1
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The arithmetic mean of marks in Mathematics for four divisions A, B, C and D were $$80,75,70$$ and 72 respectively. Their standard deviations were $$12,6,8$$ and 10 respectively. Then, division ______ has more uniformity.

A
D
B
B
C
C
D
A
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the angle between the lines is $$\frac{\pi^{\mathrm{C}}}{4}$$ and slope of one of the lines is $$\frac{1}{2}$$, then slope of the other line is

A
3 or $$-\frac{1}{3}$$
B
4 or $$-\frac{1}{4}$$
C
2 or $$-\frac{1}{2}$$
D
3 or $$-3$$
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$f(x)=\log |\sin x|$$, where $$x \in(0, \pi)$$ is strictly increasing on

A
$$\left(\frac{\pi}{2}, \pi\right)$$ only
B
$$(0, \pi)$$ only
C
$$\left(0, \frac{\pi}{2}\right)$$ only
D
$$\left(\frac{\pi}{4}, \frac{3 \pi}{4}\right)$$ only
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The velocity of a particle at time $$t$$ is given by the relation $$v=6 t-\frac{t^2}{6}$$. Its displacement S is zero at $$\mathrm{t}=0$$, then the distance travelled in $$3 \mathrm{~sec}$$ is

A
$$\frac{51}{2}$$ units
B
$$\frac{39}{2}$$ units
C
$$\frac{57}{2}$$ units
D
$$\frac{33}{2}$$ units
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