GMAT PREP question

[priyankamishra11]

For this question is the only way is to put values??
I am not able any value which satisfy 2 eqation.
anyone?

[parallel_chase]

let x be 1/2

1/x= 2
2x= 1
x^2 =1/4

x^2 < 2x < 1/x

let x be 4/5

1/x=5/4
2x=8/5
x^2=16/25

x^2 < 1/x < 2x


Let me know if you still have any doubts.

[priyankamishra11]

Thanks again.. no doubt thats the answewr..
but Plugging numbers is the only way? I have to do hit and trial with numbers...
How did you figured out it should be 4/5 ?

[parallel_chase]

Thanks again.. no doubt thats the answewr..
but Plugging numbers is the only way? I have to do hit and trial with numbers...
How did you figured out it should be 4/5 ?

well you could plug in x as 6/7, 7/8, 8/9, and you will still get the same result.

My strategy here was to prove each statement wrong, this also works for DS.

This way I will try a number of options to prove each inequality wrong. If i get one option that fits the criteria then it could be true.

But in DS you have to be more careful. The statement should prove false or true in all the cases consistently.


Hope this helps.