1
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $p(x)$ be a quadratic polynomial with real coefficients. If $p(x)=0$ has only purely imaginary roots, then the zeroes of the polynomial $p(p(x))$ are

A

only real numbers

B

only purely imaginary numbers

C

only rational numbers

D

only complex numbers of the form $a+i b$ with $a \neq 0$ and $b \neq 0$

2
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\alpha, \beta, \gamma$ are the roots of the equation $4 x^3+12 x^2-7 x+165=0$ and $\alpha+5, \beta+5, \gamma+5$ are the roots of the equation $a x^3+b x^2+c x+d=0$ then the product of the roots of the second equation is

A

27

B

0

C

-3

D

$3 \sqrt{5}+4$

3
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The number of 3-digit odd numbers divisible by 3 that can be formed using the digits $1,2,3,4,5,6$ when repetition is not allowed, is

A

18

B

21

C

24

D

36

4
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { Match the items of List-I to the items of List-II } $$

List-I List-II
(A) The number of ways of not selecting ( $n-r$ ) things from $n$ different things (I) $1+{ }^n C_1+{ }^n C_2+\ldots+{ }^n C_r$
(B) $\quad(n-r+1) \cdot{ }^n C_{r-1}$ (II) $(r+1) \cdot{ }^n C_{r+1}$
(C) The number of ways of selecting atleast ( $n-r$ ) things from $n$ different things (III) $r \cdot{ }^n \mathrm{C}$,
(D) $(n-r)\left({ }^{(n-1)} C_{r-1}+{ }^{(n-1)} C_r\right)$ (IV) $$
\begin{aligned}
& 2^n-1-n- \\
& { }^n C_2-\ldots-{ }^n C_r
\end{aligned}
$$
(V) ${ }^n C_{n-1}$
A
A B C D
V III IV II
B
A B C D
I II IV III
C
A B C D
V III I II
D
A B C D
I V IV III

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