# Cardinality of Sets

## Trending Questions

**Q.**

What is the cardinality of set?

**Q.**

If $A,B,C$ be three sets such that $A\cup B=A\cup C$ and $A\cap B=A\cap C$, then

$A=B$

$B=C$

$A=C$

$A=B=C$

**Q.**Write a pair of integers whose product is -12 and which has seven integers between them

**Q.**

If A and B are disjoint sets, then the value of n(A∩B) = ____.

2

0

1

3

**Q.**Choose the pair of integer whose sum is -3

- -2, -2
- -2, -1
- -5, 3
- 4, -1

**Q.**

**Let **$x=\{n\in N:1\le n\le 50\}$**. If **$A=\{n\in x:n$** is a multiple of **$2$**} and **$B=\{n\in x:n$** is a multiple of **$7$**}, then the number of elements in the smallest subset of ‘**$x$**’ containing both A & B is**

**Q.**on the first day of the month of september , jeevan noticed just one lotus flower in the pond near his house . the next day he noticed that the pond had two flowers . on the third day he noticed four flowers . on the fourth day he noticed that the pond had eight flowers . and this pattern continued everyday . on the 10th of september , his pond was half full . on what date will the pond be full of lotus flowers ? express the number of flowers in exponential form when it is full.

**Q.**If A : B = 3 : 5 and B : C = 4 : 7 , find A: B : C

**Q.**

Sets having the same cardinal number and same elements are called _________ sets.

equal

null

disjoint

- universal

**Q.**

Cardinal number of the set A = { x: x is even prime number} is ____.

2

Infinite

0 (Zero)

1

**Q.**

Question 118 (ii)

Language Application

Given below are few mathematical terms.

Find

The percentage of consonants in each of the terms.

**Q.**

If A = {set of integers between -2 and 4}, then n(A) = ___.

5

4

7

6

**Q.**If A∪B={1, 2, 3, 5, 6, 7, 9}, B={2, 5, 7, 9}, A∩B={2, 5}, then represent A, B in Venn-diagrams and verify the relation n(A∪B)+n(A∩B)=n(A)+n(B).

**Q.**

Find the number whose $25\%$ is $36$.

**Q.**

Find the number whose $35\%$ is $42$.

**Q.**

If a=pl.qm.rn and b=px.qy.rz where p, q, r are primes and p<q<r and l, m, n, x, y, z are all natural numbers. Given HCF = p2.q3.r and LCM = p3.q4.r3, which one of the following is NOT true?

l + x = 5

m + y = 7

n + z = 4

l + m + n = x + y + z

**Q.**

- 125
- 128
- 325
- 304

**Q.**

The cardinal number of the set A = {Present Prime minister of India} is

n (A) = 2

n (A) = 0

n (A) = 1

n (A) = 3

**Q.**

The set A = {0}. Then n(A)

**Q.**A survey show that 73% of the indians like apples, where as 65% like oranges. What percentage of indian like both apples and oranges?

**Q.**

Aju scored 70 in 1st test and 85 in 2nd test of Mathmatics out of 100. What is percentage increase in marks scored by him?

[3 MARKS]

**Q.**

Find the number whose $68\%$ is $34$.

**Q.**

Answer the following from the adjoining venn diagram$.$

Are $A$ and $B$ disjoint sets$.$

**Q.**Consider the set of all determinants of order 3 with entries 0 or 1 only, Let B be the subset of A consisting of all determinants with value 1. Let C be the subset of the set of all determinants with value −1. Then

- C is empty
- B has as many elements as C
- B has twice as many elements as C.
- A=B∪C

**Q.**Let U be the universal set containing 700 elements . if A, B are sub-sets of U such that n (A) =200, n (B) = 300 and n (A∩B)=100, n(A∪B)=

- 400
- 600
- 300
- none of these

**Q.**

Cardinal number of the set A = { x: x is neither prime nor composite number} is ____.

Infinite

0 (Zero)

1

2

**Q.**

For any two sets $A$ and $B$ if $A\cap X=B\cap X=\varphi $ and $A\cup X=B\cup X$ for some set $X$, then

$A\u2013B=A\cap B$

$A=B$

$B\u2013A=A\cap B$

None of these

**Q.**Let n(U)=700, n(A)=200, n(B)=300 and n(A∩B)=100. Then, n(Ac∩Bc)=

- 600
- 300
- 200
- 400

**Q.**

If A = {5, 6, 7, 8} B = {7, 8, 9, 11}, A ∪ B =

{5, 6, 7, 8, 9, 10, 11}

{5, 6, 7, 8, 9, 11}

{9, 11}

{5, 6, 7, 8}

**Q.**

How many numbers (integers) are found in between the numbers -8 and 3?

8

7

10

9