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Of 60 birds found in a certain location, 20 are songbirds an
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05 Aug 2018, 14:56
05 Aug 2018, 14:56
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Question Stats:
68% (01:27) correct
31% (01:26) wrong based on 145 sessions
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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.)
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.
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.
Re: Of 60 birds found in a certain location, 20 are songbirds an
[#permalink]
11 Aug 2018, 13:06
11 Aug 2018, 13:06
1
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.
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.
Re: Of 60 birds found in a certain location, 20 are songbirds an
[#permalink]
23 Aug 2018, 07:49
23 Aug 2018, 07:49
3
Expert Reply
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.
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.
