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

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Manager
Joined: 02 Jun 2015
Posts: 191
Location: Ghana
Of the 350 members in the local carpenters union, 190 of the members h  [#permalink]

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02 Feb 2017, 08:02
4
00:00

Difficulty:

95% (hard)

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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Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4486
Re: Of the 350 members in the local carpenters union, 190 of the members h  [#permalink]

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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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Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

Manager
Joined: 02 Jun 2015
Posts: 191
Location: Ghana
Re: Of the 350 members in the local carpenters union, 190 of the members h  [#permalink]

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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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Director
Joined: 14 Nov 2014
Posts: 628
Location: India
GMAT 1: 700 Q50 V34
GPA: 3.76
Of the 350 members in the local carpenters union, 190 of the members h  [#permalink]

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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 ...
Senior Manager
Joined: 24 Apr 2016
Posts: 331
Re: Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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31 Mar 2017, 10:06
3

Solution attached.
Attachments

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Intern
Joined: 17 Jul 2017
Posts: 4
Re: Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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11 Mar 2018, 08:26
quantumliner wrote:

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?
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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11 Mar 2018, 08:53
gbatistoti wrote:
quantumliner wrote:

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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Intern
Joined: 02 Jan 2017
Posts: 2
Re: Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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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
Director
Joined: 27 May 2012
Posts: 683
Re: Of the 350 members in the local carpenters union, 190 of the members h  [#permalink]

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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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- Stne

Math Expert
Joined: 02 Sep 2009
Posts: 53020
Re: Of the 350 members in the local carpenters union, 190 of the members h  [#permalink]

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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

___________________
Done. Thank you.
_________________
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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