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Math Assignment Class XI Ch 1 Set Theory
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Mathematics Assignment
Class  XI  Subject Mathematics  Chapter  1
For NonMedical /Applied Math Students
*******************************************************
Question 1
Write the following sets in tabular form
a){ x : x = 2n + 1 ; n ∈ N}
b) {x : x – 1 = 0}
c) {x : x = prime number and x ≤ 7 ; x ∈ N
d) {x :
x ∈
I,
3x  2 = 3}
e) {x : x^{2} ≤ 10 , x ∈ Z }
Answers of Q 1 


{3, 5, 7, 9, ........} 

{1} 

{ 2, 3, 5, 7} 




Question 2
a) {10, 11, 12, 13, 14, 15}
b) 1, 4, 9, .........., 121}
Answers of Q 2 





Question 3
Ans
Ï†, {1}, {2}, {{3}}, {1,2}, {1, {3}}, {2, {3}}, {1, 2, {3}}
Question 4
Ans: Except { 5, 10, 11, 15}, all other subsets of A are proper subsets.
Question 5
Ans: P(A) = {Ï†, {Ï†}, {1}, { Ï†, 1}}
Question 6
Ans Ï†,
{1}, {0}, {1}, {1, 0}, {0, 1}, {1, 1}, {1, 0, 1}
Question 7
A = {0, 1, 2}, B = {a, b}, C = {1, 0, 2},
D = {3, 5, 9, 13} E = {5,
25}, F = {1, d}
Ans
Equal sets: A and C,
Equivalent Sets : B, E and F ; A and C
Question 8
P= {x :
x is a prime number less than 20}
then
find n(S) + n(P) Ans 41
Question 9
Question 10
(a)
A ∩ (B  C) = (A ∩ B)  (A ∩ C)
(b) A 
(B ∩ C) = (A  B) ⋃ (A  C)
Question 11
a)
A ⋃(A ∩ B) = A
b) (A ⋃ B) – B = A  B
c) (A  B) ⋃ (A ∩ B = A
d) A ⋃ (B  A) = A ⋃ B
e) A 
(A ∩ B) = A  B
f) A ⋃ B) – B = A 
B
Question 12
A  (B ⋃ C) = (A  B) ∩ (A  C)
Question 13
Show that for any two sets A and B, If A ⋂ B = A ⋃ B, then A = B
Solution
Let x ∈ A ⇒ x ∈ A ⋃ B
⇒ x ∈ A ⋂ B
⇒ x ∈ A and B
⇒ x ∈ B
Now we have x ∈ A ⇒ x ∈ B
⇒ A ⊂ B ............ (i)
Let x ∈ B ⇒ x ∈ A ⋃ B
⇒ x ∈ A ⋂ B
⇒ x ∈ A and B
⇒ x ∈ A
Now we have x ∈ B ⇒ x ∈ A
⇒ B ⊂ A ............ (ii)
From (i) and (ii) we have A = B
Question 14
Question 15
Question 16
Question 17
(i)
Who study all the three subjects ?
(ii)
Who study maths only ?
(iii)
Who study one of the three subject ?
(iv)
Who study two of the three subjects ?
Answers of Q 17 









Question 18
(i)
English and Maths but not in science
(ii)
Maths and Science but not in English
(iii)
Maths only.
(iv)
More than one subject only
Answers of Q 18 









Question 19
(i)
Only French,
(ii)
Only English
(iii)
Only Sanskrit
(iv)
English and Sanskrit but not French
v)
French and Sanskrit but not English
(vi)
French and English but not Sanskrit
(Vii)
At least one of the three languages
(viii)
None of the three languages
Answers of Q 19 

(i) 

(ii) 

(iii) 

(iv) 

(v) 

(vi) 

(vii) 

(viii) 

Question 20
a) How many like to play all three games?
b) How many like to play Cricket only?
c) How many like to play Tennis only?
Answers of Q 20 

(i) 

(ii) 

(iii) 

Solution Hint:
C∩T = a + b = 25
Question 21 (DAV Final 202324)
You are the manager of a local
supermarket, and you have three sets of products that represent different
categories of items in your store
Set A = (1, 3, 4, 5, 7, 9}
represents the inventory of fruits.
Set B = {0, 2, 4, 6} represents
the inventory of dairy products.
Set C = (4, 7, 8, 9} represents
the inventory of customerfavourite items.
Your goal is to optimize your
supermarket's inventory and customer satisfaction. You plan to use set
operations to make informed decisions.
(i) Which items can you offer to
your customers if you combine the inventories of fruits (A) and dairy products
(B) ?
(ii) You want to stock items
that are both fruits (A) and customer favourites (C). Find the items.
(iii) To maximize sales, you
want to offer products that are either fruits (A) or items that are both dairy
products (B) and customer favourites (C). Find the items.
(iv) You are considering a
special promotion and want to offer items that are available in all categories:
fruits (A), dary products (B) and customer favourites (C). Find the items.
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Wonderful question and innovative ideas
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