If x and y are positive integers, and y = x^3, does x = y?

Question

(1) y is a factor of x.

(2) x is a multiple of y.

msk0657 · Answer

NOTE : x is divisible by y means  y is a factor of x  and  x is a multiple of y .

Given y = x^3.

Then we can't take 0 here..as it is mentioned we need to take only positive... We can take 1,2.......

Stat 1: let's take y = 8 and x = 2 only then the stem satisfies... then we can't say 8 is a factor of 2...but 2 is a factor 8...

If we take y = 27 and x = 3...then we can't say 27 is a factor of 3...but 3 is a factor 27...

When we take only y and x = 1 then stem satisfies...Sufficient.

Stat 2: same as above.

let's take y = 8 and x = 2 only then the stem satisfies...then 2 is divisible by 8 is incorrect...it has to be 8 is divisible by 2..

only x = y = 1 condition satisfies...Sufficient.

IMO option D.

Karthic26 · Answer

Is the answer option D. Here y is factor of X, as Y=X^3 then every X should have atleast 1 Y, as options A and B mean the same Y is a factor of X and X is multiple of Y 
Y/X=I 
where Y is dividend and X is divisor and I is an integer

yezz · Answer

from stem question becomes

is x^3 = x , i.e. is (x-1) (x) (x+1) = 0 , is x = 1?? ( 3 consecutive intigers and x is +ve) thus the only way for x^3 to equal x is that x = 1

from 1 : X = m*x^3 , m , X are all +ve integers ... thus x/x^3 is a +ve integer only possible is x = 1... suff

from 1: x^3= x*n ... n, x is +ve integer . thus x^2 = n .... insuff

I d say A

Ophelia__ · Answer

Given x and y are positive integers, and y = x^3,

The statement can be translated into:

(1) x^3 is a factor of x.

(2) x is a multiple of x^3

Then its pretty straight forward to see D is correct

Yvo · Answer

Agree with the statement above

If x and y are positive integers, and y = x^3, does x = y?

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GMAT Data Sufficiency (DS) Questions

If x and y are positive integers, and y = x^3, does x = y?

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