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Saturday, 31 October

JEE Main 2022 · MathsNumerical answerNumerical valueMediumApplication

JEE Main 28 June 2022, Shift 1, Maths Q28

Question 28 of 90 in this shift, Maths question 28 of 30, Section B.

The number of positive integers kk such that the constant term in the binomial expansion of (2x3+3xk)12\left(2x^3+\frac{3}{x^k}\right)^{12}, x≠0x\neq0 is 28⋅ℓ2^8\cdot\ell, where ℓ\ell is an odd integer, is ________.

Official answer

2

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