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# An eccentric casino owner decides that his casino should

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Director
Joined: 03 Aug 2012
Posts: 899

Kudos [?]: 910 [1], given: 322

Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
An eccentric casino owner decides that his casino should [#permalink]

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19 Mar 2013, 00:12
1
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1
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Difficulty:

15% (low)

Question Stats:

78% (01:08) correct 22% (01:05) wrong based on 134 sessions

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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
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Last edited by Bunuel on 19 Mar 2013, 00:26, edited 1 time in total.
Edited the question.

Kudos [?]: 910 [1], given: 322

Director
Joined: 03 Aug 2012
Posts: 899

Kudos [?]: 910 [0], given: 322

Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Re: An eccentric casino owner decides [#permalink]

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19 Mar 2013, 00:13
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
_____________________________________________________________________________

Kudos [?]: 910 [0], given: 322

Math Expert
Joined: 02 Sep 2009
Posts: 42248

Kudos [?]: 132507 [0], given: 12323

Re: An eccentric casino owner decides [#permalink]

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19 Mar 2013, 00:33
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

Hope it's clear.
_________________

Kudos [?]: 132507 [0], given: 12323

Non-Human User
Joined: 09 Sep 2013
Posts: 15703

Kudos [?]: 281 [0], given: 0

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

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23 Jun 2015, 02:38
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).

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Kudos [?]: 281 [0], given: 0

Manager
Joined: 03 Aug 2015
Posts: 64

Kudos [?]: 8 [0], given: 219

Concentration: Strategy, Technology
Schools: ISB '18, SPJ GMBA '17
GMAT 1: 680 Q48 V35
Re: An eccentric casino owner decides that his casino should [#permalink]

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09 Jul 2016, 13:20
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

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

Kudos [?]: 8 [0], given: 219

Math Expert
Joined: 02 Sep 2009
Posts: 42248

Kudos [?]: 132507 [0], given: 12323

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

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09 Jul 2016, 23:30
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

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.
_________________

Kudos [?]: 132507 [0], given: 12323

Re: An eccentric casino owner decides that his casino should   [#permalink] 09 Jul 2016, 23:30
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