Finite Set

Q.

Find six rational number between $2$ and $3$

Q.

Question 12 (f)

Fill in the blanks:

The smallest even number is _______.

Q.

Which of the following is a rational number between $\frac{1}{4}$ and $\frac{1}{3}$?

1. $\frac{1}{2}$

2. $\frac{1}{6}$

3. $\frac{7}{24}$

4. $\frac{2}{3}$

Q.

Define singleton set with an example. Is a set of even prime numbers a singleton?

Q.

List all even prime numbers$?$

Q.

Are all prime numbers odd?

Q.

What do you mean by the multiples and the sub-multiples of units?

Q.

The set A = {0} is an empty set.

1. False

2. True

Q.

There are $51$ houses on a street. Each house has an address between $1000$ and $1099$, inclusive. Show that at least two houses have addresses that are consecutive integers.

Q.

Six cards and six envelopes are numbered $1,2,3,4,5,6$ and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover the card numbered$1$ is always placed in envelope numbered $2.$ Then the number of ways it can be done is

Q.

Express each of the following numbers as the sum of two odd primes:

$44$

Q. Is 27 is a perfect number ?

Q.

Identify the finite and infinite sets and find the cardinal numbers of the finite sets$.$

$B=\{x:x<5$and $x\in W\}$

Q.

What are the minimum number of lines to make a polygon

Q.

Write $67$ as the sum of three prime numbers.

Q.

If A = {x : x = $n^2,n\in N,n\le 4\}$, then which of the following statements are correct?

1. A null set

2. A singleton set

3. A finite set

4. Not a well defined collection

Q.

If A = {set of even prime numbers}, then A is

1. Empty set

2. Infinite set

3. Singleton set

4. not a set

Q. If $A$ is the set of even prime numbers, then $A$ is a/an .

1. empty set
2. singleton set
3. infinite set

Q.

The set A = {5} is ___.

Q.

Express the following as the sum of two odd primes.

(a) 44 (b) 36 (c) 24 (d) 18

Q.

If A is the set of prime numbers between 5 and 11, then set A is

1. Singleton set

2. Infinite set

3. Finite set

4. Null set

Q.

A set of schools in India is finite or not.

Q.

Represent the following by a venn diagram$.$

$M=\left\{c,a,k,e\right\}$ and $N=\left\{d,a,r,k\right\}$

Q. If A is the set of even prime numbers, then A is a/an

1. Empty set

2. Singleton set

3. Infinite set

4. not a set

Q. Express each of the following numbers as the sum of two odd primes:
(i) 36
(ii) 42
(iii) 84
(iv) 98

Q.

what is closure property. ?

Q.

If $A=\{x:x=oddnumberlessthan3,andxϵN\}$ then set A is

1. a null set

2. an infinite set

3. a singleton set

4. none of the above

Q.

Express each of the following numbers as the sum of three odd primes:

(a) 21 (b) 31 (c) 53 (d) 61

Q.

Classify the following set into the empty set, finite set, or infinite set. In the case of a finite set, find the cardinal number.

$\left\{x:x\text{is a prime factor of}36\right\}$

Q.

The set $B=\{x:x=3n+1,n\in W\text{and}n\le 5\}$ is a finite set.

1. True

2. False