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Saturday, 31 October

JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 5 April 2024, Shift 2, Maths Q22

Question 22 of 90 in this shift, Maths question 22 of 30, Section B.

If 1+3−223+5−2618+93−112363+49−206180+…1 + \frac{\sqrt{3}-\sqrt{2}}{2\sqrt{3}} + \frac{5-2\sqrt{6}}{18} + \frac{9\sqrt{3}-11\sqrt{2}}{36\sqrt{3}} + \frac{49-20\sqrt{6}}{180} + \ldots upto ∝=2+(ba+1)log⁡e(ab)\propto = 2 + \left(\sqrt{\frac{b}{a}}+1\right)\log_e\left(\frac{a}{b}\right), where aa and bb are integers with gcd⁡(a,b)=1\gcd(a, b) = 1, then 11a+18b11a+18b is equal to ________.

Official answer

76

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