Sets Test

Result

Sets Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

If aN = { ax : x ∈ N } , then the set 3N ∩ 7N is

A
4N

B
7N

C
10N

D
21N

Solution

Here 3N={3,6,9,...} and 7N = {7,14,21,...}

Hence 3N ∩ 7N = {21,42,...} = {21x : x ∈ N } = 21N
Question 2
1 / -0

The smallest set A such that A ∪ { 1,2 } = { 1,2,3,5,9 } is

A
{ 2,3,5 }

B
{ 1,2,5,9 }

C
{ 3,5,9 }

D
{4, 5, 6}

Solution

The union of two sets A and B is the set of elements in A, or B, or both.

so smallest set A={3,5,9}
Question 3
1 / -0

If A = { 0,1,5,4,7 }. Then the total number subsets of A are

A
32

B
40

C
64

D
20

Solution

in any set having n elements then Total no of subsets=2ⁿ

so total subset = 2⁵=32
Question 4
1 / -0

Which set is the subset of all given sets ?

A
{ 1,2,3,4 }

B
{ 0 }

C
{ }

D
{ 1 }

Solution

{ } denoted as null set.

and Null set is subset of all sets.
Question 5
1 / -0

If Q = { x : x = 1/y , where y ∈ N } , then

A
1 ∈ Q

B
1/2 ∉ Q

C
2 ∈ Q

D
0 ∈ Q

Solution

N is set of natural number,so

x = 1/y

when y=1 then x=1

so

1 ∈Q
Question 6
1 / -0

If A = {x : x ≠ x } represents

A
{ 0 }

B
{ 1 }

C
{ x }

D
{ }

Solution

here value of x is not possible so A is a null set.

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Re-Attempt Weekly Quiz Competition

Sets Test - 8

Result

Sets Test - 8

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Rank

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SHARING IS CARING

Question 1

4N

7N

10N

21N

Solution

Question 2

{ 2,3,5 }

{ 1,2,5,9 }

{ 3,5,9 }

{4, 5, 6}

Solution

Question 3

32

40

64

20

Solution

Question 4

{ 1,2,3,4 }

{ 0 }

{ }

{ 1 }

Solution

Question 5

1 ∈ Q

1/2 ∉ Q

2 ∈ Q

0 ∈ Q

Solution

Question 6

{ 0 }

{ 1 }

{ x }

{ }

Solution

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