If the constant term in the expansion of $\left(3x^3 - 2x^2 + \frac{5}{x^5}\right)^{10}$ is $2^k \cdot l$, where $l$ is an odd integer, then the value of $k$ is equal to :

JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 29 June 2022, Shift 1, Maths Q16

Question 16 of 90 in this shift, Maths question 16 of 30, Section A.

If the constant term in the expansion of

\left(3x^3 - 2x^2 + \frac{5}{x^5}\right)^{10}

2^k \cdot l

, where

l

is an odd integer, then the value of

k

is equal to :

Official answer

Option 4

NTA final key (2022 Session 1).