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.

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