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 sufficientSo, the answer should be (D) i.e. Each statment alone is sufficient but the correct answer is (A) !
Any idea where am wrong?