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

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sandy
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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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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.
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A
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Romang67
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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
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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.
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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] New post   06 Jan 2019, 23:23
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When you see a problem like this, make a table

forgive the crappy image, Im super new to this kind of stuff, the top table is supposed to be on the bottom
but we see here, if you just put the numbers where they belong, and place x anywhere on the table really, youll see that the
number of birds that are neither migratory or songbirds is 17+x, which means the minimum value is 17
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Re: Of 60 birds found in a certain location, 20 are songbirds an [#permalink] New post   07 Jan 2019, 00:13
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sandy wrote:
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.



Total birds = 60..
1) songbirds - 20, so NOT songbirds = 60 - 20 = 40.
2) Migratory - 23, so NOT Migratory = 60 - 23 = 37.

A = birds that are neither migratory nor songbirds
Maximum is when all NOT migratory are NOT songbirds, so 37
Minimum is when none of migratory are songbirds, so 60 - 20 - 23 = 60 - 43 = 17
Thus A>B

A
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Re: Of 60 birds found in a certain location, 20 are songbirds an [#permalink] New post   26 Aug 2019, 13:11
HappyMathtutor wrote:
When you see a problem like this, make a table

forgive the crappy image, Im super new to this kind of stuff, the top table is supposed to be on the bottom
but we see here, if you just put the numbers where they belong, and place x anywhere on the table really, youll see that the
number of birds that are neither migratory or songbirds is 17+x, which means the minimum value is 17


Nice
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Re: Of 60 birds found in a certain location, 20 are songbirds an [#permalink] New post   26 Jul 2022, 05:51
HappyMathtutor wrote:
When you see a problem like this, make a table

forgive the crappy image, Im super new to this kind of stuff, the top table is supposed to be on the bottom
but we see here, if you just put the numbers where they belong, and place x anywhere on the table really, youll see that the
number of birds that are neither migratory or songbirds is 17+x, which means the minimum value is 17


Thank you so much :)
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Re: Of 60 birds found in a certain location, 20 are songbirds an [#permalink] New post   13 Aug 2024, 00:05
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Of 60 birds found in a certain location, 20 are songbirds an [#permalink]
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