1
AP EAPCET 2025 - 26th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the range of the function $f(x)=-3 x-3$ is $\{3,-6,-9,-18\}$, then which one of the following is not in the domain of $f$ ?

A

-1

B

-2

C

2

D

5

2
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$[t]$ denotes the greatest integer function and $[t-m]=[t]-m$ when $m \in Z$. If $k=2[2 x-1]-1$ and $3[2 x-2]+1=2[2 x-1]-1$, then the range of $f(x)=[k+5 x]$ is
A

$\{7,8,9\}$

B

$\{4,5,6\}$

C

$\{5,6,7\}$

D

$\{6,7,8\}$

3
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $f(x)=(x+1)^2-1, x \geq-1$, then $\left\{x \mid f(x)=f^{-1}(x)\right\}$ is

A

$\{0,-1\}$

B

$\{-1,0,1\}$

C

$\left\{-1,0, \frac{-3+\sqrt{3} i}{2}, \frac{-3-\sqrt{3} i}{2}\right\}$

D

an empty set

4
AP EAPCET 2025 - 23rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { Consider the following statements. } $$

$$ \begin{array}{cl} \hline \text { Statement I } & \begin{array}{l} \text { A function } f: A \rightarrow B \text { is said to be one-one if and } \\ \text { only if } f(x) \neq f(y) \Rightarrow x \neq y \end{array} \\ \hline \text { Statement II } & \begin{array}{l} \text { A relation } f: A \rightarrow B \text { is said to be a function if } x \neq y \\ \Rightarrow f(x) \neq f(y) \end{array} \\ \hline \end{array} $$

Then, which one of the following is true?

A

Only statement I is true.

B

Only statement II is true.

C

Both Statement I and Statement II are true.

D

Neither Statement I nor Statement II is true.

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