1
AP EAPCET 2025 - 22nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ (\mathbf{a}+2 \mathbf{b}-\mathbf{c}) \cdot(\mathbf{a}-\mathbf{b}) \times(\mathbf{a}-\mathbf{b}-\mathbf{c})= $$

A

[abc]

B

$3[\mathrm{abc}]$

C

$[\mathrm{abc}]^2$

D

$2[a b c]$

2
AP EAPCET 2025 - 22nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Variance of the following discrete frequency distribution is

$$ \begin{array}{llllll} \hline \text { Class Interval } & 0-2 & 2-4 & 4-6 & 6-8 & 8-10 \\ \hline \text { Frequency } & 2 & 3 & 5 & 3 & 2 \\ \hline \end{array} $$

A

$\frac{463}{15}$

B

$\frac{838}{15}$

C

$\frac{44}{5}$

D

$\frac{88}{15}$

3
AP EAPCET 2025 - 22nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

An unbiased coin is tossed 8 times. The probability that head appears consecutively at least 5 times is

A

$\frac{5}{256}$

B

$\frac{5}{128}$

C

$\frac{5}{64}$

D

$\frac{5}{32}$

4
AP EAPCET 2025 - 22nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A box contains twelve balls of which 4 are red, 5 are green and 3 are white. If three balls are drawn at random simultaneously from the box, then the probability that exactly 2 balls have the same colour is

A

$\frac{27}{44}$

B

$\frac{29}{44}$

C

$\frac{17}{22}$

D

$\frac{31}{44}$