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CAT 2016 | Question: 95

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A series $\text{S1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $\text{S2}$, the $n$th term defined as the difference between the $(n+1)$ term and the $n^{\text{th}}$ term of series $\text{S1}$, is an arithmetic progression with a common difference of $30$.

What is the average value of the terms of series $\text{S1}$?

  1. $60$
  2. $70$
  3. $80$
  4. Average is not an integer
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