1
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

Out of 100 people selected at random, 10 have common cold. If five persons selected at random from the group, then the probability that at most one person will have common cold is

A
0.9851
B
0.9185
C
0.9245
D
0.9254
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the line $$r=(\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}})+\lambda(2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \hat{\mathbf{k}})$$ is parallel to the plane $$r \cdot(3 \hat{i}-2 \hat{\mathbf{j}}+m \hat{\mathbf{k}})=10$$, then the value of $$m$$ is

A
$$-$$2
B
3
C
2
D
$$-$$3
3
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $$G$$ be the centroid of a $$\triangle A B C$$ and $$\mathrm{O}_{b_\theta}$$ other point in that plane, then $$\mathrm{OA}+\mathrm{OB}+\mathrm{OC}+\mathrm{CG}=$$

A
O
B
4 OG
C
3 OG
D
2 OG
4
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The points $$A(-a,-b), B(0,0), C(a, b)$$ and $$D\left(a^2, a b\right)$$ are

A
vertices of a square
B
vertices of a parallelogram
C
collinear
D
vertices of a rectangle
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