CAT 2018 · Slot 2Quantitative AbilityProgressions and SeriesHARD+3 / −1

Let $\ a_{1},a_{2}...a_{52}\$ be positive integers such that $\ a_{1}$ < $a_{2}$ < ... < $a_{52}\$ . Suppose, their arithmetic mean is one less than arithmetic mean of $a_{2}$ , $a_{3}$ , .... $a_{52}$ . If $a_{52}$ = 100, then the largest possible value of $a_{1}$ is

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CAT 2018 · Slot 2Quantitative AbilityProgressions and SeriesHARD+3 / −1

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Let \ a_{1},a_{2}...a_{52}\ be positive integers such that a1\ a_{1} a1​ < a2a_{2}a2​ < ... < a_{52}\. Suppose, their arithmetic mean is one less than arithmetic mean of a2a_{2}a2​, a3a_{3}a3​, ....a52a_{52}a52​. If a52a_{52}a52​= 100, then the largest possible value of a1a_{1}a1​is