Inequality puzzle : GMAT Problem Solving (PS)
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# Inequality puzzle

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Manager
Joined: 04 Dec 2011
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19 Dec 2011, 06:28
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Question Stats:

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

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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

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Nikhil

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19 Dec 2011, 06:50
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 .....
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Regards,
Rajesh
Helping hands are anytime better than praying hearts

Kudos ???!@#$$!!! I just love them Manager Joined: 04 Dec 2011 Posts: 81 Schools: Smith '16 (I) Followers: 0 Kudos [?]: 25 [0], given: 13 Re: Inequality puzzle [#permalink] ### Show Tags 19 Dec 2011, 07:40 I got the point..but i just want to know what was wrong with my logic..?? _________________ Life is very similar to a boxing ring. Defeat is not final when you fall down… It is final when you refuse to get up and fight back! 1 Kudos = 1 thanks Nikhil Intern Joined: 31 Oct 2011 Posts: 47 Location: India Followers: 0 Kudos [?]: 15 [0], given: 11 Re: Inequality puzzle [#permalink] ### Show Tags 19 Dec 2011, 07:57 nikhil007 wrote: I got the point..but i just want to know what was wrong with my logic..?? 5<x<10; max x =9 10<2x<20;max 2x =19(not 9*2=18)==> x=9.5 20<4x<40;max 4x=39 (not 19*2=38)==> x=19.5 Since this an inequality, we can take the value of x directly for y=x+5 . find the value of x+y means he is asking you to find: x+y=(max value of 2x)+5. The max value of 2x is 19 ...not 18 ... _________________ Regards, Rajesh Helping hands are anytime better than praying hearts Kudos ???!@#$$ !!! I just love them

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19 Dec 2011, 09:28
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
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WE 2: Supply Chain 5 Yrs
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19 Dec 2011, 09:30
also your equation is X+5 NOT X+Y that the question have asked for.
Manager
Joined: 04 Dec 2011
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19 Dec 2011, 09:47
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

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20 Dec 2011, 04:55
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
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20 Dec 2011, 04:56
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, 04:56
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