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If three positive real numbers x, y, z satisfy y - x = z - y and xyz = 4, then what is the minimum possible value of y ?


Options:
A .   21/3
B .   22/3         
C .   21/4      
D .   23/4
E .   118
Answer: Option B
:
B
Condition implies x,y,z is in AP and xyz is const. Hence, y is min when x+y+z is min, that will happen when x=y=z= 22/3

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