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Question 511 Mark

Write the cardinal number of the following set:
D = Set of letters in the word “PANIPAT”.

Answer

D = Set of letters in the word “PANIPAT”:
n(D) = 5

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Question 521 Mark

Write the cardinal number of the following set:
C = {x : x ∈ N and x ≤ 7}

Answer

C = {x : x ∈ N and x ≤ 7}
n(C) = 7

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Question 531 Mark

Write the cardinal number of the following set:
B = Set of numbers on a clock-face.

Answer

B = Set of numbers on a clock-face.
n(B) = 12

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Question 541 Mark

Write the cardinal number of the following set:
A = Set of days in a leap year.

Answer

A = Set of days in a leap year.
n(A) = 366

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Question 551 Mark

Given: D = {x: x is a prime number less than 25}. Write the set in roster form.

Answer

D = {x: x is a prime number less than 25}.
= {2, 3, 5, 7, 11, 13, 17, 19, 23}

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Question 561 Mark

Given: C = {x : x is a multiple of 3 and is less than 25}. Write the set in roster form.

Answer

C = {x : x is a multiple of 3 and is less than 25}.
= {3, 6, 9, 12, 15, 18,21,24}

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Question 571 Mark

Given: B = {x : x is a square of a natural number and is less than 25}. Write the set in roster form.

Answer

B = {x : x is a square of a natural number and is less than 25}.
= {1,4,9,16}

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Question 581 Mark

Given: A = {x : x is a multiple of 2 and is less than 25}. Write the set in roster form.

Answer

A = {x : x is a multiple of 2 and is less than 25}:
= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}

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Question 591 Mark

Express the following sets in set- builder notation (form):
{42, 49, 56, 63, 70, 77}

Answer

{42, 49, 56, 63, 70, 77}
= (x: x is a natural number divisible by 7 ; 42 ≤x ≤ 77}

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Question 601 Mark

Express the following sets in set- builder notation (form):
$\left\{\frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \frac{1}{6}, \frac{1}{7}, \frac{1}{8}\right\}$

Answer

$\left\{\frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \frac{1}{6}, \frac{1}{7}, \frac{1}{8}\right\}$
$=\left\{\mathrm{x}: \mathrm{x}=\frac{1}{\mathrm{n}}\right.$ when $\mathrm{n}$ is a natural number: $\left.3 \leq \mathrm{n} \leq 8\right\}$

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Question 611 Mark

Express the following sets in set- builder notation (form):
{23, 25, 27, 29, … }

Answer

{23, 25, 27, 29, … }
= {x : x is an odd natural number; x ≥ 23}

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Question 621 Mark

Express the following sets in set- builder notation (form):
{Monday, Tuesday, Wednesday}

Answer

{Monday, Tuesday, Wednesday}
= {x : x is one of the first three days of 3 week}

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Question 631 Mark

Express the following sets in set- builder notation (form):
{0, 2, 4, 6, 8, 10, 12, …. }

Answer

{0, 2, 4, 6, 8, 10, 12, …. }
= {x : x is a whole number divisible by 2}

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Question 641 Mark

Express the following sets in set- builder notation (form):
{1, 4, 9,16, 25, 36}

Answer

{1, 4, 9,16, 25, 36}
= {x : x is a perfect square ; x < 36}

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Question 651 Mark

Express the following sets in set- builder notation (form):
{2, 3, 5, 7, 11, 13, ...}

Answer

{2, 3, 5, 7, 11, 13, ...}
= {x : x is a prime number}

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Question 661 Mark

Express the following sets in set- builder notation (form):
{3, 6, 9, 12, 15}

Answer

{3, 6, 9, 12, 15}
= {x: x is a natural number divisible by 3; x< 18}

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Question 671 Mark

Express the following sets in roster form:
J = {x: x e N and 2x – 3 ≤17}

Answer

$\begin{aligned} & 2 x-3 \leq 17 \\ & \Rightarrow 2 x \leq 17+32 x \leq 20 \\ & \Rightarrow x \leq \frac{20}{2} \\ & x \leq 10 \\ & \therefore J=\{1,2,3,4,5,6,7,8,9,10\}\end{aligned}$

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Question 681 Mark

Express the following sets in roster form:
H = {x : x eW and x < 10}

Answer

H = {x : x eW and x < 10}:
H = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

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Question 691 Mark

Express the following sets in roster form:
G = Set of names of three closed figures in Geometry.

