|
Author |
Message |
|
TAGS:
|
|
|
CEO
Joined: 15 Aug 2003
Posts: 3550
Followers: 55
Kudos [?]:
626
[0], given: 781
|
Is 1,000 a factor of k? a) 2,000 is a factor of 4k b) 8 is a [#permalink]
 09 Oct 2003, 16:00
Question Stats:
0% (00:00) correct
 0% (00:00) wrong based on 0 sessions
Is 1,000 a factor of k?
a) 2,000 is a factor of 4k
b) 8 is a factor of k
|
|
|
|
|
|
|
Manager
Joined: 26 Aug 2003
Posts: 238
Location: United States
Followers: 1
Kudos [?]:
1
[0], given: 0
|
My guess is C as well.
Reasoning:
(1) In other words 500 is a multiple of K.
(2) This says 8 is multiple of K but that has nothing to do with 1000.
(combined) If 500 is multiple of K then you can divide further and see how far you can go with a multiple of 2 in the denominator. You end up with 125, this is where (2) comes in the picture, and you can see that K has to be divisible by at least by twice the 500, which is 1000.
|
|
|
|
|
|
Intern
Joined: 11 Jul 2003
Posts: 31
Followers: 0
Kudos [?]:
0
[0], given: 0
|
The answer is D. 2000 and 8 both go by 1,000.
|
|
|
|
|
|
Manager
Joined: 26 Aug 2003
Posts: 238
Location: United States
Followers: 1
Kudos [?]:
1
[0], given: 0
|
watchdog wrote: The answer is D. 2000 and 8 both go by 1,000.
(1) Let's say K is 500, thus 4K = 2000. 4K divisible by 2000. But 1000 is not a factor of 500.
(2) K = 320. K/8 = 40. Doesn't say anything about 1000 being a factor.
(combined) Since K has to be at least 2*500 = 1000, you can say 1000/8 = 125. And 1000/1000 = 1.
|
|
|
|
|
|
Intern
Joined: 20 Sep 2003
Posts: 23
Location: NY, NY
Followers: 0
Kudos [?]:
0
[0], given: 0
|
I would pick C. Here is the reasoning:
Statement in other words: Is 2^3 x 5^3 factors of K?
1. 2^4 x 5^3 is a factor of 4k, therefore, 2^2 x 5^3 is a factor of K. -Not sufficient since we need one more 2 to affirm the statement.
2. 2^3 is a factor of K, not enough.
Having both, 2^2 x 5^3 and 2^3 as factor of k is enough to say that 2^3 x 5^3 are factors of K
_________________
Yoda
________________________________
Try not. Do or Not Do, there is no try!
|
|
|
|
|
|
SVP
Joined: 03 Feb 2003
Posts: 1683
Followers: 4
Kudos [?]:
16
[0], given: 0
|
got C as well
(1) k=500p NOT SUFF
(2) k=8q NOT SUFF
Combine: k=LCM(500, 8)*r=1000r
|
|
|
|
|
|
SVP
Joined: 03 Feb 2003
Posts: 1683
Followers: 4
Kudos [?]:
16
[0], given: 0
|
YES!!! 
|
|
|
|
|
|
CEO
Joined: 15 Aug 2003
Posts: 3550
Followers: 55
Kudos [?]:
626
[0], given: 781
|
stolyar wrote: YES!!! Stolyar
can we say ,in general, that..
If two numbers are factors of k, then their LCM is also a factor of K.
|
|
|
|
|
|
SVP
Joined: 03 Feb 2003
Posts: 1683
Followers: 4
Kudos [?]:
16
[0], given: 0
|
I think yes.
If two numbers A and B are both factors of X, then X is either LCM(A, B) itself or a multiple of LCM(A, B)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Similar topics |
Author |
Replies |
Last post |
|
Similar
Topics:
|
 |
|
|
If a, b, k, and m are positive integers, is a^k a factor of
|
vivek123 |
5 |
28 Jan 2006, 23:09 |
|
|
|
|
If a, b, k, and m are positive integers, is a^k a factor of
|
bigfernhead |
7 |
04 Jan 2009, 18:55 |
|
|
1
|
 |
If a, b, k, and m are positive integers, is a^k a factor of
|
nailgmattoefl |
8 |
28 Dec 2009, 12:04 |
|
|
2
|
|
If a, b, k, and m are positive integers, is a^k factor of
|
udaymathapati |
5 |
23 Aug 2010, 08:52 |
|
|
|
|
If a,b,k, and m are positive integers, is a^k a factor of
|
Baten80 |
4 |
07 Apr 2011, 23:32 |
|
|
|
|
|
|
close
