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

If $\mathrm{A}=\left\{\mathrm{x}: \mathrm{x}\right.$ is an integer and $\left.\mathrm{x}^2-9=0\right\}$

$B=\{x: x$ is a natural number and $2 \leq x<5\}$

$\mathrm{C}=\{\mathrm{x}: \mathrm{x}$ is a prime number $\leq 4\}$

Then $(B-C) \cup A$ is,

A
$\{-3,3,4\}$
B
$\{2,3,4\}$
C
$\{3,4,5\}$
D
$\{2,3,5\}$
2
KCET 2025
MCQ (Single Correct Answer)
+1
-0

$A$ and $B$ are two sets having 3 and 6 elements respectively. Consider the following statements.

Statement (I): Minimum number of elements in AUB is 3

Statement (II): Maximum number of elements in AB is 3 Which of the following is correct?

A
Statement (I) is true, statement (II) is false
B
Statement (1) is false, statement (II) is true
C
Both statements (1) and (II) are true
D
Both statements (I) and (II) are false
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0

$$ \text { Let } A=\{a, b, c\} \text {, then the number of equivalence relations on A containing }(b, c) \text { is } $$

A
1
B
3
C
2
D
4
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
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