jnu sss 2015, ques 44

[soimmoi]

let f(x) be a differentiable function defined over [0,2]. It is givent that f(0) = 1 and f(x)<= 0 -->f'(x)>0
then,
a) f(x)< 0 for some x in interval (0,2]
b)f(x)>= 0 for all x [0,2]
c)f(x) = 0 for all x in [0,1]
d) f(x) is strictly positive for all 0<x<1 and f(x) is strictly negative for 1<x<2

[Dhonomics]

Correct answer is option (b)
http://economicsentrance.in/thread/jnu-2015-q-44/

[soimmoi]

hey! I'm unable to open the link
can you please explain your answer?
and
also i've a doubt in ques 43 cournot one is the answer for that a) 1