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# Is x<1<y?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6407
GMAT 1: 760 Q51 V42
GPA: 3.82

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28 Mar 2017, 02:28
00:00

Difficulty:

75% (hard)

Question Stats:

59% (02:13) correct 41% (01:52) wrong based on 64 sessions

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Is x<1<y?

1) $$x<√x<y$$
2) $$x<√y<y$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6407 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Is x<1<y? [#permalink] ### Show Tags 30 Mar 2017, 02:16 ==> In the original condition, there are 2 variables (x,y) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. By solving con 1) and con 2), from x<√x, you get 0<x<1, and from √y<y, you get y>1. Then, you get x<1<y, hence always yes. The answer is C. Answer: C _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Intern
Joined: 15 Jun 2013
Posts: 47
Schools: Ivey '19 (I)
GMAT 1: 690 Q49 V35
GPA: 3.82
Re: Is x<1<y?  [#permalink]

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11 Apr 2017, 08:48
MathRevolution wrote:
Is x<1<y?

1) $$x<√x<y$$
2) $$x<√y<y$$

Please, help me: what is wrong with A?

if x<\sqrt{x} then x<1. and from x<\sqrt{x}<y we know that x<y. With the second statement everything clear- insufficient. So why not A?
Manager
Joined: 10 Apr 2015
Posts: 189
GPA: 3.31
Re: Is x<1<y?  [#permalink]

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11 Apr 2017, 09:45
1
Why not A ?
Ans:

x < root(x) < y

1/4 < 1/2 < 2 (possible) -> x<1 < y

1/4 < 1/2 < 2/3 (possible) -> x < 1 but y not >1

2 different results. Hence, not suff.

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Re: Is x<1<y? &nbs [#permalink] 11 Apr 2017, 09:45
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# Is x<1<y?

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