1
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
For real numbers $x$ and $y, x R y \Leftrightarrow x-y+\sqrt{2}$ is an irrational number. Then the relation R is:
A
Reflexive
B
Symmetric
C
Transitive
D
Equivalence
2
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

Let $A=\{x: x=4 n+1, n \in Z, 0 \leq n<4\}$

$$\begin{aligned} & B=\{x: x=15 n+4, n \in N, n \leq 3\} \\ & C=\{x: x \text { is a prime number }, x \in A \cup B\} \end{aligned}$$

Then the cardinal number of set C is

A
$\emptyset$
B
3
C
4
D
5
3
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
If $A=\{1,2,4\} \quad B=\{2,4,5\} \quad C=\{2,5\}$ then $(A-B) \cap(B-C)=$
A
$\{2,4,5\}$
B
$\{1,2,4,5\}$
C
$\emptyset$
D
$\{4,5\}$
4
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

The inequality representing the following graph is

COMEDK 2025 Afternoon Shift Mathematics - Sets and Relations Question 4 English

A
$x \in\left(\frac{11}{2}, \infty\right)$
B
$x \in\left[\frac{11}{2}, \infty\right)$
C
$x \in\left(-\infty, \frac{11}{2}\right)$
D
$x \in\left(-\infty, \frac{11}{2}\right]$
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