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Friday, 9 October

JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2025, Shift 2, Maths Q2

Question 2 of 75 in this shift, Maths question 2 of 25, Section A.

Let A={1,2,3,…,100}A = \{1, 2, 3, \ldots, 100\} and RR be a relation on AA such that R={(a,b):a=2b+1}R = \{(a, b) : a = 2b + 1\}. Let (a1,a2),(a2,a3),(a3,a4),…,(ak,ak+1)(a_1, a_2), (a_2, a_3), (a_3, a_4), \ldots, (a_k, a_{k+1}) be a sequence of kk elements of RR such that the second entry of an ordered pair is equal to the first entry of the next ordered pair. Then the largest integer kk, for which such a sequence exists, is equal to :
  1. (1)55Official answer
  2. (2)66
  3. (3)77
  4. (4)88

Official answer

Option 1

NTA final key.

Topic
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Idea tested
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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.