Of the 1400 college teachers surveyed, 42% said that they co : GMAT Data Sufficiency (DS)
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# Of the 1400 college teachers surveyed, 42% said that they co

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Of the 1400 college teachers surveyed, 42% said that they co [#permalink]

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23 Aug 2008, 04:43
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Difficulty:

65% (hard)

Question Stats:

54% (02:01) correct 46% (01:20) wrong based on 83 sessions

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Of the 1400 college teachers surveyed, 42% said that they considered enaggin in research an essential goal. How many college teachers surveyed were women?

(1) In the survey 36% of the men and 50% of the women said that they considered engaging in research an essential goal
(2) In the survey, 288 men said that they considered engaging in research an essential goal

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-1400-college-teachers-surveyed-42-said-they-consid-92076.html

[Reveal] Spoiler:
My approach was :
Let Women = X --> Men = (1400-X)

from (1) we have : 36/100 x (1400-X) + 50/100 x X = 42/100 x 1400 which will give the value of X and hence Sufficient

from (2) we have :

number of people who think research is essential = 42/100 x 1400 = 588 out of which 288 are men which implies that
no. of women = (588-288) = 300 and hence is sufficient

So, the answer should be (D) i.e. Each statment alone is sufficient but the correct answer is (A) !

Any idea where am wrong?

Thanks
[Reveal] Spoiler: OA

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kris

Last edited by Bunuel on 27 Aug 2014, 03:17, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
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Re: Of the 1400 college teachers surveyed, 42% said that they co [#permalink]

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23 Aug 2008, 05:17
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krishan wrote:
Of the 1400 teachers surveyed 42 percent think doing research is essential. How many teachers surveyed were Women?

1) In survey, 36% men and 50% women thought doing research was essential

2) In survey, 288 men said doing research was essential.

My approach was :
Let Women = X --> Men = (1400-X)

from (1) we have : 36/100 x (1400-X) + 50/100 x X = 42/100 x 1400 which will give the value of X and hence Sufficient

from (2) we have :

number of people who think research is essential = 42/100 x 1400 = 588 out of which 288 are men which implies that
no. of women = (588-288) = 300 and hence is sufficient

So, the answer should be (D) i.e. Each statment alone is sufficient but the correct answer is (A) !

Any idea where am wrong?

Thanks

Question is
How many teachers surveyed were Women?
not
How many teachers surveyed think doing research essential were Women?

Still you don't the total how many survyed were women.

Hope this helps.
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Manager
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Posts: 136
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Re: Of the 1400 college teachers surveyed, 42% said that they co [#permalink]

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23 Aug 2008, 05:49
oh yes... so dumb of me !!... thanks a lot
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kris

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Re: Of the 1400 college teachers surveyed, 42% said that they co [#permalink]

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26 Aug 2014, 12:16
Hello from the GMAT Club BumpBot!

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Re: Of the 1400 college teachers surveyed, 42% said that they co [#permalink]

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27 Aug 2014, 03:18
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Expert's post
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Of the 1400 college teachers surveyed, 42% said they considered engaging in research an essential goal. How many of the college teacher surveyed were women?

(1) In the survey 36% of men and 50% of women said that they consider engaging in research activity an essential goal.
(2) In the survey 288 men said that they consider engaging in research activity an essential goal.

(1) $$m+w=1400$$ and $$1400*0.42=0.36*m+0.5*w$$. Two unknowns two equations. Sufficient.
(2) From this we can calculate only that $$1400*0.42-288=300$$ women consider engaging in research activity an essential goal. No other info. Not sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-1400-college-teachers-surveyed-42-said-they-consid-92076.html
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Re: Of the 1400 college teachers surveyed, 42% said that they co   [#permalink] 27 Aug 2014, 03:18
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