Data Sufficiency

if R and S are positive integers, is R/s an integer?

1. every factor os s is also a factor of r

2. every prime factor of s is also a prime factor of r

qa is a

if r ia 4 and s is 2 answer is no. but if r is 2 and s is 4 answer is yes. further, in statement 2 for each prime factor to match; doesnt this mean that the numbers must be the same prime number?

i have qa is b. whats up?!

if r ia 4 and s is 2 answer is no. but if r is 2 and s is 4 answer is yes. further, in statement 2 for each prime factor to match; doesnt this mean that the numbers must be the same prime number?


I think u reverses what u were trying to say. if r ia 4 and s is 2 answer is yes. but if r is 2 and s is 4 answer is no


Stmt 1) Every factor of s is a factor of r I think this means r is a mutiple of s So r/s will be an integer for sure

SUFF

Stmt 2) Consider 20 and 50 where r=50 s=20

50 = 2*5*5
20 = 2*5*2

Every prime factor of 20 is a prime factor of 50 but 50/20 is not an integer

Consider r=40 s=20,Every prime factor of 20 is also a prime factor 40 and 40/20 is an integer

INSUFF


Hope I am not way off here!

I looked up the og after I posted and I think og gives a good explanation for statement 2

r=18 s=6 holds good r/s integer
r=18(2*2*3*3) s=8(2*2*2) r/s is not an integer

8's prime factor 2 is in 18 but still 18/8 is not an INTEGER
Hope this helps!

(A)

this one baffles me. I am not seeing the light on this!

simba12123 wrote:this one baffles me. I am not seeing the light on this!

Let me try to explain...............
First try to understand the difference between factors and prime factors.

2 2 3 3

Factors of 36 are 1 2 4 3 9 6 12 18 36
Prime factors of 36 are 2 and 3


Now look at the problem
A
every factor os s is also a factor of r

means
R is either equal to or greater than s
and the greater is by an integer mutiple
Ex: r = S = 36
or
r = 72 and s = 36

so we can easily say, even without example, that statement is sufficient.


B
every prime factor of s is a prime factor of r
but we do not know what is the degree, i mean power of that factor in s
it may be possible that power in s is greater and same in R is less.

Example
S = 36, prime factors 2,3
R = 12, prime factors 2,3


also
S = 36, prime factors 2,3
R = 72, prime factors 2,3

so B is insuff

Hope this helps

thanks folks. its so much easier knowing where I went wrong.