1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $|x|<\frac{2}{3}$, then the 4th term in the expansion of $(3 x-2)^{\frac{2}{3}}$ is :
A
$\frac{\sqrt[3]{4}}{6} x^3$
B
$-\frac{\sqrt[3]{4}}{6} x^3$
C
$\frac{\sqrt[3]{4}}{8} x^3$
D
$-\frac{\sqrt[3]{4}}{8} x^3$
2
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The coefficient of $x^5$ in the expansion of $\left(2 x^3-\frac{1}{3 x^2}\right)^5$ is
A
8
B
9
C
$\frac{80}{9}$
D
$\frac{29}{3}$
3
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Numerically greatest term in the expansion of $(5+3 x)^6$ When, $x=1$, is
A
$3^5 \times 5^3$
B
$3^3 \times 5^5$
C
$3^2 \times 5^5$
D
$3^4 \times 5^4$
4
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The square root of independent term in the expansion of $ \left( 2x^2 + \frac{5}{x} \right)^5 $ is
A
$\frac{15}{\sqrt{10}}$
B
$\frac{10}{\sqrt{15}}$
C
$\frac{30}{\sqrt{5}}$
D
$\frac{20}{\sqrt{5}}$

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