1. Question:
if my mother goes, then my sister is happy
if my sister is happy, then my sister plays with her friends
the conclusion is....
Answer
p : my mother goes
q: my sister is happy
r : my sister plays with her friends
and then, we can write
p-->q
q-->r
:: p-->r
we can conclude that "p-->r" or we can write in verbal statement "if my mother goes, then my sister plays with her friends"
2. Question
Negative from "some of poeple are foolish, if they are lazy, then they have a bad occupation" is
Answer

P(x) : they are lazy
Q(x) : they have a bad occupation
we can write that
(Ex)(P(x)-->Q(x))
and then
-[(Ex)(P(x)-->Q(x))]
(Ax)-(-P(x) v Q(x))
or we can write in verbal "all of people aren't foolish, they are lazy, and they don't have bad occupation"