A) 200
B) 300
C) 350
D) 400
E) 500
Correct Answer: E
Solution :
We have \[f(x+y)=f(x)+f(y)\] ...(i) and \[f(1)=5\] ...(ii) Now, \[f(100)=f(1+1+1+1+1\]\[+....+1,100times)\] Using Eq. (i), \[=f(1)+f(1)+f(1)+.....+f(1),100\text{ }times\] Using Eq. (ii) \[=5+5+5+5+...+5,100\text{ }times\] \[=5\times 100\] = 500You need to login to perform this action.
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