1
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The area (in sq units) enclosed by the parabola } y^2=8 x \text {, its latus-rectum and the } x \text {-axis is } $$

A
$$ \frac{16}{3} $$
B
$$ \frac{16 \sqrt{2}}{3} $$
C
$$ \frac{32}{3} $$
D
$$ \frac{8}{3} $$
2
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The most economical proportion of the height of a covered box of fixed volume whose base is a rectangle with one side three times as long as the other, is

A
$$\frac{3}{2} \times$$ shorter side of base
B
Equal to shorter side of base
C
$$\frac{1}{2} \times$$ shorter side of base
D
3 times shorter side of base
3
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Express the set $$A=\{1,7,17,31,49\}$$ in set builder form

A
$$\left\{x \mid x=2 n^2-1\right.$$, where $$n \in \mathcal{N}$$ and $$\left.n < 5\right\}$$
B
$$\left\{x \mid x=2 n^2-3\right.$$, where $$n \in \mathcal{N}$$ and $$\left.2 \leq n \leq 8\right\}$$
C
$$\left\{x \mid x=2 n^2+1\right.$$, where $$n \in \mathcal{N}$$ and $$\left.n \leq 7\right\}$$
D
$$\left\{x \mid x=2 n^2-1\right.$$, where $$n \in \mathcal{N}$$ and $$\left.n \leq 5\right\}$$
4
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ (32) \times(32)^{\frac{1}{6}} \times(32)^{\frac{1}{36}} \times-----\infty \text { is equal to } $$

A
16
B
32
C
0
D
64
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