Let [t] denote the greatest integer ≤ t. If the constant term in the expansion of (3 x²-1/(2 x⁵))⁷ is α, then [α] is equal to _ _ _ _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2023 Mathematics question

JEE Main 2023 · 8 Apr, Morning shift · Q27

JEE Main 20238 Apr, Morning shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

Let

[t]

denote the greatest integer

\leq t

. If the constant term in the expansion of

\left(3 x^{2}-\frac{1}{2 x^{5}}\right)^{7}

\alpha

, then

[\alpha]

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.