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GMAT Data Sufficiency (DS) | Re: If x and y are both positive integers, x is a multiple of 3 and y is a

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zahraf wrote:

If x and y are both positive integers, x is a multiple of 3 and y is a multiple of 21, is xy a multiple of 75?

1) x is a multiple of 9.
2) y is a multiple of 25.


x & y are positive

x ==> is a multiple of 3

y ==> is a multiple of 21 or we can write multiple of \(7 * 3\)

Question ==> is xy multiple of 75 or we can write, is multiple of\(5 * 3 * 5\)

From these statement as we can see from above for any number to be multiple of 75, we will need two 5's and one 3
Lets check the options:

1) x is
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