Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and equations ensures a solution.
==> Using the original condition we can transform the question and gain A=-B?
In case of 1), A=-0.5, B=0.5 yes, A=0.2, B=0.8 no therefore it is not sufficient.
In case of 2), from |A-0|+|B-1|<1 we get A=-B if A<0 and 0<B<1. Then |A|+|B-1|<1==> -A+1-B<1 ==> -A-B<0 ==> A+B>0 and since A+B = 0 is not possible, the answer is No. Therefore it is sufficient. (from A<0, 0<B<1, any number for A=-B does not satisfy |A|+|B-1|<1. A=-0.5, B=0.5 will be a good example. Therefore the answer is B
In the actual question,
In the number line,
is zero point between point A and point B?
we get
1). The distance from 0 to A is equal to the distance from 1 to B
2). The distance from 0 to A plus the distance from 1 to B is less than 1
The solution can be derived by matching the number of equation with the number of variables. Since there are 2 variables (A, B) we need 2 equations thus the answer is likely C. Using 1) & 2) together,
if A=0.4, B=0.6 the answer is NO, if A=-0.4, B=0.6 the answer is yesê°€. Therefore the answer is E.
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