1
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
Two finite sets have $m$ and $n$ elements. The total number of proper subsets of the first set is 119 more than the total number of subsets of the second set. Find the value of $m-n$
A
4
B
6
C
8
D
1
2
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $P=\{5 m: m \in N\}$ and $Q=\left\{5^m: m \in N\right\}$, where $N$ is set of natural numbers, then
A
$P=Q$
B
$P \subset Q$
C
$Q \subset P$
D
$P \cup Q=N$
3
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
4
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
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