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If the ratio of goblins to witches in New Orleans is 5 to 3, which of

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Bunuel
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If the ratio of goblins to witches in New Orleans is 5 to 3, which of [#permalink] New post   11 Jan 2019, 00:39
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If the ratio of goblins to witches in New Orleans is 5 to 3, which of the following could not be the number of goblins and witches in the city?

A. 32
B. 36
C. 40
D. 48
E. 56
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B
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Re: If the ratio of goblins to witches in New Orleans is 5 to 3, which of [#permalink] New post   11 Jan 2019, 00:44
OA is B.

It should be a multiple of 8 as 3c+5c=8c and the only number which is not a multiple of 8 is 36.

Bunuel wrote:
If the ratio of goblins to witches in New Orleans is 5 to 3, which of the following could not be the number of goblins and witches in the city?

A. 32
B. 36
C. 40
D. 48
E. 56
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Re: If the ratio of goblins to witches in New Orleans is 5 to 3, which of [#permalink] New post   11 Jan 2019, 00:50
Bunuel wrote:
If the ratio of goblins to witches in New Orleans is 5 to 3, which of the following could not be the number of goblins and witches in the city?

A. 32
B. 36
C. 40
D. 48
E. 56



Total must be divisible by the sum of the ratio.

Option B. 36.
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Re: If the ratio of goblins to witches in New Orleans is 5 to 3, which of [#permalink] New post   11 Jan 2019, 01:00
my answer is B ie 36.

The question clearly states the sum should be a multiple of 8
the only option, not a multiple of 8 is 36.

Hence B
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Re: If the ratio of goblins to witches in New Orleans is 5 to 3, which of [#permalink] New post   11 Jan 2019, 03:10
Bunuel wrote:
If the ratio of goblins to witches in New Orleans is 5 to 3, which of the following could not be the number of goblins and witches in the city?

A. 32
B. 36
C. 40
D. 48
E. 56



goblins ; 5x/8 and witches 3x/8

so value of x must be factor of 8
from given option 36 is not correct
IMO B
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Re: If the ratio of goblins to witches in New Orleans is 5 to 3, which of [#permalink]
11 Jan 2019, 03:10
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