1
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

In the expansion of $(x-2 y+3 z)^5$, if the total number of terms is $p$ and the coefficient of $x^2 y z^2$ is $q$, then $\frac{q}{p}=$

A

60

B

$-\frac{180}{7}$

C

72

D

$-\frac{1080}{7}$

2
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $C_0, C_1, C_2, \ldots, C_n$ be the binomial coefficients in the expansion of $(1+x)^n$. If $S_{n+1}=5 \cdot C_0+8 \cdot C_1+11 \cdot C_2+\ldots(n+1)$ terms, then $S_{11}=$

A

18944

B

17920

C

20480

D

40960

3
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $|x|$ is so small that $x^3$ and higher powers of $x$ can be neglected, then an approximate value of $\frac{1}{\sqrt{4-x}(2+x)^3}$ is

A

$\frac{1}{16}\left(1+\frac{13 x}{8}+\frac{219}{128} x^2\right)$

B

$\frac{1}{8}\left(1+\frac{11 x}{8}-\frac{165}{128} x^2\right)$

C

$\frac{1}{32}\left(1-\frac{11 x}{8}+\frac{219}{128} x^2\right)$

D

$\frac{1}{16}\left(1-\frac{11 x}{8}+\frac{171}{128} x^2\right)$

4
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The number of integral terms in the expansion of $(\sqrt{3}+\sqrt[8]{5})^{256}$ is

A
32
B
33
C
34
D
35

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