than 40

thanks!
SVP
Joined: 24 Sep 2005
Posts: 1891
Followers: 12

Kudos [?]: 159 [0], given: 0

Re: crazy integer multiplication [#permalink]  08 Nov 2005, 21:17
Jennif102 wrote:
How do you solve this one quickly?

For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n inclusive. If p is the smallest prime factor of h(100) + 1, then p is
a. between 2 and 10
b. b/n 10 and 20
c. b/n 20 and 30
d. b/n 30 and 40
e. greater than 40

thanks!

This problem was posted several times not long ago...you may search for it. Btw, it's E.
Director
Joined: 21 Aug 2005
Posts: 793
Followers: 2

Kudos [?]: 10 [0], given: 0

h(100)+1 = (2.4.6...100)+1 = 2(1.2.3...50)+1
All prime factors less than 50 will yield a remainder of 1. So nothing less than 50 is a factor of this. Hence E.

Hey laxie, is that you in the picture?
How were you able to upload something from outside this site? I keep getting errors when I try to do it
SVP
Joined: 24 Sep 2005
Posts: 1891
Followers: 12

Kudos [?]: 159 [0], given: 0

gsr wrote:

Hey laxie, is that you in the picture?
How were you able to upload something from outside this site? I keep getting errors when I try to do it

ah, i encountered the same error when trying to upload pix too ...guess what, I tried putting the link/ URL in the off-site fill-in place and it WORKED ...you may try it out~!!
Uhm, guess whether it's me ...if you answer correctly ..i'll reward you a piece of chocolates ^_~
Current Student
Joined: 28 Dec 2004
Posts: 3387
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 14

Kudos [?]: 186 [0], given: 2

where is my sugga candy?

laxieqv wrote:
gsr wrote:

Hey laxie, is that you in the picture?
How were you able to upload something from outside this site? I keep getting errors when I try to do it

ah, i encountered the same error when trying to upload pix too ...guess what, I tried putting the link/ URL in the off-site fill-in place and it WORKED ...you may try it out~!!
Uhm, guess whether it's me ...if you answer correctly ..i'll reward you a piece of chocolates ^_~
Director
Joined: 21 Aug 2005
Posts: 793
Followers: 2

Kudos [?]: 10 [0], given: 0

laxieqv wrote:
gsr wrote:
ah, i encountered the same error when trying to upload pix too ...guess what, I tried putting the link/ URL in the off-site fill-in place and it WORKED ...you may try it out~!!
Uhm, guess whether it's me ...if you answer correctly ..i'll reward you a piece of chocolates ^_~

2. "guess whether it's me" The answer to this DS question is E. Insufficient data. So, I got it right!! Where are my chocolates?!
SVP
Joined: 24 Sep 2005
Posts: 1891
Followers: 12

Kudos [?]: 159 [0], given: 0

ok, i captured a pic for you to see it clearly ...eager to see your new avatars
well, did i say it's a DS question?!! ..it's a problem solving ..so of coz , no data provided
SVP
Joined: 24 Sep 2005
Posts: 1891
Followers: 12

Kudos [?]: 159 [0], given: 0

ok, i captured a pic for you to see it clearly ...eager to see your new avatars
well, did i say it's a DS question?!! ..it's a problem solving ..so of coz , no data provided
Attachments

guide.doc [25.5 KiB]

Director
Joined: 21 Aug 2005
Posts: 793
Followers: 2

Kudos [?]: 10 [0], given: 0

Cool, Laxie! I'am too tired now. Eyes are begging me to turn away from the monitor - been staring at this for 12 hours straight!
See you tomorrow with my new Avtar and will collect my chocolates/candies!
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