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An eccentric casino owner decides that his casino should

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

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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

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Last edited by Bunuel on 19 Mar 2013, 00:26, edited 1 time in total.
Edited the question.
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Joined: 03 Aug 2012
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GMAT 1: 630 Q47 V29
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Re: An eccentric casino owner decides [#permalink]

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New post 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?
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Re: An eccentric casino owner decides [#permalink]

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New post 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

Answer: D.

Hope it's clear.
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Re: An eccentric casino owner decides that his casino should [#permalink]

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New post 23 Jun 2015, 02:38
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Re: An eccentric casino owner decides that his casino should [#permalink]

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New post 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

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

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New post 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

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.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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