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Year

CAT 2018

Section

Quantitative

Topic

Averages

Difficulty

Hard

Question

Slot-2

Let a1,a2,,a52a_1, a_2, \ldots, a_{52} be positive integers such that a1<a2<<a52a_1 < a_2 < \ldots < a_{52}. Suppose their arithmetic mean is one less than the arithmetic mean of a2,a3,,a52a_2, a_3, \ldots, a_{52}. If a52=100a_{52} = 100, then the largest possible value of a1a_1 is

48

20

45

23

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