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The total number of recording titles distributed by music d
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06 Mar 2018, 15:34
06 Mar 2018, 15:34
Expert Reply
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Question Stats:
61% (01:58) correct
38% (02:19) wrong based on 88 sessions
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The total number of recording titles distributed by music distributors L and M is 9,300. The number of recording titles distributed by L is 7,100, and the number of recording titles distributed by M is 5,200. Which of the following statements must be true?
Indicate \(all\) such statements.
A More than half of the titles distributed by L are also distributed by M.
B More than half of the titles distributed by M are also distributed by L.
C No titles are distributed by both L and M.
Kudos to the right solution and explanation
Indicate \(all\) such statements.
A More than half of the titles distributed by L are also distributed by M.
B More than half of the titles distributed by M are also distributed by L.
C No titles are distributed by both L and M.
Kudos to the right solution and explanation
Re: The total number of recording titles distributed by music d
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06 Mar 2018, 19:50
06 Mar 2018, 19:50
3
Expert Reply
This problem can be easily solved using an overlapping sets table. Unfortunately they are very hard to depict by typing and we're not allowed to post pictures. Fortunately this problem can be solved in a different way as well.
If 7,100 titles are distributed by L and 5,200 are distributed by M, but the grand total is 9,300, we should figure out the overlap. Adding 7,100 and 5,200 gets us a total of 12,300, which is exactly 3,000 more than the total we've been told. Therefore there must be an overlap of 3,000 titles.
A. If half the titles distributed by L totals 3,550, but the overlap is 3,000, then A is not true.
B. If half the titles distributed by M totals 2,600, and the overlap is 3,000, then B is true.
C. This is obviously not true since we've proven that 3,000 titles are sold by both.
_________________
If 7,100 titles are distributed by L and 5,200 are distributed by M, but the grand total is 9,300, we should figure out the overlap. Adding 7,100 and 5,200 gets us a total of 12,300, which is exactly 3,000 more than the total we've been told. Therefore there must be an overlap of 3,000 titles.
A. If half the titles distributed by L totals 3,550, but the overlap is 3,000, then A is not true.
B. If half the titles distributed by M totals 2,600, and the overlap is 3,000, then B is true.
C. This is obviously not true since we've proven that 3,000 titles are sold by both.
_________________
Re: The total number of recording titles distributed by music d
[#permalink]
31 May 2018, 09:10
31 May 2018, 09:10
2
Us this diagram to solve the answer
Attachments
venn.png [ 11.67 KiB | Viewed 14673 times ]
Re: The total number of recording titles distributed by music d
[#permalink]
12 Jun 2019, 06:44
12 Jun 2019, 06:44
1
x=overlapping events
So, (7100-x)+(5100-x)+x=9300
x=3000
Now, logic says that B only holds .
So, (7100-x)+(5100-x)+x=9300
x=3000
Now, logic says that B only holds .
Re: The total number of recording titles distributed by music d
[#permalink]
11 Mar 2021, 00:45
11 Mar 2021, 00:45
Carcass wrote:
The total number of recording titles distributed by music distributors L and M is 9,300. The number of recording titles distributed by L is 7,100, and the number of recording titles distributed by M is 5,200. Which of the following statements must be true?
Indicate \(all\) such statements.
A More than half of the titles distributed by L are also distributed by M.
B More than half of the titles distributed by M are also distributed by L.
C No titles are distributed by both L and M.
Kudos to the right solution and explanation
Indicate \(all\) such statements.
A More than half of the titles distributed by L are also distributed by M.
B More than half of the titles distributed by M are also distributed by L.
C No titles are distributed by both L and M.
Kudos to the right solution and explanation
There should not be option D and E in the timer for this question.
Re: The total number of recording titles distributed by music d
[#permalink]
11 Mar 2021, 02:46
11 Mar 2021, 02:46
Expert Reply
Look at it better
it is a multiple answer choice with just three options
it is a multiple answer choice with just three options
Re: The total number of recording titles distributed by music d
[#permalink]
14 Aug 2021, 06:31
14 Aug 2021, 06:31
1
[number of total records] = [number from L] + [number from M] - [overlap]
9300 = 7100 + 5200 - overlap
9300 = 12300 - overlap
-3000 = -overlap
overlap = 3000
Basically, 3000 were distributed by L and M together.
That means:
- Of the 7100 total records L distributed, 3000 were also distributed by M
- Of the 5200 total records M distributed, 3000 were also distributed by L.
This means that the overlap would have to be greater than half of 7100, which is False.
This means that the overlap would have to be greater than half of 5200, which is True.
This means that the overlap would have to be 0, which is False.
Hence, B!
9300 = 7100 + 5200 - overlap
9300 = 12300 - overlap
-3000 = -overlap
overlap = 3000
Basically, 3000 were distributed by L and M together.
That means:
- Of the 7100 total records L distributed, 3000 were also distributed by M
- Of the 5200 total records M distributed, 3000 were also distributed by L.
Quote:
A More than half of the titles distributed by L are also distributed by M.
This means that the overlap would have to be greater than half of 7100, which is False.
Quote:
B More than half of the titles distributed by M are also distributed by L.
This means that the overlap would have to be greater than half of 5200, which is True.
Quote:
C No titles are distributed by both L and M.
This means that the overlap would have to be 0, which is False.
Hence, B!
gmatclubot
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