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Of the 1400 college teachers surveyed, 42% said they

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Of the 1400 college teachers surveyed, 42% said they

by BTGmoderatorLU » Thu Nov 21, 2019 1:22 pm

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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 teachers 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.

The OA is A
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by Jay@ManhattanReview » Thu Nov 21, 2019 11:08 pm

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BTGmoderatorLU wrote:Source: GMAT Prep

Of the 1400 college teachers surveyed, 42% said they considered engaging in research an essential goal. How many of the college teachers 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.

The OA is A
Say there are m men and w women, thus, m + w = 1,400 ---(1)

We have to get the value of w.

Let's take each statement one by one.

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

36% of m + 50% of w = 42% of 1,400

0.36m + 0.5w = 0.42*1,400 ---(2)

From (1) and (2), we can get the value of w. Sufficient.

2) In the survey 288 men said that they consider engaging in research activity an essential goal.

From this, we can calculate only that 1,400*42% − 288 = 3 00 women consider engaging in research activity an essential goal. But we want the no. of women college teachers surveyed. Insufficient.

The correct answer: A

Hope this helps!

-Jay
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Re: Of the 1400 college teachers surveyed, 42% said they

by Brent@GMATPrepNow » Wed Jun 02, 2021 5:55 am

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BTGmoderatorLU wrote: ↑
Thu Nov 21, 2019 1:22 pm
 Source: GMAT Prep

Of the 1400 college teachers surveyed, 42% said they considered engaging in research an essential goal. How many of the college teachers 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.

The OA is A
Target question: How many women?

Let W = # of women
Let M = # of men

Given: W + M = 1400

Statement 1: In the survey 36% of the men and 50% of the women said that they considered engaging in research an essential goal.
0.36M + 0.50W = # of teachers who consider research essential.
Well, we're already told that 42% of all 1400 teachers consider research essential.
So, 0.36M + 0.50W = (0.42)(1400)

So we have W + M = 1400 and 0.36M + 0.50W = (0.42)(1400)
Since we could solve this system for M and W, we can definitely answer the target question with certainty.
This means that statement 1 is SUFFICIENT

Statement 2: In the survey, 288 men said they considered engaging in research an essential goal.
We don't know the number of men altogether, so we don't know the percentage of men who consider research essential. Plus, we don't know anything about the women.
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer = A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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