Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44647

If x^3 > y^2 > z, which of the statements could be true? [#permalink]
Show Tags
15 Jul 2015, 03:03
1
This post received KUDOS
Expert's post
7
This post was BOOKMARKED
Question Stats:
64% (01:37) correct 36% (03:25) wrong based on 206 sessions
HideShow timer Statistics



Current Student
Joined: 20 Mar 2014
Posts: 2652
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: If x^3 > y^2 > z, which of the statements could be true? [#permalink]
Show Tags
15 Jul 2015, 04:17
1
This post received KUDOS
Bunuel wrote: If x^3 > y^2 > z, which of the statements could be true?
I. x < y < z II. x < z < y III. y < x < z
A. I only B. III only C. I and II only D. II and III only E. I, II and III
Kudos for a correct solution. For proving statement 1, x =4 , y=7 , z=9 > x^3 > y^2 > z and x < y < z . Thus this statement could be true. > eliminate B and D for proving statement 3, x=7, y =4, z=9 > x^3 > y^2 > z and y < x < z. Thus this statement could be true > eliminate A and C Correct answer is E



SVP
Joined: 08 Jul 2010
Posts: 2067
Location: India
GMAT: INSIGHT
WE: Education (Education)

If x^3 > y^2 > z, which of the statements could be true? [#permalink]
Show Tags
15 Jul 2015, 04:56
Bunuel wrote: If x^3 > y^2 > z, which of the statements could be true?
I. x < y < z II. x < z < y III. y < x < z
A. I only B. III only C. I and II only D. II and III only E. I, II and III
Kudos for a correct solution. The best strategy in such questions is to check one of the conditions with values and eliminate options based on its validityGiven : x^3 > y^2 > zI. x < y < z is true for x=3, y=4, z=5 i.e. Answers can only be Options A, C or EII. x < z < y is true for x=3, y=5, z=4 i.e. Answers can only be Options C or EIII. y < x < z is true for x=4, y=3, z=5 i.e. Answers can only be Options EAnswer: option E
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Math Expert
Joined: 02 Sep 2009
Posts: 44647

Re: If x^3 > y^2 > z, which of the statements could be true? [#permalink]
Show Tags
19 Jul 2015, 12:43
Bunuel wrote: If x^3 > y^2 > z, which of the statements could be true?
I. x < y < z II. x < z < y III. y < x < z
A. I only B. III only C. I and II only D. II and III only E. I, II and III
Kudos for a correct solution. 800score Official Solution:Choice I is possible: x = 3, y = 4, z = 5 Choice II is possible: x = 3, y = 5, z = 4 Choice III is possible: x = 4, y = 3, z = 6 The correct answer is E.
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Current Student
Joined: 14 May 2014
Posts: 44
GPA: 3.11

If x^3 > y^2 > z, which of the statements could be true? [#permalink]
Show Tags
23 Jul 2015, 06:04
GMATinsight wrote: Bunuel wrote: If x^3 > y^2 > z, which of the statements could be true?
I. x < y < z II. x < z < y III. y < x < z
A. I only B. III only C. I and II only D. II and III only E. I, II and III
Kudos for a correct solution. The best strategy in such questions is to check one of the conditions with values and eliminate options based on its validityGiven : x^3 > y^2 > zI. x < y < z is true for x=3, y=4, z=5 i.e. Answers can only be Options A, C or EII. x < z < y is true for x=3, y=5, z=4 i.e. Answers can only be Options C or EIII. y < x < z is true for x=4, y=3, z=5 i.e. Answers can only be Options EAnswer: option E I am finding it difficult to come up with nos for number picking...? any tips..?



SVP
Joined: 08 Jul 2010
Posts: 2067
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: If x^3 > y^2 > z, which of the statements could be true? [#permalink]
Show Tags
23 Jul 2015, 06:18
riyazgilani wrote: GMATinsight wrote: Bunuel wrote: If x^3 > y^2 > z, which of the statements could be true?
I. x < y < z II. x < z < y III. y < x < z
A. I only B. III only C. I and II only D. II and III only E. I, II and III
Kudos for a correct solution. The best strategy in such questions is to check one of the conditions with values and eliminate options based on its validityGiven : x^3 > y^2 > zI. x < y < z is true for x=3, y=4, z=5 i.e. Answers can only be Options A, C or EII. x < z < y is true for x=3, y=5, z=4 i.e. Answers can only be Options C or EIII. y < x < z is true for x=4, y=3, z=5 i.e. Answers can only be Options EAnswer: option E I am finding it difficult to come up with nos for number picking...? any tips..? Tips:1) Try the Positive Integer Values starting from the smallest value. Checking Bigger values might make it more difficult for you so check smaller values first. 2) Try the Negative Integer Values starting from the smallest Absolute values i.e. (1, 2, 3 etc) 3) Try the Values in the range 0 to 1 and pick easier Numbers (e.g. 1/2, 1/3) in case you have to take square root of values then pick numbers like 1/4, 1/9 etc. Check the similar value in the Values of Negative Range i.e. 0 to (1) Summary: The values should be checked in the following 4 ranges Between 0 and 1 Between 0 and 1 Greater than +1 Less than 1 and Don't forget to check at zero if the Scenario requires it. Practice applying them in questions and in some time you will understand the best values to pick for specific cases I hope it Helps
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Intern
Joined: 24 Jun 2013
Posts: 11
Location: India
Concentration: General Management, Economics
GPA: 3.2
WE: Information Technology (Consulting)

Re: If x^3 > y^2 > z, which of the statements could be true? [#permalink]
Show Tags
06 Dec 2017, 06:49
Choosing and comparing values for x, y, z could be easier if we represent the values in the number line as in the attachment. Clearly option E.
Attachments
Capture.JPG [ 16.6 KiB  Viewed 357 times ]




Re: If x^3 > y^2 > z, which of the statements could be true?
[#permalink]
06 Dec 2017, 06:49






