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If r and s are positive integers, is r/s an integer? 1.

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If r and s are positive integers, is r/s an integer? 1. [#permalink] New post 18 Aug 2008, 12:52
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If r and s are positive integers, is r/s an integer?

1. Every factor of s is also factor of r
2. Every prime factor of s is also a prime factor of r

For statement 2, could you please explain your approach in detail. Thanks!
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Re: DS: Number properties [#permalink] New post 18 Aug 2008, 13:03
vksunder wrote:
If r and s are positive integers, is r/s an integer?

1. Every factor of s is also factor of r
2. Every prime factor of s is also a prime factor of r

For statement 2, could you please explain your approach in detail. Thanks!


SUPPOSE r = 30
PRIME FACTORS = 2, 3, and 5

SUPPOSE s = 120
PRIME FACTORS = 2, 3, and 5

but r is not divisible by s or r/s is not an integer.
so A.
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Re: DS: Number properties [#permalink] New post 22 Aug 2008, 10:55
what we apply the same logice to 2nd statement

s=40-2*2*2*5
prime factors=2&5

r=100=2*2*5*
prime facotrs 2 & 5

still r/s is not an integer
hence both a & b are not sufficient so answer is E
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Re: DS: Number properties [#permalink] New post 22 Aug 2008, 11:03
Except that A is actually sufficient.

Amichoudhary wrote:
what we apply the same logice to 2nd statement

s=40-2*2*2*5
prime factors=2&5

r=100=2*2*5*
prime facotrs 2 & 5

still r/s is not an integer
hence both a & b are not sufficient so answer is E

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Re: DS: Number properties [#permalink] New post 30 Oct 2011, 21:04
GMAT TIGER wrote:
vksunder wrote:
If r and s are positive integers, is r/s an integer?

1. Every factor of s is also factor of r
2. Every prime factor of s is also a prime factor of r

For statement 2, could you please explain your approach in detail. Thanks!


SUPPOSE r = 30
PRIME FACTORS = 2, 3, and 5

SUPPOSE s = 120
PRIME FACTORS = 2, 3, and 5

but r is not divisible by s or r/s is not an integer.
so A.


From your example given it doesnt look like r/s is an integer and hence answer should be A?? Can you please confirm ....

From st1 does that mean if there are two 2's in r then there should be two 2's in s as well?

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Re: DS: Number properties [#permalink] New post 31 Oct 2011, 05:01
@siddhans

Every factor of s is also a factor of r doesn't imply that they should be prime factors

The number 120 has the following factors
1 120
2 60
3 40
4 30
5 24
6 20
8 15
12 10
The number 30 has the following factors
1 30
2 15
3 10
5 6

In statement 1 , if every factor of s is also a factor of r, that means either r and s are one and same integer or that
s<r
Ex s =2;r=4. Every factor of 2 is also a factor of 4
Re: DS: Number properties   [#permalink] 31 Oct 2011, 05:01
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