1
KCET 2025
MCQ (Single Correct Answer)
+1
-0
If $A$ and $B$ are two events such that $A \subset B$ and $P(B) \neq 0$, then which of the following is correct?
A
$\mathrm{P}(\mathrm{A} \mid \mathrm{B})=\frac{\mathrm{P}(\mathrm{B})}{\mathrm{P}(\mathrm{A})}$
B
$\mathrm{P}(\mathrm{A} \mid \mathrm{B})<\mathrm{P}(\mathrm{A})$
C
$\mathrm{P}(\mathrm{A} \mid \mathrm{B}) \geq \mathrm{P}(\mathrm{A})$
D
$\mathrm{P}(\mathrm{A})=\mathrm{P}(\mathrm{B})$
2
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
$\frac{9}{16}$
3
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
$\left|\mathrm{Z}_1+\mathrm{Z}_2\right| \geq\left|\mathrm{Z}_1\right|+\left|\mathrm{Z}_2\right|$
4
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
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12