1
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The rate of change of the volume of a sphere with respect to its surface area, when its radius is 2 cm , is

A
$0.1 \mathrm{~cm}^3 / \mathrm{cm}^2$
B
$\frac{1}{2} \mathrm{~cm}^3 / \mathrm{cm}^2$
C
$1 \mathrm{~cm}^3 / \mathrm{cm}^2$
D
$2 \mathrm{~cm}^3 / \mathrm{cm}^2$
2
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The distance ' $s$ ' in meters covered by a body in $t$ seconds is given by $s=3 t^2-8 t+5$. The body will stop after

A
1 sec
B
$\frac{3}{4} \mathrm{sec}$
C
$\frac{4}{3} \mathrm{sec}$
D
4 sec
3
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The volume of a ball is increasing at the rate of $4 \pi \mathrm{cc} / \mathrm{sec}$. The rate of increase of the radius, when the volume is $288 \pi \mathrm{cc}$, is

A
$\frac{1}{6} \mathrm{~cm} / \mathrm{sec}$
B
$\frac{1}{36} \mathrm{~cm} / \mathrm{sec}$
C
$6 \mathrm{~cm} / \mathrm{sec}$
D
$36 \mathrm{~cm} / \mathrm{sec}$
4
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $\mathrm{f}(x)=(x-1)(x-2)(x-3), x \in[0,4]$. Values of C will be __________ if L.M.V.T. (Lagrange's Mean Value Theorem) can be applied.

A
$\frac{4-2 \sqrt{3}}{3}, \frac{4+2 \sqrt{3}}{3}$
B
$\frac{6-2 \sqrt{3}}{3}, \frac{6+2 \sqrt{3}}{3}$
C
$\frac{6-\sqrt{3}}{3}, \frac{6+\sqrt{3}}{3}$
D
$2-\sqrt{3}, 2+\sqrt{3}$
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