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Friday, 9 October

JEE Main 2026 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 8 April 2026, Shift 2, Maths Q25

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

Let ff be a polynomial function such that log⁡2(f(x))=(log⁡2(2+23+29+…∞))⋅log⁡3(1+f(x)f(1/x))\log_2(f(x)) = \left(\log_2\left(2 + \frac{2}{3} + \frac{2}{9} + \ldots \infty\right)\right) \cdot \log_3\left(1 + \frac{f(x)}{f(1/x)}\right), x>0x > 0 and f(6)=37f(6) = 37. Then ∑n=110f(n)\sum_{n=1}^{10} f(n) is equal to ________.

Official answer

395

NTA final key.

Chapter
Sequences and Series
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.