1
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$\frac{1}{3 \cdot 6}+\frac{1}{6 \cdot 9}+\frac{1}{9 \cdot 12}+\ldots \ldots .$. to 9 terms $=$
A
$\frac{10}{99}$
B
$\frac{11}{108}$
C
$\frac{1}{10}$
D
$\frac{1}{90}$
2
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
When $|x|<2$, then coefficient of $x^2$ in the power series expansion of $\frac{x}{(x-2)(x-3)}$, is
A
$\frac{1}{6}$
B
$\frac{5}{36}$
C
$\frac{25}{216}$
D
$\frac{5}{18}$
3
TS EAMCET 2023 (Online) 14th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the roots of the equation $k x^3-18 x^2-36 x+8=0$ are in harmonic progression, then $k=$

A

64

B

45

C

81

D

27

4
TS EAMCET 2023 (Online) 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $f(x)$ is a function such that $f(x+y)=f(x)+f(y)$ and $f(1)=7$, then $\sum_{r=1}^n f(r)=$

A

$\frac{7 n}{2}$

B

$\frac{7(n+1)}{2}$

C

$7 n(n+1)$

D

$\frac{7 n(n+1)}{2}$

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