Let A = 1, 2, 3,...., 100 and R be a relation on A such that R = (a, b): a = 2b + 1 . Let (a_1, a_2), (a_2,...

Question

Let A = 1, 2, 3,...., 100 and R be a relation on A such that R = (a, b): a = 2b + 1 . Let (a_1, a_2), (a_2, a_3), (a_3, a_4), , (a_k, a_ k+1 ) be a sequence of k elements of R such that the second entry of an ordered pair is equal to the first entry of the next ordered pair. Then the largest integer k, for which such a sequence exists, is equal to:

Accepted Answer

(3)

JEE Main 2025 Mathematics question

Solution

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