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Saturday, 31 October

JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 5 April 2024, Shift 2, Maths Q9

Question 9 of 90 in this shift, Maths question 9 of 30, Section A.

If the constant term in the expansion of (35x+2x53)12\left(\frac{\sqrt[5]{3}}{x}+\frac{2x}{\sqrt[3]{5}}\right)^{12}, x≠0x \neq 0, is α×28×35\alpha \times 2^8 \times \sqrt[5]{3}, then 25α25\alpha is equal to :
  1. (1)742
  2. (2)639
  3. (3)724
  4. (4)693Official 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.