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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

00:00

A

B

C

D

E

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

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) !

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

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23 Aug 2008, 05:17

1

This post received KUDOS

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? 300 answers the second one.

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

Hope this helps.
_________________

Your attitude determines your altitude Smiling wins more friends than frowning

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!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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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.

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