abhinavk48 wrote:
LethalMonkey wrote:
shadowcatradz wrote:
x > y, x and y are positive integers. Which of the following statements provide the necessary information to state that y is a factor of x?
1. x/y = k; k is a positive integer
2. x is a multiple of 6 and y is a multiple of 3
3. Every prime factor of y is also a prime factor of x.
1. This is true only for even number, but x and y can be odd too.
2. but y cannot be multiple of 3 and then factor of x for all cases e.g. X = 54 and Y = 15.
3. This is possible e.g. if we factor out a multiple of 6 say 18 = 2*3*3 and 9 = 3*3 , so factor of 9 included in 18. so option 3 is the answer.
I think you got the first option wrong my friend.
What the question wants to know is if x= a* y (where a is any number) they are asking if x is a factor of Y.
Now option one states that x/y=K which if you make simpler would look like x=Y*K which means both K and Y are factors of X.
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Regarding the option 1:
X/y=k where K is a positive INTEGER,
We can conclude that x is divisible by y, because the result is an INTEGER (K) , no matter whether x and y are both even or both odd.
So, option 1 is correct, right ?