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Of 60 birds found in a certain location, 20 are songbirds an

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GMAT Club Legend
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Of 60 birds found in a certain location, 20 are songbirds an [#permalink] New post 05 Aug 2018, 14:56
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Question Stats:

63% (01:45) correct 36% (00:38) wrong based on 11 sessions
Of 60 birds found in a certain location, 20 are songbirds and 23 are migratory. (It is possible for a songbird to be either migratory or not migratory.)

Quantity A
Quantity B
The number of the 60 birds that are neither migratory nor songbirds
16


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Of 60 birds found in a certain location, 20 are songbirds an [#permalink] New post 11 Aug 2018, 13:06
We know there are a total of 60 birds. We further know that 20 are songbirds, and 23 are migratory. Let's assume that no songbirds are migratory, as that would minimize the number of birds who are neither migratory nor songbirds.

Then we have:

Total = Songbirds + Migratory - Both + Neither

60 = 20 + 23 - 0 + Neither

60 = 43 + Neither

17 = Neither

So there is a minimum of 17 birds that are neither songbirds nor migratory birds. So the answer is A.
GMAT Club Legend
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Re: Of 60 birds found in a certain location, 20 are songbirds an [#permalink] New post 23 Aug 2018, 07:49
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Explanation

It is not possible to solve for a single value for Quantity A, but it is possible to tell that Quantity A will always be greater than 16. Since 20 birds are songbirds and 23 are migratory, the total of these groups is 43, which is less than 60. It is possible for the overlap (the number of migratory songbirds) to be as little as 0, which would result in 20 songbirds, 23 non-songbird migratory birds, and 60 – 20 – 23 = 17 birds that are neither songbirds nor migratory.


It is also possible that there could be as many as 20 birds that overlap the two categories. (Find this figure by taking the number of birds in the smaller group; in this case, there are 20 songbirds). In the case that there are 20 migratory songbirds, there would also be 3 migratory birds that are not songbirds, in which case there would be 60 – 20 – 3 = 37 birds that are neither migratory nor songbirds.


Thus, the number of birds that are neither migratory nor songbirds is at least 17 and at most 37. No matter where in the range that number may be, it is greater than Quantity B, which is only 16.
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Re: Of 60 birds found in a certain location, 20 are songbirds an   [#permalink] 23 Aug 2018, 07:49
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