P.S.
TEMPLE GREEN VIDYASHRAM
Mathur Post, Sriperumbudur Taluk,
Kanchipuram District Tamil Nadu 602105
UNIT TEST -1
Class- XI Subject- MATHS
Time : 1.30 min Hours Marks : 50
Date: 23.06.2025
Section –A (Multiple Choice Questions)
Each question carries 1 mark
1.How will you define a set of all real numbers?
a) {x: -1 < x < 1} b) {x: 0 < x < ∞} c) {x: -∞ < x < ∞} d) {x: -Z < x < +Z}
2.Write the set {x : x is a natural number and x2-9=0} in roster form.
a) {3} b) {-3} c) {3,-3} d) {9,3}
3.The number of elements in set {x : x is a letter of word TRIGONOMETRY} is __________
a) 8 b) 7 c) 9 d) 10
4.Which one of the following is not a set?
a) The collection of all whole numbers less than 200 b) The collection of all boys in your
class c) The collection of talented actors in Hollywood d) The collection of all books written
by Chetan Bhagat
5.Which one of the following is the correct representation of set A = {2,4,8,16….} in set builder
a) {x: x = 2n where n ∈ N} b) {x: x = 2n where n ∈ N} c) {x: x = 4n where n ∈ N}
form?
d) {x: x = 2n+4 where n ∈ N}
6. Set of letters of English alphabet is__________________
a) empty set b) singleton set c) finite set d) infinite set
7.Which of the following sets are equal?
X={x : x is letter of word LIFE}, Y={x : x is letter of the word WIFE},
Z={x : x is letter of the word FILE}
a) X and Y b) Y and Z c) X and Z d) X, Y and Z
8.A={1,2,3}, B={2,3,4}, C={2,3,5}, D={1,3,5,7}. Find (A∩B) ∪ (C∩D).
a) A b) B c) C d) D
9.If A = {2,4} then subsets of A are ___________
a) {{2}, {4}} b) {{2}, {4}, {2,4}} c) {Ф, {2}, {4}} d) {Ф, {2}, {4}, {2,4}}
10. Which of the following is an empty set?
a) The set of dogs with six legs b) The set of books in the library c) The set of boys in a
school d) The set of a square with 4 sides
Section – B
[This section comprises of very short answer type questions (VSA) of 2 marks each]
11. Which of the following are sets. Explain your answer.
(a). The collection of all day in a week which have the first letter S.
(b). The collection of ten most famous singers of India.
12. Write the given sets in roster form:
T = The set of all letters in the word ELEPHANT U = The set of all letters in the word
DIVISION
13. Write the given sets in set-builder form: {3, 9, 27, 81}
14. List all the elements of the following sets :
a. E = {x : x is a month of a year not having 31 days}
b. F = {x : x is a consonant in the English alphabet which precedes k}.
15. Find the union of each of the following pairs of sets:
P = {1, 4, 6} and Q = {1, 3, 4} (or)
Find (B – A) ∪ (A – C)
Let U = {1, 2, 3, 4, 5, 6, 7}, A = {2, 4, 6}, B = {3, 5} and C = {1, 2, 4, 7},
Section – C
[This section comprises of short answer type questions (SA) of 3 marks each
16. Let A = {x, y} and B = {x, y, z} Is A ⊂ B? What is A ∪ B?
17. X = {x: x is a natural number and 1 < x ≤ 5} and Y=
{x: x is a natural number and 5 < x < 10}, Find the union of this sets.
18. If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15 }
Find A ∩ C ∩ D
19. A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and
D = {5, 10, 15, 20}. Find A – C, C – D (OR)
Define Intersection of Sets with an example
Section –D
[This section comprises of long answer type questions (LA) of 5 marks each]
20. Set X = {11, 12, {13, 14}, 15}. According to the given set which of the given statements are
(i). {13, 14} ⊂ X (ii). {13, 14} ∈ X
false? Explain why.
(iii). {{13, 14}} ⊂ X (iv). 11 ∈ X (v). 11 ⊂ X
21.Let U = {x : x ∈ N, x ≤ 9}; A = {x : x is an even number, 0 < x < 10};
B = {2, 3, 5, 7}. Write the set (A U B) , (A n B), B - A , A – B
(i). {y: y ∈ R, –5 < y ≤ 7}
22. a . Write the given in the form of intervals:
(ii). {y: y ∈ R, –13 < y < –11}
(iii). {y: y ∈ R, 4 ≤ y ≤ 5}
b.Write the given intervals in the form of set – builder:
(i). (–4, 1)
(ii). [7, 13]
(or)
(i). ∅
Write all the subsets of the given sets:
(ii). {b, c}
(iii). {2, 3, 4}
Section –E
[This section comprises of a case- study/passage based questions of 3 marks each with sub
parts
23. Siva and Raju are friends they are studying XI std in ARS vidyashram , they are
discussing about sets
i. A = {x: x is an even integer} and B = {x: x is an odd integer} verify the sets are disjoint
or not
ii. What is R – Q, if R is the set of real numbers and Q is the set of rational?
iii. X = {4, 5, 6} and Y = Φ what is X n Y
ALL THE BEST
