1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The order of the differential equation $\frac{d}{d x}\left[\left(\frac{d y}{d x}\right)^3\right]=0$ is
A
not defined
B
1
C
2
D
3
2
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
Find the value of $\lim\limits_{h \rightarrow 0} \frac{(a+h)^2 \sin (a+h)-a^2 \sin a}{h}$
A
$-a^2 \sin a$
B
0
C
1
D
$a^2 \cos a+2 a \sin a$
3
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
$0.2+0.22+0.022+\ldots \ldots \ldots$. up to $n$ terms is equal to
A
$\frac{2}{9}-\frac{2}{81}\left(1-10^{-n}\right)$
B
$\frac{2}{9}\left[n-\frac{1}{9}\left(1-10^{-n}\right)\right]$
C
$\frac{2}{9}\left(1-10^{-n}\right)$
D
$\frac{n}{9}\left(1-10^{-n}\right)$
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The solution set of the system of inequalities $5-4 x \leq-7$ or $5-4 x \geq 7, x \in R$ is
A
$\left(-\infty,-\frac{1}{2}\right) \cap[3, \infty)$
B
$\left(-\infty,-\frac{1}{2}\right) \cup(3, \infty)$
C
$\left(-\infty,-\frac{1}{2}\right] \cap(3, \infty)$
D
$\left(-\infty,-\frac{1}{2}\right] \cup[3, \infty)$
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