Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 23 May 2017, 21:29

### 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

# Inequality puzzle

Author Message
TAGS:

### Hide Tags

Manager
Joined: 04 Dec 2011
Posts: 80
Schools: Smith '16 (I)
Followers: 0

Kudos [?]: 25 [0], given: 13

### Show Tags

19 Dec 2011, 07:28
00:00

Difficulty:

(N/A)

Question Stats:

33% (01:27) correct 67% (00:24) wrong based on 6 sessions

### HideShow timer Statistics

If 5 < x < 10 and y = x + 5, what is the greatest possible integer value of x + y ?
(A) 18
(B) 20
(C) 23
(D) 24
(E) 25

I just want to know what is the flaw in my logic..? if i take maximum value of x to be 9 as per eq1 and from 2nd equation its 9+5=14.. i read the solution but somehow still not convinced with the answer..can someone help..??
[Reveal] Spoiler: OA

_________________

Life is very similar to a boxing ring.
Defeat is not final when you fall down…
It is final when you refuse to get up and fight back!

1 Kudos = 1 thanks
Nikhil

Intern
Joined: 31 Oct 2011
Posts: 46
Location: India
Followers: 0

Kudos [?]: 15 [0], given: 11

### Show Tags

19 Dec 2011, 07:50
nikhil007 wrote:
If 5 < x < 10 and y = x + 5, what is the greatest possible integer value of x + y ?
(A) 18
(B) 20
(C) 23
(D) 24
(E) 25

I just want to know what is the flaw in my logic..? if i take maximum value of x to be 9 as per eq1 and from 2nd equation its 9+5=14.. i read the solution but somehow still not convinced with the answer..can someone help..??

Multiply 2 for the inequality 10<2x<20

Add x on both sides : x+y= 2x+5

Max int value for 2x will be 19

so Max (x+y)=19+5=24

So ,D .....
_________________

Regards,
Rajesh
Helping hands are anytime better than praying hearts

Kudos ???!@#$$!!! I just love them Manager Joined: 04 Dec 2011 Posts: 80 Schools: Smith '16 (I) Followers: 0 Kudos [?]: 25 [0], given: 13 Re: Inequality puzzle [#permalink] ### Show Tags 19 Dec 2011, 08:40 I got the point..but i just want to know what was wrong with my logic..?? _________________ Life is very similar to a boxing ring. Defeat is not final when you fall down… It is final when you refuse to get up and fight back! 1 Kudos = 1 thanks Nikhil Intern Joined: 31 Oct 2011 Posts: 46 Location: India Followers: 0 Kudos [?]: 15 [0], given: 11 Re: Inequality puzzle [#permalink] ### Show Tags 19 Dec 2011, 08:57 nikhil007 wrote: I got the point..but i just want to know what was wrong with my logic..?? 5<x<10; max x =9 10<2x<20;max 2x =19(not 9*2=18)==> x=9.5 20<4x<40;max 4x=39 (not 19*2=38)==> x=19.5 Since this an inequality, we can take the value of x directly for y=x+5 . find the value of x+y means he is asking you to find: x+y=(max value of 2x)+5. The max value of 2x is 19 ...not 18 ... _________________ Regards, Rajesh Helping hands are anytime better than praying hearts Kudos ???!@#$$ !!! I just love them

Senior Manager
Joined: 13 May 2011
Posts: 313
WE 1: IT 1 Yr
WE 2: Supply Chain 5 Yrs
Followers: 21

Kudos [?]: 264 [0], given: 11

### Show Tags

19 Dec 2011, 10:28
The maximum Integer value for 2x is 19, since x is can be fraction and and is less than 10.
2x+5= 2*Less Than 10+ 5= Less than 25= 24
Senior Manager
Joined: 13 May 2011
Posts: 313
WE 1: IT 1 Yr
WE 2: Supply Chain 5 Yrs
Followers: 21

Kudos [?]: 264 [0], given: 11

### Show Tags

19 Dec 2011, 10:30
also your equation is X+5 NOT X+Y that the question have asked for.
Manager
Joined: 04 Dec 2011
Posts: 80
Schools: Smith '16 (I)
Followers: 0

Kudos [?]: 25 [0], given: 13

### Show Tags

19 Dec 2011, 10:47
silly me..i got the point now..well in that case max value for x =9 and y=9+5 =14 so x+Y should be 14+9=23...confused...???
_________________

Life is very similar to a boxing ring.
Defeat is not final when you fall down…
It is final when you refuse to get up and fight back!

1 Kudos = 1 thanks
Nikhil

Manager
Joined: 26 Apr 2011
Posts: 228
Followers: 2

Kudos [?]: 21 [0], given: 14

### Show Tags

20 Dec 2011, 05:55
x can take a fraction value so if i take x=9.5 then 2x =19
so x+y=x+x+5=19+5=24
Ans is D
Manager
Joined: 26 Apr 2011
Posts: 228
Followers: 2

Kudos [?]: 21 [0], given: 14

### Show Tags

20 Dec 2011, 05:56
x can take a fraction value so if i take x=9.5 then 2x =19
so x+y=x+x+5=19+5=24
Ans is D
Re: Inequality puzzle   [#permalink] 20 Dec 2011, 05:56
Similar topics Replies Last post
Similar
Topics:
14 A group of people were given 2 puzzles. 79% people solved puzzle X and 7 20 Feb 2017, 06:22
70 For what range of values of x will the inequality 22 25 Jul 2016, 06:01
56 Is (x + 1)/(x - 3) < 0 ? 25 29 Jan 2017, 05:37
1 number properties' puzzle (not proved?) 4 25 Oct 2010, 16:07
14 Which of the following inequalities is an algebraic 9 25 Mar 2014, 13:25
Display posts from previous: Sort by