1
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

Which of the following is a singleton set?

A
$$\left\{x: x^2=4, \quad x \in R\right\}$$
B
$$\{x:|x|<4, \quad x \in N\}$$
C
$$\{x:|x|<-4, \quad x \in N\}$$
D
$$\left\{x: x^2=4, \quad x \in N\right\}$$
2
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

Let $$X$$ and $$Y$$ be the set of all positive divisors of 400 and 1000 respectively (including 1 and the number). Then $$n(X \cap Y)$$ is equal to

A
12
B
10
C
8
D
6
3
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

In the set $$\mathrm{W}$$ of whole numbers an equivalence relation $$\mathrm{R}$$ is defined as follows $$\mathrm{aRb}$$ iff both $$\mathrm{a}$$ & $$\mathrm{~b}$$ leave the same reminder when divided by 5. The equivalence class of 1 is given by.

A
$$ \{2,7,12,17------\} $$
B
$$ \{1,6,11,16------\} $$
C
$$ \{4,9,14,19------\} $$
D
$$ \{0,5,10,15------\} $$
4
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

If $$A=\{3,5,7\}$$ and $$B=\{1,2,3,5\}$$, then $$A \times B \cap B \times A$$ is equal to

A
$$\{(3,3),(5,3),(2,7),(7,2)\}$$
B
$$\{(3,3),(3,5),(5,3),(5,5)\}$$
C
$$\{(3,3),(5,5)\}$$
D
$$\{(3,5),(5,5),(5,3)\}$$
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