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

Consider the following

Statement-I In the nitration of aniline, more amount of $m$-nitroaniline is formed than expected.

Statement-II In the presence of a strongly acidic medium, aniline is protonated to form anilinium ion, which is meta-directing.

The correct answer is

A

Both statement-I and statement-II are correct.

B

Both statement-I and statement-II are not correct.

C

Statement-I is correct, but statement-II is not correct.

D

Statement-I is not correct, but statement-II is correct.

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 Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $11^{12}-11^2=k\left(5 \times 10^9+6 \times 10^9+33 \times 10^8\right. \left.+110 \times 10^7+\ldots+33\right)$, then $k=$

A

20

B

50

C

100

D

200