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# Of the 1400 teachers surveyed 42 percent think doing

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Manager
Joined: 28 Jul 2004
Posts: 136
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Followers: 1

Kudos [?]: 11 [0], given: 2

Of the 1400 teachers surveyed 42 percent think doing [#permalink]  23 Aug 2008, 04:43
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
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kris

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Joined: 07 Nov 2007
Posts: 1829
Location: New York
Followers: 25

Kudos [?]: 439 [0], given: 5

Re: How many Woman.. Data Sufficiency [#permalink]  23 Aug 2008, 05:17
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.
_________________

Smiling wins more friends than frowning

Manager
Joined: 28 Jul 2004
Posts: 136
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Followers: 1

Kudos [?]: 11 [0], given: 2

Re: How many Woman.. Data Sufficiency [#permalink]  23 Aug 2008, 05:49
oh yes... so dumb of me !!... thanks a lot
_________________

kris

Re: How many Woman.. Data Sufficiency   [#permalink] 23 Aug 2008, 05:49
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# Of the 1400 teachers surveyed 42 percent think doing

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