UPSEE Solved Model Paper 4

Let the numbers be n - 1 , n , n + 1
As per the given information , we have
(n - 1) + n2+(n+1)2 = (n−1+n+n+1)2
⇒ n3−5n2+4n = 0
⇒ n = 0 , 1 , 4
For n = 0, the numbers are : - 1 , 0 , 1
this is out as all the numbers should be positive ('o' cant be taken as positive)
For n = 4 , then numbers are : 3 , 4 , 5
We have got largest number which is 5
Hence, the value of γ is 5.