+1 for A. My take :
Statement 1 : Given that mean is a+b. (a+b)/3=a+b ; i.e a+b=0. This means that the set is -2b,0,2b. The median in this case becomes zero. We get a definite answer.
Statement 2 : Range is 2b. The middle value is b-a. This is not a definite value. Hence not sufficient.
The answer is option A.
Statement 1 : Given that mean is a+b. (a+b)/3=a+b ; i.e a+b=0. This means that the set is -2b,0,2b. The median in this case becomes zero. We get a definite answer.
Statement 2 : Range is 2b. The middle value is b-a. This is not a definite value. Hence not sufficient.
The answer is option A.
