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A number of individuals volunteer to walk dogs at a certain

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A number of individuals volunteer to walk dogs at a certain

by BTGmoderatorDC » Sun May 19, 2019 6:04 am

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A number of individuals volunteer to walk dogs at a certain kennel this afternoon. The kennel's dogs number between 43 and 47, inclusive. If each dog is walked by only one volunteer this afternoon, can the dogs be divided equally among the volunteers?

(1) More than 5 individuals volunteer to walk the dogs.

(2) Fewer than 8 individuals volunteer to walk the dogs.

OA C

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by Ian Stewart » Sun May 19, 2019 9:24 am

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If we have d dogs, and v volunteers, we just want to know if d is divisible by v.

Statement 1 is not sufficient, because we could have 45 dogs, and 7 volunteers, and the answer is 'no', or 45 dogs and 9 volunteers, and the answer is 'yes'.

Statement 2 is not sufficient because we could have 45 dogs and 7 volunteers, and the answer is 'no', or 45 dogs and 3 volunteers, and the answer is 'yes'.

Using both statements, we have either 6 or 7 volunteers. Since there are no multiples of either 6 or 7 between 43 and 47 inclusive, it won't be possible to divide the dogs equally among the volunteers. So the answer to the question must be 'no', and we have sufficient information - so C is the answer.
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