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Friday, 9 October

JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 6 April 2024, Shift 2, Maths Q23

Question 23 of 90 in this shift, Maths question 23 of 30, Section B.

If S(x)=(1+x)+2(1+x)2+3(1+x)3+⋯+60(1+x)60S(x)=(1+x)+2(1+x)^2+3(1+x)^3+\cdots+60(1+x)^{60}, x≠0x\ne 0, and (60)2S(60)=a(b)b+b(60)^2 S(60)=a(b)^b+b, where a,b∈Na,b\in\mathbb{N}, then (a+b)(a+b) equal to ________.

Official answer

3660

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