Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 Oct 2014, 09:03

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Is the range of the integers 4, 7, x, 6, 5, y greater than 9

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
User avatar
Joined: 04 Feb 2012
Posts: 119
Location: India
GPA: 3.96
WE: Research (Pharmaceuticals and Biotech)
Followers: 2

Kudos [?]: 33 [0], given: 127

Is the range of the integers 4, 7, x, 6, 5, y greater than 9 [#permalink] New post 01 Sep 2013, 04:25
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

67% (01:53) correct 33% (00:44) wrong based on 66 sessions
Is the range of the integers 4, 7, x, 6, 5, y greater than 9 ?

(1)y > x^2
(2) 3 < x < y

Can someone explain, not satisfied with the explanation provided by TOTAL GMAT MATH, jeff sackmann!

Thanks
[Reveal] Spoiler: OA
Kaplan GMAT Prep Discount CodesKnewton GMAT Discount CodesVeritas Prep GMAT Discount Codes
Expert Post
1 KUDOS received
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 10 Oct 2012
Posts: 628
Followers: 43

Kudos [?]: 598 [1] , given: 135

Premium Member
Re: Is the range of the integers 4, 7, x, 6, 5, y greater than 9 [#permalink] New post 01 Sep 2013, 04:55
1
This post received
KUDOS
Expert's post
akhilright wrote:
Is the range of the integers 4, 7, x, 6, 5, y greater than 9 ?

(1) y > x^2
(2) 3 < x < y

Can someone explain, not satisfied with the explanation provided by TOTAL GMAT MATH, jeff sackmann!

Thanks


From F.S 1, for x=0,y=1, we have the range as : 7-0 = 7<9. Thus, a NO. Again, for x=4,y=17, we have the range as 17-4 = 13>9. Thus a YES. Insufficient.

From F.S 2, the minimum value of x=4. Thus, just as above, for x=4,y=17, the range is 13,a YES. And, for x=4,y=5, the range is 7-4 = 3<9. Thus a NO. Insufficient.

Taking both together, we know that x is atleast 4, and thus, y>16. Thus, y is atleast 17, and the range is atleast = 17-4 = 13(Which is greater than 9). Sufficient.

C.

BTW, an inspired question from the OG.
_________________

All that is equal and not-Deep Dive In-equality

Hit and Trial for Integral Solutions

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23409
Followers: 3613

Kudos [?]: 28897 [1] , given: 2871

Re: Is the range of the integers 4, 7, x, 6, 5, y greater than 9 [#permalink] New post 01 Sep 2013, 04:57
1
This post received
KUDOS
Expert's post
Is the range of the integers 4, 7, x, 6, 5, y greater than 9 ?

The range of a set is the difference between the largest and smallest elements of the set.

(1) y > x^2. Clearly insufficient. If y=4 and x=0, then the range is 7-0=7<9 but if y=100 and y=0, the the range is 100-0=100>9. Not sufficient.

(2) 3 < x < y. Also insufficient. Consider (x, y)=(4, 5) and (x, y)=(4, 100).

(1)+(2) Since x is an integer greater than 3, then the leas value of x is 4 (and the least value of x^2 is 16). From (1) we have that y > x^2, so the least value of y is 17, which mean that the least value of the range is 17-4=13>9. Sufficient.

Answer: C.

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
User avatar
Joined: 04 Feb 2012
Posts: 119
Location: India
GPA: 3.96
WE: Research (Pharmaceuticals and Biotech)
Followers: 2

Kudos [?]: 33 [0], given: 127

Re: Is the range of the integers 4, 7, x, 6, 5, y greater than 9 [#permalink] New post 01 Sep 2013, 19:30
Thank you mau5 and Bunuel !
Re: Is the range of the integers 4, 7, x, 6, 5, y greater than 9   [#permalink] 01 Sep 2013, 19:30
    Similar topics Author Replies Last post
Similar
Topics:
3 Experts publish their posts in the topic Is the range of the integers 6, 3, y, 4, 5, and x greater Bunuel 4 25 Jun 2012, 02:03
Experts publish their posts in the topic Is the range of the integers 6, 3, y, 4, 5, and x greater th TomB 1 05 Mar 2012, 13:39
1 If set s={7,y,12,8,,x,9} is x+y less than 18? 1.range of set AnkitK 2 23 Mar 2011, 23:50
3 Experts publish their posts in the topic S = { w , x , y, z } , is the range of S greater than 5 1 - rxs0005 5 26 Sep 2010, 08:27
1 Experts publish their posts in the topic Is the range of integers 6, 3, y, 4, 5, and x greater than jimmyjamesdonkey 5 20 Apr 2008, 11:12
Display posts from previous: Sort by

Is the range of the integers 4, 7, x, 6, 5, y greater than 9

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.