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1
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Express the set $$A=\{1,7,17,31,49\}$$ in set builder form

A
$$\left\{x \mid x=2 n^2-1\right.$$, where $$n \in \mathcal{N}$$ and $$\left.n < 5\right\}$$
B
$$\left\{x \mid x=2 n^2-3\right.$$, where $$n \in \mathcal{N}$$ and $$\left.2 \leq n \leq 8\right\}$$
C
$$\left\{x \mid x=2 n^2+1\right.$$, where $$n \in \mathcal{N}$$ and $$\left.n \leq 7\right\}$$
D
$$\left\{x \mid x=2 n^2-1\right.$$, where $$n \in \mathcal{N}$$ and $$\left.n \leq 5\right\}$$
2
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A=\{a, b, c\}, B=\{b, c, d\}$$ and $$C=\{a, d, c\}$$ then $$(A-B) \times(B \cap C)$$ is equal to

A
$$\{(a, c),(a, d)\}$$
B
$$\{(a, b),(c, d)\}$$
C
$$\{(c, a),(d, a)\}$$
D
$$\{(a, c),(a, d),(b, d)\}$$
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$n(A)=p$$ and $$n(B)=q$$, then the numbers of relations from the set $$A$$ to the set $$B$$ is

A
$$2^{p+q}$$
B
$$2^{p q}$$
C
$$p+q$$
D
$$p q$$
4
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
$$\left\{x: x^2=4, \quad x \in N\right\}$$
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