1
COMEDK 2024 Evening Shift
+1
-0

Which of the following relations on the set of real numbers $$\mathrm{R}$$ is an equivalence relation?

A
$$a R_1 b \Leftrightarrow|a|=|b|$$
B
$$a R_3 b \Leftrightarrow \text { adivides } b$$
C
$$a R_2 b \Leftrightarrow a \geq b$$
D
$$a R_4 b \Leftrightarrow a < b$$
2
COMEDK 2024 Evening Shift
+1
-0

The shaded region in the Venn diagram represents

A
$$A^{\prime} \cap B$$
B
$$A \cap B$$
C
$$(A \cap B)^{\prime}$$
D
$$A^{\prime} \cap B^{\prime}$$
3
COMEDK 2024 Evening Shift
+1
-0

Two finite sets have '$$m$$' and '$$n$$' number of elements respectively. The total number of subsets of the first set is 112 more than the total number of subsets of the second set. Then the values of $$\mathrm{m}$$ and $$\mathrm{n}$$ are respectively.

A
7, 4
B
7, 7
C
4, 4
D
4, 7
4
COMEDK 2024 Morning Shift
+1
-0

\begin{aligned} &\begin{aligned} & \text { A, B, C are subsets of the Universal set U } \\ & \text { If } \mathrm{A}=\{x: x \text { is even number, } x \leq 20\} \\ & \mathrm{B}=\{x: x \text { is multiple of } 3, x \leq 15\} \\ & \mathrm{C}=\{x: x \text { is multiple of } 5, x \leq 20\} \\ & \mathrm{U}=\text { Set of whole numbers } \end{aligned}\\ &\text { then the Venn diagram representing } \mathrm{U}, \mathrm{A}, \mathrm{B} \text { and } \mathrm{C} \text { is } \end{aligned}

A
B
C
D
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