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(1) If x=y and xy=100, then x=y=10. So, if the two positive numbers x and y are not equal, one must be smaller than 10 and the other one must be greater than 10. It is given that x<y, so necessarily x<10<y. Sufficient.
(2) Since we are given that x and y are positive, we can take the square root of all the sides in the given inequality and obtain x<10<y. Sufficient.
PhD in Applied Mathematics Love GMAT Quant questions and running.
Re: If x and y are positive, is x < 10 < y? [#permalink]
29 Jan 2013, 07:53
Option 2 is very clear.
Option 1 just drew a number line.
xy=100 Any combination of numbers say 5 X 20 or 4 X 25 etc can give me an 'x' greater than 10 as x should be less than y.
Probably this would be insufficient if x<y would not be given
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