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1
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The numerically greatest term in the expansion of $(3 x-16 y)^{15}$, when $x=\frac{2}{3}$ and $y=\frac{3}{2}$, is
A
13th term
B
14 th term
C
15 th term
D
16 th term
2
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
For $n \in N$ the largest positive integer that divides $81^n+20 n-1$ is $k$. If $S$ is the sum of all positive divisors of $k$, then $S-k=$
A
117
B
130
C
115
D
127
3
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
4
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The expansion of $\left(1+x+x^2\right)^{-3 / 2}$ in powers of $x$ is valid, if

A
$|x|<1$
B
$|x|<\frac{1}{2}$
C
$\left|x+\frac{1}{2}\right|<\frac{\sqrt{5}}{2}$
D

$-\frac{1}{2}-\frac{\sqrt{5}}{2} < x < 1$

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