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M31-10

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M31-10  [#permalink]

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New post 07 Jun 2015, 09:27
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (00:42) correct 15% (00:29) wrong based on 34 sessions

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If \(0 < x < 1 < y\), which of the following must be true?

A. \(1 < \frac{1}{x} < \frac{1}{y}\)
B. \(\frac{1}{x} < 1 < \frac{1}{y}\)
C. \(\frac{1}{x} < \frac{1}{y} < 1\)
D. \(\frac{1}{y} < 1 < \frac{1}{x}\)
E. \(\frac{1}{y} < \frac{1}{x} < 1\)

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Re M31-10  [#permalink]

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New post 07 Jun 2015, 09:27
1
Official Solution:

If \(0 < x < 1 < y\), which of the following must be true?

A. \(1 < \frac{1}{x} < \frac{1}{y}\)
B. \(\frac{1}{x} < 1 < \frac{1}{y}\)
C. \(\frac{1}{x} < \frac{1}{y} < 1\)
D. \(\frac{1}{y} < 1 < \frac{1}{x}\)
E. \(\frac{1}{y} < \frac{1}{x} < 1\)


Since \(0 < x < 1\), then \(0 < 1 < \frac{1}{x}\) (dividing by \(x\)) and since \(0 < 1 < y\), then \(0 < \frac{1}{y} < 1\) (dividing by \(y\)).

So, we have that \(0 < \frac{1}{y} < 1 < \frac{1}{x}\).


Answer: D
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Re: M31-10  [#permalink]

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New post 07 Sep 2015, 13:13
i picked numbers and this approach is way too time consuming. algebra here is elegant
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Re: M31-10  [#permalink]

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New post 17 Jul 2016, 10:10
I think this is a high-quality question and I agree with explanation. I solved by taking x = 1/2 and y = 2 but the method shown in official solution is superb and can be used in other questions as well to save time.
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Re: M31-10  [#permalink]

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New post 19 Mar 2018, 00:01
1
Bunuel wrote:
If \(0 < x < 1 < y\), which of the following must be true?

A. \(1 < \frac{1}{x} < \frac{1}{y}\)
B. \(\frac{1}{x} < 1 < \frac{1}{y}\)
C. \(\frac{1}{x} < \frac{1}{y} < 1\)
D. \(\frac{1}{y} < 1 < \frac{1}{x}\)
E. \(\frac{1}{y} < \frac{1}{x} < 1\)

hey can you please explain what is meant by 1 and can we take value as 0<x<1<y= 0<0.1<1<0.3 and 0<1<1<2
then no situation will give us answer please explain?
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Re: M31-10  [#permalink]

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New post 19 Mar 2018, 00:34
rishabhmishra wrote:
Bunuel wrote:
If \(0 < x < 1 < y\), which of the following must be true?

A. \(1 < \frac{1}{x} < \frac{1}{y}\)
B. \(\frac{1}{x} < 1 < \frac{1}{y}\)
C. \(\frac{1}{x} < \frac{1}{y} < 1\)
D. \(\frac{1}{y} < 1 < \frac{1}{x}\)
E. \(\frac{1}{y} < \frac{1}{x} < 1\)

hey can you please explain what is meant by 1 and can we take value as 0<x<1<y= 0<0.1<1<0.3 and 0<1<1<2
then no situation will give us answer please explain?


It was a formatting error. Edited. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Re: M31-10  [#permalink]

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New post 19 Mar 2018, 05:31
Bunuel wrote:
rishabhmishra wrote:
Bunuel wrote:
If \(0 < x < 1 < y\), which of the following must be true?

A. \(1 < \frac{1}{x} < \frac{1}{y}\)
B. \(\frac{1}{x} < 1 < \frac{1}{y}\)
C. \(\frac{1}{x} < \frac{1}{y} < 1\)
D. \(\frac{1}{y} < 1 < \frac{1}{x}\)
E. \(\frac{1}{y} < \frac{1}{x} < 1\)

hey can you please explain what is meant by 1 and can we take value as 0<x<1<y= 0<0.1<1<0.3 and 0<1<1<2
then no situation will give us answer please explain?


It was a formatting error. Edited. Thank you.

In this question i am not highlighting your error but i was solving this question in practice paper of gmat club and i made it incorrect and i seriously not able to understand from the solution so i asked you and by the way thanks for your kudos.
cheers!!!
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Re: M31-10 &nbs [#permalink] 19 Mar 2018, 05:31
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