amitbharadwaj7
Lets evaluate it step by step
Statement A:-
|X-2|=1
From above statement, we will have two values of X, since X is positive we can have X=1 or X=3, both the positive values of X satisfies the statement A. Since we have two values coming out of statement A, Statment A stands insufficient for any certain answer. With this the option D also gets away.
Statement B:-
X^2=4X-3
If we solve this equation i.e. X^2-4X+3=0, then it can also be written as (X-3)(X-1)=0
Again from Statement B, we have two values of X, so Statement B is insufficient
Combining the Two Statments also, we do not get any one value of X. Hence Option C also gets away. Hence the only answer left is E i.e. both the statements are not sufficient.
from st(1), x=1 or 3
from st(2), x= 1 or 3.
but the question was, "what is the value of x?"
but we found two values from both statements. thats why "what is?" is not evaluated at all and its an obvious double case.
so Answer is (E)