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Question 11 Mark

If $M = {x : x ∈ N$ and $x < 3$}, then M has _____ proper subsets.

Answer

If M = {x: x ∈ N and x < 3}, = {1, 2}
Then M has proper subsets $= 2^2 - 1 = 4 - 1 = 3$

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Question 21 Mark

If $C = {0}$, then number of subsets of $C$ = _____.

Answer

If C = {0}, then number of subsets of $C = 2^1 = 2.$

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Question 31 Mark

If $B = {5, 4, 6, 8}$, then number of proper subsets of $B$ = ____.

Answer

If $B = {5, 4, 6, 8}$, then number of proper subsets of$ B = 2^4 – 1 = 2 \times 2 \times 2\times 2 – 1 = 16 – 1 = 15.$

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Question 41 Mark

If A = {p, q, r}, then number of subsets of A = ______.

Answer

If A = {p, q, r}, then number of subsets of A = 2³ = 2×2×2 = 8

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Question 51 Mark

If A is a proper subset of B, then n (A) _____ n (B).

Answer

If A is a proper subset of B, then n(A) is less than n(B)

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Question 61 Mark

The empty set is a ____ of every set.

Answer

The empty set is a subset of every set.

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Question 71 Mark

Every set is a _____ of itself.

Answer

Every set is a subset of itself.

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Question 81 Mark

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.
Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make the following is true: 12 ______ A.

Answer

12 ∈ A

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Question 91 Mark

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.
Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make the following is true: (15 - 9) ____ B.

Answer

15 – 9 or 6 ∉ B

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Question 101 Mark

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.
Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make the following is true: (6 + 3) ____ B.

Answer

(6 + 3) or 9 ∈ B

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Question 111 Mark

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.
Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make the following is true: 18 ____ B.

Answer

18 ∈ B

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Question 121 Mark

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.
Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make the following is true: 10 ____ B.

Answer

10 ∉ B.

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Question 131 Mark

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.
Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make each of the following true: 6 ____ A.

Answer

6 ∈ A.

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