1
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $$\mathbf{a}=x \hat{i}+y \hat{j}+z \hat{k}$$ and $$x=2 y$$. If $$|\mathbf{a}|=5 \sqrt{2}$$ and a makes an angle of $$135^{\circ}$$ with the Z-axis, then $$\mathbf{a}=$$

A
$$2 \sqrt{3} \hat{i}+\sqrt{3} \hat{j}-3 \hat{k}$$
B
$$2 \sqrt{6} \hat{i}+\sqrt{6} \hat{j}-6 \hat{k}$$
C
$$2 \sqrt{5} \hat{i}+\sqrt{5} \hat{j}-5 \hat{k}$$
D
$$2 \sqrt{5} \hat{i}+\sqrt{5} \hat{j}+5 \hat{k}$$
2
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $$\mathbf{a}, \mathbf{b}, \mathbf{c}$$ be the position vectors of the vertices of a $$\triangle A B C$$. Through the vertices, lines are drawn parallel to the sides to form the $$\Delta A^{\prime} B^{\prime} C^{\prime}$$. Then, the centroid of $$\Delta A^{\prime} B^{\prime} C^{\prime}$$ is

A
$$\frac{a+b+c}{9}$$
B
$$\frac{a+b+c}{6}$$
C
$$\frac{a+b+c}{3}$$
D
$$\frac{2(a+b+c)}{3}$$
3
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The mean deviation about the mean for the following data.

$$5,6,7,8,6,9,13,12,15 \text { is }$$

A
1.55
B
2.88
C
3.89
D
5
4
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

A box contains 100 balls, numbered from 1 to 100 . If 3 balls are selected one after the other at random with replacement from the box, then the probability that the sum of the three numbers on the balls selected from the box is an odd number, is

A
$$1 / 2$$
B
$$3 / 4$$
C
$$3 / 6$$
D
$$1 / 8$$
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