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Saturday, 31 October

JEE Main 2023 · MathsMultiple choiceTwo statementsHardMulti-step

JEE Main 6 April 2023, Shift 2, Maths Q6

Question 6 of 90 in this shift, Maths question 6 of 30, Section A.

Among the statements: (S1) : 20232022−199920222023^{2022}-1999^{2022} is divisible by 8 (S2) : 13(13)n−11n−1313(13)^n-11n-13 is divisible by 144 for infinitely many n∈Nn\in\mathbb{N}
  1. (1)only (S1) is correct
  2. (2)only (S2) is correct
  3. (3)both (S1) and (S2) are incorrect
  4. (4)both (S1) and (S2) are correctOfficial answer

Official answer

Option 4

NTA final key.

Chapter
Binomial Theorem
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

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 108 of the 174 JEE Main shifts held from 2017 to 2026.