Let T be the set of integers (3,11,19,27, …….451,459,467) and S be a subset of T such that the sum of no two elements of S is 470. The maximum possible number of elements in Sis
(a). 32
(b). 28
(c) 29
(d). 30
No. of terms in series T , 3+(n-1)*8 = 467 i.e. n=59.
Now S will have atleast have of 59 terms i.e 29 .
Also the sum of 29th term and 30th term is less than 470.
Hence, maximum possible elements in S is 30Write Here