1
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The sum of the least positive integer and the greatest negative integer in the range of the function $f(x)=\frac{x^2-5 x+7}{x^2-5 x-7}$ is

A

0

B

1

C

2

D

-1

2
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The interval in which the curve represented by $f(x)=2 x+\log \left(\frac{x}{2+x}\right)$ is

A

$(-\infty, 0)$

B

$(-2, \infty)$

C

$(-\infty,-2) \cup(0, \infty)$

D

$(-2,0)$

3
AP EAPCET 2025 - 21st May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The set of real values of $x$ such that $f(x)=\sqrt{\frac{[x]-1}{\left.[x]^2-[x]-6\right]}}$ is a real valued function is

A

$[1, \infty)$

B

$(-\infty,-2) \cup[4, \infty)$

C

$[-1,3)$

D

$[-1,2) \cup[4, \infty)$

4
AP EAPCET 2025 - 21st May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If a function $f: Z \rightarrow Z$ is defined by $f(x)=x-(-1)^x$, then $f(x)$ is

A

one-one, but not onto

B

onto but not one-one

C

both one-one and onto

D

neither one-one nor onto

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