1
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Consider the following list of ordered pairs: $(1,0),(-2,-1),(7,-6),(-3,4)$ and $(0,2)$

Which of the following options correctly identifies only those pairs that are NOT elements of the relation $R=\{(x, y): y=1-|x| ; x, y \in \mathbb{Q}\}$ ?

A

$(1,0),(-2,-1)$

B

$(0,2),(-2,-1)$

C

$(-3,4),(0,2)$

D

$(-3,4),(7,-6)$

2
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The set expression $A \cup\left(B \cap\left(A^{\prime} \cup B^{\prime}\right)\right)$ is equivalent to

A

$\left(A^{\prime} \cup B^{\prime}\right)^{\prime}$

B

$\xi$ (Universal set)

C

$A \cup B$

D

$A \cap B^{\prime}$

3
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
The relation $R=\{(1,1),(2,2),(3,3)\}$ on the set $\{1,2,3\}$ is
A
symmetric only
B
an equivalence relation
C
transitive only
D
reflexive only
4
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

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