1
TG EAPCET 2024 (Online) 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
Among the following four statements, the statement which is not true, for all $n \in N$ is
A
$(2 n+7)<(n+3)^2$
B
$1^2+2^2+\ldots \ldots+n^2>\frac{n^3}{3}$
C
$3 \cdot 5^{2 n+1}+2^{3 n+1}$ is divisible by 23
D
$2+7+12+\ldots \ldots+(5 n-3)=\frac{n(5 n-1)}{2}$
2
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
$\frac{1}{90}$
3
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
$\frac{5}{18}$
4
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

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