a) 67 kg
b) 68 kg
c) 69 kg
d) Data inadequate
Answer: a
Explanation: Let Arun’s weight by X kg.
According to Arun, 65 < X < 72
According to Arun’s brother, 60 < X < 70
According to Arun’s mother, X < 68
The values satisfying all the above conditions are 66, 67 and 68
$$\eqalign{
& {\text{Required}}\,{\text{average}} = {\frac{{66 + 67 + 68}}{3}} \cr
& = {\frac{{201}}{3}} \cr
& = 67\,kg \cr} $$
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