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Of 60 birds found in a certain location, 20 are songbirds an [#permalink]
05 Aug 2018, 14:56
Question Stats:
67% (01:16) correct
32% (01:17) wrong based on 64 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.
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Re: Of 60 birds found in a certain location, 20 are songbirds an [#permalink]
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.



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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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ExplanationIt 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 nonsongbird 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]
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]
07 Jan 2019, 00:13
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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Some useful Theory. 1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressionsarithmeticgeometricandharmonic11574.html#p27048 2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effectsofarithmeticoperationsonfractions11573.html?sid=d570445335a783891cd4d48a17db9825 3. Remainders : https://greprepclub.com/forum/remainderswhatyoushouldknow11524.html 4. Number properties : https://greprepclub.com/forum/numberpropertyallyourequire11518.html 5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolutemodulusabetterunderstanding11281.html



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




Re: Of 60 birds found in a certain location, 20 are songbirds an
[#permalink]
26 Aug 2019, 13:11





