1
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

In a certain culture of bacteria, the rate of increase is proportional to the number of bacteria present at that instant. It is found that there are 10,000 bacteria at the end of 3 hours and 40,000 bacteria at the end of 5 hours, then the number of bacteria present in the beginning are

A
1250
B
1200
C
1350
D
1300
2
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$x, y, z$$ are in A.P. and $$\tan ^{-1} x, \tan ^{-1} y$$ and $$\tan ^{-1} z$$ are also in A.P., then

A
$$x=y=z$$
B
$$2 x=3 y=6 z$$
C
$$6 x=3 y=2 z$$
D
$$6 x=4 y=3 z$$
3
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Mean and variance of six observations are 8 and 16 respectively. If each observation is multiplied by 3, then new variance of the resulting observations is

A
16
B
48
C
24
D
144
4
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The differential equation of all circles, passing through the origin and having their centres on the $$\mathrm{X}$$-axis, is

A
$$y^2=x^2+x y \frac{\mathrm{d} y}{\mathrm{~d} x}$$
B
$$x^2=y^2+2 x y \frac{\mathrm{d} y}{\mathrm{~d} x}$$
C
$$y^2=x^2+2 x y \frac{\mathrm{d} y}{\mathrm{~d} x}$$
D
$$x^2=y^2-x y \frac{\mathrm{d} y}{\mathrm{~d} x}$$
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