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Bunuel
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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

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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Bunuel
targetgmatchotu
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.
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