1
KCET 2025
MCQ (Single Correct Answer)
+1
-0

Meera visits only one of the two temples A and B in her locality. Probability that she visits temple A is $\frac{2}{5}$. If she visits temple $A, \frac{1}{3}$ is the probability that she meets her friend, whereas it is $\frac{2}{7}$ if she visits temple $B$. Meera met her friend at one of the two temples. The probability that she met her at temple B is

A
$\frac{7}{16}$
B
$\frac{5}{16}$
C
$\frac{3}{16}$
D
$\frac{9}{16}$
2
KCET 2025
MCQ (Single Correct Answer)
+1
-0

If $Z_1$ and $Z_2$ are two non-zero complex numbers, then which of the following is not true?

A
$\overline{Z_1+Z_2}=\bar{Z}_1+\bar{Z}_2$
B
$\left|Z_1 Z_2\right|=\left|Z_1\right| \cdot\left|Z_2\right|$
C
$\overline{\mathrm{Z}_1 \mathrm{Z}_2}=\overline{\mathrm{Z}}_1 \cdot \overline{\mathrm{Z}}_2$
D
$\left|\mathrm{Z}_1+\mathrm{Z}_2\right| \geq\left|\mathrm{Z}_1\right|+\left|\mathrm{Z}_2\right|$
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0

Consider the following statements :

Statement(I) : The set of all solutions of the linear inequalities $3 \mathrm{x}+8<17$ and $2 \mathrm{x}+8 \geq 12$ are $\mathrm{x}<3$ and $x \geq 2$ respectively.

Statement(II) : The common set of solutions of linear inequalities $3 x+8<17$ and $2 x+8 \geq 12$ is $(2,3)$ Which of the following is true?

A
Statement (I) is true but statement (II) is false
B
Statement (I) is false but statement (II) is true
C
Both the statements are true
D
Both the statements are false
4
KCET 2025
MCQ (Single Correct Answer)
+1
-0
The number of four digit even number that can be formed using the digits $0,1,2$ and 3 without repetition is
A
6
B
10
C
4
D
12
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