As you already have the reply to the first question am only answering the second.
in such a case start by seeing what you have. Unfortunately we cannot draw a table but if u have access to the MGMAT word problems guide they have a great table there.
Ok,
You know total teachers (M +W) = 1400
Of which 42% consider engaging in research essential. = 0.42 (1400)
So total who dont consider it imp = 0.58 (1400)
Statement 1) 36% of men and 50% of women consider research imp
Assume total women is = W so total men = 1400 - W
Given
0.36 ( 1400- w) + 0.5 ( w) = 0.42 (1400). Since W stands for total women you have the ans
only one variable so u can ans the question
Statement 2) gives total men interested in no of men interested in research = 288
so you know no of women interested in research = (42* 1400) - 288
But with this you still cannot find the total number of women in the group. If you were given the split or the ratio of M to W as a whole or if you know the ratio of M: W in the group who were not intersted in research you could find the ans. But on its own statement 2 is insufficient
Now sure if i could explain, but hope it helps