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If x and y are positive integers, then what is the least val

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by BTGmoderatorAT » Sun Mar 11, 2018 4:30 am
If x and y are positive integers, then what is the least value x*y?

(1) x divided by y leaves a remainder 10.
(2) 10<x<12 ; 9<y<20

What's the best way to determine whether statement 1 is sufficient? Can any experts explain?
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Mon Mar 12, 2018 5:19 am
ardz24 wrote:If x and y are positive integers, then what is the least value x*y?

(1) x divided by y leaves a remainder 10.
(2) 10<x<12 ; 9<y<20

What's the best way to determine whether statement 1 is sufficient? Can any experts explain?
Given x and y are positive integers, and x divided by y leaves a remainder 10, x < y. The minimum value of x = 10 and y = 11. See that x/y = 10/11; remainder = 10. The minimum value of x*y = 10*11 = 110.

Hope this helps!

-Jay
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