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Of the 350 members in the local carpenters union, 190 of the members h

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Of the 350 members in the local carpenters union, 190 of the members h  [#permalink]

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New post 02 Feb 2017, 08:02
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Question Stats:

32% (03:30) correct 68% (03:38) wrong based on 44 sessions

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Of the 350 members in the local carpenters union, 190 of the members have more than 10 years experience and 110 of the members with 10 or fewer years experience are not master craftsmen. If ten elevenths of the master craftsmen own their own shops and there are 110 master craftsmen who own their own shops, which could be the number of master craftsmen with more than 10 years experience who own their own shops?

A) 125
B) 115
C) 100
D) 75
E) 40

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Re: Of the 350 members in the local carpenters union, 190 of the members h  [#permalink]

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New post 02 Feb 2017, 14:52
1
duahsolo wrote:
Of the 350 members in the local carpenters union, 190 of the members have more than 10 years experience and 110 of the members with 10 or fewer years experience are not master craftsmen. If ten elevenths of the master craftsmen own their own shops and there are 110 master craftsmen who own their own shops, which could be the number of master craftsmen with more than 10 years experience who own their own shops?

A) 125
B) 115
C) 100
D) 75
E) 40

Dear duahsolo,

I'm happy to respond. :-)

I don't know the source of this question, but I would say that the wording is very poor. That first sentence is a train wreck that needs to be broken up for clarity.

I believe what the problem is saying is:
Of the 350 members in the local carpenters union, 190 of the members have more than 10 years experience. One hundred and ten of the members with 10 or fewer years experience are not master craftsmen.
This is the interpretation I will take.

total number of members = 350

total members with 10+ years = 190
so
total members with <10 years = 160

Of that latter set, 110 are not master craftsmen (MC), so 50 are MC.

Then we are told: "ten elevenths of the master craftsmen own their own shops and there are 110 master craftsmen who own their own shops." Let the total number of MC be X. This says:
(10/11)X = 110
X = 110(11/10) = 121
That's the total number of MC. If 50 MC come from the group with <10 years, then 61 must come from the group with 10+ years.

How many MC with 10+ years owns their own shop? Well, now we have a problem. The number has to be 61 or fewer, so the only choice is (E), but that creates a problem with the scenario.
61 MC with 10+ years --> 40 own their own shop
50 MC with <10 years --> suppose all 50 own their own shops
That's only 90 owning their own shops, but there have to be a total of 110 who own their own shops.

Either there is more ambiguity in the question stem which I missed, or the author of the question did not think this thing through very carefully. In more ways than one, this is a poorly designed question.

Here's a much better PS practice question:
In Dewey Elementary School

Does all this make sense?
Mike :-)
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Re: Of the 350 members in the local carpenters union, 190 of the members h  [#permalink]

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New post 02 Feb 2017, 23:26
mikemcgarry wrote:
duahsolo wrote:
Of the 350 members in the local carpenters union, 190 of the members have more than 10 years experience and 110 of the members with 10 or fewer years experience are not master craftsmen. If ten elevenths of the master craftsmen own their own shops and there are 110 master craftsmen who own their own shops, which could be the number of master craftsmen with more than 10 years experience who own their own shops?

A) 125
B) 115
C) 100
D) 75
E) 40

Dear duahsolo,

I'm happy to respond. :-)

I don't know the source of this question, but I would say that the wording is very poor. That first sentence is a train wreck that needs to be broken up for clarity.



Hi

I believe what the problem is saying is:
Of the 350 members in the local carpenters union, 190 of the members have more than 10 years experience. One hundred and ten of the members with 10 or fewer years experience are not master craftsmen.
This is the interpretation I will take.

total number of members = 350

total members with 10+ years = 190
so
total members with <10 years = 160

Of that latter set, 110 are not master craftsmen (MC), so 50 are MC.

Then we are told: "ten elevenths of the master craftsmen own their own shops and there are 110 master craftsmen who own their own shops." Let the total number of MC be X. This says:
(10/11)X = 110
X = 110(11/10) = 121
That's the total number of MC. If 50 MC come from the group with <10 years, then 61 must come from the group with 10+ years.

How many MC with 10+ years owns their own shop? Well, now we have a problem. The number has to be 61 or fewer, so the only choice is (E), but that creates a problem with the scenario.
61 MC with 10+ years --> 40 own their own shop
50 MC with <10 years --> suppose all 50 own their own shops
That's only 90 owning their own shops, but there have to be a total of 110 who own their own shops.

Either there is more ambiguity in the question stem which I missed, or the author of the question did not think this thing through very carefully. In more ways than one, this is a poorly designed question.

