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

$$\int_\limits{0.2}^{3.5}[x] \mathrm{d} x=$$ (where $[x]=$ greatest integer not greater than $x$ )

A
4
B
4.2
C
4.5
D
4.4
2
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $\mathrm{p}, \mathrm{q}$ and r be the statements

$\mathrm{p}: \mathrm{X}$ is an equilateral triangle

$\mathrm{q}: \mathrm{X}$ is isosceles triangle

r: q $\vee \sim p$,

then the equivalent statement of $r$ is

A
If X is not an equilateral triangle, then X is not an isosceles triangle
B
X is neither isosceles nor equilateral triangle
C
X is isosceles but not an equilateral triangle
D
If X is not an isosceles triangle, then X is not an equilateral triangle.
3
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The bacteria increase at the rate proportional to the number of bacteria present. If the original number N doubles in 8 hours, then the number of bacteria in 24 hours will be

A
8 N
B
16 N
C
32 N
D
64 N
4
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $\mathrm{f}(x)=x^3-6 x^2+9 x+3$ is monotonically decreasing function, then $x$ lies in

A
$(3, \infty)$
B
$(1,3)$
C
$[3, \infty)$
D
$[0,3]$
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