Sets Test

Result

Sets Test - 15

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Which set is the subset of the set containing all the whole numbers?

A
$$\{1,2,3,4,.......\}$$

B
$$\{1\}$$

C
$$\{0\}$$

D
All of the above

Solution

Null set is the subset of all given sets as it can lie in all sets.
Question 2
1 / -0

The set of all those elements of A and B which are common to both is called

A
union of two sets

B
intersection of two sets

C
disjoint sets

D
none of these

Solution

The set of all those elements of A and B which are common to both is called A intersection B=$$A\cap B$$
Question 3
1 / -0

Given $$K=\left \{B, A, N, T, I\right \}$$. Then the number of subsets of K, that contain both A, N is

A
8

B
16

C
24

D
32

Solution

$$K=\left\{B,A,N,T,I\right\}$$
The number of subset of K that contain both A ,N=$$2^2=8$$
Question 4
1 / -0

Set $$A$$ has $$3$$ elements and set $$B$$ has $$6$$ elements. What can be the minimum number of elements in $$A\cup B$$?

A
$$6$$

B
$$3$$

C
$$9$$

D
$$18$$

Solution

$$A\cup B$$ must contain all the elements of the bigger set B.
Question 5
1 / -0

Given $$A=\{a,b,c,d,e,f,g,h\}$$ and $$B=\{a,e,i,o,u\}$$
then $$B-A$$ is equal to

A
$$\{i,o,u\}$$

B
$$\{a,b,c\}$$

C
$$\{c,d,e\}$$

D
$$\{a,,i,z\}$$

Solution

The sets $$A=\{a,b,c,d,e,f,g,h\}$$ and $$B=\{a,e,i,o,u\},$$ in order to find the difference between the two sets as $$B-A,$$ we begin by writing all the elements of $$B$$ and then take away every element of $$A$$ which is also the element of $$B$$. Since $$B$$ share the elements $$a,e$$ with $$A$$, so $$B-A=\{i,o,u\}.$$

$$B-A=\{i,o,u\}.$$
Question 6
1 / -0

Let $$A$$ $$=$$ set of all cuboids and B $$=$$ set of all cubes. Which of the following is true?

A
$$A\subset B$$

B
$$B\subset A$$

C
$$B=A$$

D
$$B\in A$$

Solution

Cube is a special cuboid.
Question 7
1 / -0

M represents the children in a class who have no brothers and 8 represents the children who have no sisters. $$+$$ denotes union, $$*$$ denotes intersection, and $$(^\prime)$$ denotes complement. The set of children who have no siblings is

A
$$S^\prime+M^\prime$$

B
$$(S*M)^\prime$$

C
$$(S+M)^\prime$$

D
$$S*M$$

Solution

Solution
As per De Morgan's Law,
$$\acute { \left( A\cup B \right) } =\acute { A } \cap \acute { B } $$.
Correct answer is C, that is Set of children having no children.
Question 8
1 / -0

Which of the following sets is finite?

A
$$\{x:x\:is\:an\:odd\:number\}$$

B
$$\{x:3 < x < 6,x\in R\}$$

C
Set of all prime numbers

D
Set of all sand particles on earth

Solution

The correct answer is B

A set is said to be a finite set, if it is either void set or the process of counting of elements surely comes to an end is called a finite set.

and in only case B the range is defined, and rest of them ranges are not defined.
Question 9
1 / -0

In Question some relationship have been expressed through symbols as defined below : (N-83)
+ - x $$\displaystyle\div $$ = > <
V $$\displaystyle\Lambda $$ ( ) U $$\displaystyle\cap $$ 0
In question only one of the five relationship is correct Find the correct one and encircle its serial number on the space provided against the question ______________.

A
24 $$\displaystyle\cap $$ 3 ( 4 V 2 ) 8

B
24 U 3 V 4 $$\displaystyle\Lambda $$ 2 ) 8

C
24 ( 3 0 4 ) 2 V 8

D
24 0 3 ( 4 $$\displaystyle\Lambda $$ 2 V 8

E
24 $$\displaystyle\Lambda $$ 3 V 4 U 2 ( 8

Solution

Answer (a) becomes-
24 > 3 x 4 + 2 ÷ 8
24 > 12 + 14 is correct
Question 10
1 / -0

Which of the following has only one subset?

A
$$\{0,1\}$$

B
$$\{1\}$$

C
$$\{0\}$$

D
$$\{\}$$

Solution

Empty set is the subset of itself.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Sets Test - 15

Result

Sets Test - 15

Score

-

Rank

-

SHARING IS CARING

Question 1

$$\{1,2,3,4,.......\}$$

$$\{1\}$$

$$\{0\}$$

All of the above

Solution

Question 2

union of two sets

intersection of two sets

disjoint sets

none of these

Solution

Question 3

8

16

24

32

Solution

Question 4

$$6$$

$$3$$

$$9$$

$$18$$

Solution

Question 5

$$\{i,o,u\}$$

$$\{a,b,c\}$$

$$\{c,d,e\}$$

$$\{a,,i,z\}$$

Solution

Question 6

$$A\subset B$$

$$B\subset A$$

$$B=A$$

$$B\in A$$

Solution

Question 7

$$S^\prime+M^\prime$$

$$(S*M)^\prime$$

$$(S+M)^\prime$$

$$S*M$$

Solution

Question 8

$$\{x:x\:is\:an\:odd\:number\}$$

$$\{x:3 < x < 6,x\in R\}$$

Set of all prime numbers

Set of all sand particles on earth

Solution

Question 9

24 $$\displaystyle\cap $$ 3 ( 4 V 2 ) 8

24 U 3 V 4 $$\displaystyle\Lambda $$ 2 ) 8

24 ( 3 0 4 ) 2 V 8

24 0 3 ( 4 $$\displaystyle\Lambda $$ 2 V 8

24 $$\displaystyle\Lambda $$ 3 V 4 U 2 ( 8

Solution

Question 10

$$\{0,1\}$$

$$\{1\}$$

$$\{0\}$$

$$\{\}$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.