1
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.
2
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
3
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
$[0,3]$
4
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $[x]^2-5[x]+6=0$, where $[x]$ denotes the greatest integer function, then

A
$x \in[2,3)$
B
$x \in[2,3]$
C
$x \in[2,4]$
D
$x \in[2,4)$
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