Here's a much better PS practice question:
In Dewey Elementary School

Does all this make sense?
Mike :-)



Hi Mike,

The source of the question is: bellcurves.com
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Of the 350 members in the local carpenters union, 190 of the members h  [#permalink]

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New post 03 Feb 2017, 01:41
mikemcgarry wrote:
duahsolo wrote:
Of the 350 members in the local carpenters union, 190 of the members have more than 10 years experience and 110 of the members with 10 or fewer years experience are not master craftsmen. If ten elevenths of the master craftsmen own their own shops and there are 110 master craftsmen who own their own shops, which could be the number of master craftsmen with more than 10 years experience who own their own shops?

A) 125
B) 115
C) 100
D) 75
E) 40

Dear duahsolo,

I'm happy to respond. :-)

I don't know the source of this question, but I would say that the wording is very poor. That first sentence is a train wreck that needs to be broken up for clarity.

I believe what the problem is saying is:
Of the 350 members in the local carpenters union, 190 of the members have more than 10 years experience. One hundred and ten of the members with 10 or fewer years experience are not master craftsmen.
This is the interpretation I will take.

total number of members = 350

total members with 10+ years = 190
so
total members with <10 years = 160

Of that latter set, 110 are not master craftsmen (MC), so 50 are MC.

Then we are told: "ten elevenths of the master craftsmen own their own shops and there are 110 master craftsmen who own their own shops." Let the total number of MC be X. This says:
(10/11)X = 110
X = 110(11/10) = 121
That's the total number of MC. If 50 MC come from the group with <10 years,then 61 must come from the group with 10+ years.

How many MC with 10+ years owns their own shop? Well, now we have a problem. The number has to be 61 or fewer, so the only choice is (E), but that creates a problem with the scenario.
61 MC with 10+ years --> 40 own their own shop
50 MC with <10 years --> suppose all 50 own their own shops
That's only 90 owning their own shops, but there have to be a total of 110 who own their own shops.

Either there is more ambiguity in the question stem which I missed, or the author of the question did not think this thing through very carefully. In more ways than one, this is a poorly designed question.

Here's a much better PS practice question:
In Dewey Elementary School

Does all this make sense?
Mike :-)


Hi Mike...
Number of worker with 10+ yrs of experience will be 71(121-50) .or Am i missing some thing here ...

i solved this 3,4 times as i was not getting close to any answer choice ....
The answer choices are more poor here ...
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Re: Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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New post 31 Mar 2017, 10:06
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Answer is E

Solution attached.
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Re: Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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New post 11 Mar 2018, 08:26
quantumliner wrote:
Answer is E

Solution attached.



If only 45 master craftsman with ten or more years own their own shop where are the others 65 master that own their own shop? Since we only have 50 with fewer than 10 years experience. I think I haven't understood this question well. Could someone explain?
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Re: Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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New post 11 Mar 2018, 08:53
gbatistoti wrote:
quantumliner wrote:
Answer is E

Solution attached.



If only 45 master craftsman with ten or more years own their own shop where are the others 65 master that own their own shop? Since we only have 50 with fewer than 10 years experience. I think I haven't understood this question well. Could someone explain?



Hi..
The distribution of MC is 71 > 10yrs and 50 <= 10yrs..
Of these 110 own their shop..
So Min of these from >10yrs =110-50=60 and max is all71
So solution can be any number between 60 and 71.
So you are correct that there is no valid answer here.

Bunuel, please check if there is some typo..
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Re: Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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New post 11 Mar 2018, 11:55
Good point. I got X to equal 121 total who own a shop. 121 - 50 ( <10 years experience) = 71. Am I missing something? Thanks
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Re: Of the 350 members in the local carpenters union, 190 of the members h  [#permalink]

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New post 19 Nov 2018, 04:06
1
duahsolo wrote:
Of the 350 members in the local carpenters union, 190 of the members have more than 10 years experience and 110 of the members with 10 or fewer years experience are not master craftsmen. If ten elevenths of the master craftsmen own their own shops and there are 110 master craftsmen who own their own shops, which could be the number of master craftsmen with more than 10 years experience who own their own shops?

A) 125
B) 115
C) 100
D) 75
E) 40


Dear Moderator,
This same question seems to have been duplicated at the link below, you may wish to merge the same.
Thank you.

https://gmatclub.com/forum/of-the-350-m ... 37333.html
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Re: Of the 350 members in the local carpenters union, 190 of the members h  [#permalink]

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New post 19 Nov 2018, 04:08
stne wrote:
duahsolo wrote:
Of the 350 members in the local carpenters union, 190 of the members have more than 10 years experience and 110 of the members with 10 or fewer years experience are not master craftsmen. If ten elevenths of the master craftsmen own their own shops and there are 110 master craftsmen who own their own shops, which could be the number of master craftsmen with more than 10 years experience who own their own shops?

A) 125
B) 115
C) 100
D) 75
E) 40


Dear Moderator,
This same question seems to have been duplicated at the link below, you may wish to merge the same.
Thank you.

https://gmatclub.com/forum/of-the-350-m ... 37333.html


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Done. Thank you.
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Re: Of the 350 members in the local carpenters union, 190 of the members h   [#permalink] 19 Nov 2018, 04:08
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