Answer

G = Set of names of three closed figures in Geometry:
G = {Triangle, quadrilateral, circle}

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Question 701 Mark

Express the following sets in roster form:
F = Set of factors of 24.

Answer

F = Set of factors of 24:
F={l,2, 3, 4, 6, 8, 12, 24}

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Question 711 Mark

Express the following sets in roster form:
E = Set of natural numbers below 30 which are divisible by 2 or 5.

Answer

E = Set of natural numbers below 30 which are divisible by 2 or 5:
E = {2, 4, 5, 6, 8, 10, 12, 14, 15, 16, 18, 20, 22, 24, 25, 26, 28}

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Question 721 Mark

Express the following sets in roster form:
D = Set of Prime numbers from 2 to 23.

Answer

D = Set of Prime numbers from 2 to 23:
D = {2, 3, 5, 7, 11, 13, 17, 19,23}

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Question 731 Mark

Express the following sets in roster form:
C = {All composite numbers between 2 and 20}

Answer

C = {All composite numbers between 2 and 20}:
C = {4, 6, 8, 9, 10, 12, 14, 15, 16, 18}

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Question 741 Mark

Express the following sets in roster form:
Set of all integers between 7 and 94; which are divisible by 6.

Answer

Set of all integers between 7 and 94; which are divisible by 6: {12, 18, 24; 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90}

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Question 751 Mark

Express the following sets in roster form:
S = {Squares of first eight whole numbers}

Answer

S = {Squares of first eight whole numbers}:
S = {0, 1, 4, 9, 16, 25, 36, 49}

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Question 761 Mark

Express the following sets in roster form:
P = {x : x is a vowel used in the word ‘ARITHMETIC’}

Answer

P = {x : x is a vowel used in the word ‘ARITHMETIC’}:
P = {a, e, i}

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Question 771 Mark

Express the following sets in roster form:
B = {All even numbers from 15 to 26}

Answer

B = {All even numbers from 15 to 26}:
B = {16, 18, 20, 22, 24, 26}

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Question 781 Mark

Express the following sets in roster form:
A = Set of letters in the word “CHITAMBARAM”

Answer

A = Set of letters in the word “CHITAMBARAM”:
A = (C, H, I, T, A, M, B, R}

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Question 791 Mark

Express the following sets in roster form:
Set of odd whole numbers between 15 and 27.

Answer

Set of odd whole numbers between 15 and 2 :
{17, 19, 21, 23, 25}

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Question 801 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 and 8 ____ A

Answer

6 and 8 ∈ A

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Question 811 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 + 8) ____A.

Answer

6 + 8 or 14 ∉ A

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Question 821 Mark

Find, whether or not, of the following collection represent a set:
The collection of books in the library and are of your interest.

Answer

It is a set.

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Question 831 Mark

Find, whether or not, of the following collection represent a set:
The collection of interesting books in your school library.

Answer

It is not a set as it is not well defined.

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Question 841 Mark

Find, whether or not, of the following collection represent a set:
The collection of fat-people in your colony.

Answer

It is not a set as it is not well defined.

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Question 851 Mark

Find, whether or not, of the following collection represent a set:
The collection of the numbers between 30 and 45.

Answer

It is a set.

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Question 861 Mark

Find, whether or not, of the following collection represent a set:
The collection of good students in your school.

Answer

It is not a set as it is not well defined.

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Generate Paper Free All Set Concepts (Some Simple Divisions by Vedic Method) topics

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