It is currently 23 Jun 2017, 21:20

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 04 Feb 2012
Posts: 131
Location: India
GPA: 3.96
WE: Research (Pharmaceuticals and Biotech)
Is the range of the integers 4, 7, x, 6, 5, y greater than 9 [#permalink]

### Show Tags

01 Sep 2013, 05:25
1
KUDOS
1
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

65% (01:58) correct 35% (01:05) wrong based on 108 sessions

### HideShow timer Statistics

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
Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 629
Re: Is the range of the integers 4, 7, x, 6, 5, y greater than 9 [#permalink]

### Show Tags

01 Sep 2013, 05:55
1
KUDOS
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.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 39622
Re: Is the range of the integers 4, 7, x, 6, 5, y greater than 9 [#permalink]

### Show Tags

01 Sep 2013, 05:57
1
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.

Hope it's clear.
_________________
Manager
Joined: 04 Feb 2012
Posts: 131
Location: India
GPA: 3.96
WE: Research (Pharmaceuticals and Biotech)
Re: Is the range of the integers 4, 7, x, 6, 5, y greater than 9 [#permalink]

### Show Tags

01 Sep 2013, 20:30
Thank you mau5 and Bunuel !
BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2185
Re: Is the range of the integers 4, 7, x, 6, 5, y greater than 9 [#permalink]

### Show Tags

21 Dec 2016, 21:43
Excellent Question.
Here is what i did in this one =>

We need to check if the range is always greater than 9.

Statement 1-->
x=1
y=2
NO
x=1
y=100
YES
Not sufficient

Statement 2=>
x=4
y=5
NO
x=4
y=100
YES
Not sufficient

Combining the two statements =>
Least range = 17-4 = 13
Hence the range is always greater than 9
Hence Sufficient
Hence C

_________________

Give me a hell yeah ...!!!!!

Re: Is the range of the integers 4, 7, x, 6, 5, y greater than 9   [#permalink] 21 Dec 2016, 21:43
Similar topics Replies Last post
Similar
Topics:
Is y an integer greater than 7? 4 27 Feb 2017, 18:02
19 Is the range of the integers 6, 3, y, 4, 5, and x greater 7 03 Nov 2016, 06:49
5 Is the range of the integers 6, 3, y, 4, 5, and x greater th 8 20 Aug 2016, 09:55
4 S = { w , x , y, z } , is the range of S greater than 5 1 - 6 23 Aug 2016, 04:08
6 Is the range of integers 6, 3, y, 4, 5, and x greater than 5 21 Oct 2014, 01:13
Display posts from previous: Sort by