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1
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0

A function $f$ from the set of natural numbers to integers defined by

$$f(n)=\left\{\begin{array}{l} \frac{n-1}{2}, \quad \text { when } n \text { is odd } \\ -\frac{n}{2}, \quad \text { when } n \text { is even } \end{array} \quad\right. \text { is }$$

A
neither one-one nor onto
B
one-one but not onto
C
onto but not one-one
D
one-one and onto
2
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
If a function $f:[2, \infty) \rightarrow R$ defined by $f(x)=x^2-4 x+5$, then the range of $f$ is
A
$[2, \infty)$
B
$[5, \infty)$
C
$R$
D
$[1, \infty)$
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The domain of the function $$y=\frac{1}{\log _{10}(3-x)}+\sqrt{x+7}$$ is

A
$$[-7,3]-\{1\}$$
B
$$(-7,3)-\{0\}$$
C
$$[-7,3)-\{2\}$$
D
$$(-7,3)$$
4
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$\text { Which of the following function is injective? }$$

A
$$ f(x)=x^2+2, x \in(-\infty, \infty) $$
B
$$ f(x)=|x+2|, x \in[-2, \infty) $$
C
$$ f(x)=\frac{4 x^2+3 x-5}{4+3 x-5 x^2}, x \in(-\infty, \infty) $$
D
$$ f(x)=(x-4)(x-5), x \in(-\infty, \infty) $$
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