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JEE Main 2023 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 13 April 2023, Shift 2, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

The coefficient of

x^5

in the expansion of

\left(2x^3-\frac{1}{3x^2}\right)^5

is

(1) $8$
(2) $9$
(3) $\frac{80}{9}$ Official answer
(4) $\frac{26}{3}$

Official answer

Option 3

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.