GreenlightTestPrep wrote:
GreenlightTestPrep wrote:
If 15 and 4 are factors of positive integer K, and 5 and 8 are not factors of positive integer M, then K – M CANNOT equal
A) 34
B) 44
C) 54
D) 70
E) 83
RULE #1: If d is a divisor/factor of x, but d is NOT a divisor/factor of y, then d is NOT a divisor/factor of x+y
RULE #2: If d is a divisor/factor of x, but d is NOT a divisor/factor of y, then d is NOT a divisor/factor of x-y
If 15 is a factor of K, then we can also be certain that
5 is a factor of K.
So, we know that
5 is a factor of K AND we know that
5 is not a factor of MBy RULE #2, we know that 5 is not a factor of K - M
So, K-M cannot equal 70
Answer:
as both 15 and 4 are the factors of K, then K =60x , where x a positive integer greater than or equal to 1.
Therefore, K-M when equal 70
we get, 120-M=70 [ say, K equal 60*2]
M=120-70=50 which is NOT possible, because M is not a MULTIPLE of 5 and 8.
But, elimination of other options need little elucidation .
pls do it, if possible.