An eccentric casino owner decides that his casino should : GMAT Problem Solving (PS)
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# An eccentric casino owner decides that his casino should

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Director
Joined: 03 Aug 2012
Posts: 916
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Followers: 23

Kudos [?]: 692 [1] , given: 322

An eccentric casino owner decides that his casino should [#permalink]

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18 Mar 2013, 23:12
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An eccentric casino owner decides that his casino should only use chips in $5 and$7 denominations. Which of the following amount cannot be paid out using these chips?

A. $31 B.$29
C. $26 D.$23
E. $21 [Reveal] Spoiler: OA _________________ Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________ Last edited by Bunuel on 18 Mar 2013, 23:26, edited 1 time in total. Edited the question. Director Joined: 03 Aug 2012 Posts: 916 Concentration: General Management, General Management GMAT 1: 630 Q47 V29 GMAT 2: 680 Q50 V32 GPA: 3.7 WE: Information Technology (Investment Banking) Followers: 23 Kudos [?]: 692 [0], given: 322 Re: An eccentric casino owner decides [#permalink] ### Show Tags 18 Mar 2013, 23:13 I have a query in this question? As there it is not mentioned that there can be no chips for particular denomination. Eqn: 5x + 7y My query is can we have either x = 0 or y=0 or both? _________________ Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________ Math Expert Joined: 02 Sep 2009 Posts: 36568 Followers: 7081 Kudos [?]: 93224 [0], given: 10553 Re: An eccentric casino owner decides [#permalink] ### Show Tags 18 Mar 2013, 23:33 targetgmatchotu wrote: An eccentric casino owner decides that his casino should only use chips in$5 and $7 denominations. Which of the following amount cannot be paid out using these chips? A.$31
B. $29 C.$26
D. $23 E.$21

I have a query in this question?

As there it is not mentioned that there can be no chips for particular denomination.

Eqn: 5x + 7y

My query is can we have either x = 0 or y=0 or both?

Yes, the number of 5 or/and 7 dollar chips can be zero, however both being zero mean that the casino is paying out $0, which is not realistic. Each option but D can be represented as the sum of a multiple of 5 and a multiple of 7: A.$31 = 7*3 + 5*2
B. $29 = 7*2 + 5*3 C.$26 = 7*3 + 5*1
E. $21 = 7*3 Answer: D. Hope it's clear. _________________ GMAT Club Legend Joined: 09 Sep 2013 Posts: 13459 Followers: 575 Kudos [?]: 163 [0], given: 0 Re: An eccentric casino owner decides that his casino should [#permalink] ### Show Tags 23 Jun 2015, 01:38 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Manager Joined: 03 Aug 2015 Posts: 64 Concentration: Strategy, Technology Schools: ISB '18, SPJ GMBA '17 GMAT 1: 680 Q48 V35 Followers: 1 Kudos [?]: 7 [0], given: 204 Re: An eccentric casino owner decides that his casino should [#permalink] ### Show Tags 09 Jul 2016, 12:20 Bunuel wrote: targetgmatchotu wrote: An eccentric casino owner decides that his casino should only use chips in$5 and $7 denominations. Which of the following amount cannot be paid out using these chips? A.$31
B. $29 C.$26
D. $23 E.$21

I have a query in this question?

As there it is not mentioned that there can be no chips for particular denomination.

Eqn: 5x + 7y

My query is can we have either x = 0 or y=0 or both?

Yes, the number of 5 or/and 7 dollar chips can be zero, however both being zero mean that the casino is paying out $0, which is not realistic. Each option but D can be represented as the sum of a multiple of 5 and a multiple of 7: A.$31 = 7*3 + 5*2
B. $29 = 7*2 + 5*3 C.$26 = 7*3 + 5*1
E. $21 = 7*3 Answer: D. Hope it's clear. Bunel, I understood the above explanation. But is there is any other logic we can use to get the answer quick? Thanks, Arun Math Expert Joined: 02 Sep 2009 Posts: 36568 Followers: 7081 Kudos [?]: 93224 [0], given: 10553 Re: An eccentric casino owner decides that his casino should [#permalink] ### Show Tags 09 Jul 2016, 22:30 ArunpriyanJ wrote: Bunuel wrote: targetgmatchotu wrote: An eccentric casino owner decides that his casino should only use chips in$5 and $7 denominations. Which of the following amount cannot be paid out using these chips? A.$31
B. $29 C.$26
D. $23 E.$21

I have a query in this question?

As there it is not mentioned that there can be no chips for particular denomination.

Eqn: 5x + 7y

My query is can we have either x = 0 or y=0 or both?

Yes, the number of 5 or/and 7 dollar chips can be zero, however both being zero mean that the casino is paying out $0, which is not realistic. Each option but D can be represented as the sum of a multiple of 5 and a multiple of 7: A.$31 = 7*3 + 5*2
B. $29 = 7*2 + 5*3 C.$26 = 7*3 + 5*1
E. $21 = 7*3 Answer: D. Hope it's clear. Bunel, I understood the above explanation. But is there is any other logic we can use to get the answer quick? Thanks, Arun Trial and error is pretty much the only way to solve this question. _________________ Re: An eccentric casino owner decides that his casino should [#permalink] 09 Jul 2016, 22:30 Similar topics Replies Last post Similar Topics: 8 The Full House Casino is running a new promotion. Each 11 27 Sep 2012, 11:41 18 A store owner decided to raise the price of a particular 19 10 Mar 2012, 23:04 18 A gambler bought$3,000 worth of chips at a casino in 9 25 Feb 2012, 21:23
3 A slot machine in a Las Vegas casino has an average profit of \$600 for 5 26 Feb 2011, 09:45
8 The owner of an art shop conducts his business in the follow 8 21 Nov 2010, 05:24
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