1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
Oil from a conical funnel is dripping at the rate of $5 \mathrm{~cm}^3 / \mathrm{s}$. If the radius and height of the funnel are 10 cm and 20 cm respectively, then the rate at which the oil level drops when it is 5 cm from the top is
A
$\frac{8}{45 \pi} \mathrm{~cm} / \mathrm{s}$
B
$-\frac{2 \pi}{45} \mathrm{~cm} / \mathrm{s}$
C
$-\frac{4 \pi}{45} \mathrm{~cm} / \mathrm{s}$
D
$-\frac{4}{45 \pi} \mathrm{~cm} / \mathrm{s}$
2
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the third and fourth terms in the expansion $\left(2 x+\frac{1}{8}\right)^{10}$ are equal, then the value of $x$ is __________
A
$\frac{1}{8}$
B
$\frac{2}{7}$
C
$\frac{1}{6}$
D
$\frac{8}{3}$
3
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
Identify the correct statement
A
$A \cup A^{\prime}=\emptyset$
B
$A-B=A^{\prime} \cap B$
C
$(A \cup B)^{\prime}=A^{\prime} \cup B^{\prime}$
D
$A \subseteq B \Rightarrow B^{\prime} \subseteq A^{\prime}$
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\frac{x-1}{3+i}+\frac{y-1}{3-i}=i$ then $(y, x)=$
A
$(-6,-4)$
B
$(-4,-6)$
C
$(6,-4)$
D
$(-4,6)$
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