Class XI
Multiple Choice Questions & Answers
1. Which of the following set is not possible?
a) Honest persons b) Prime numbers up to 100
c) Even numbers up to 100 d) Letters forming the word SCHOOL
2. Which of the following is not a set of letters of word PRINCIPAL?
a) {P,R,I,N,C,A,L} b) {C,A,P,I,N,R,L}
c) {P,R,I,N,C,I,P,A,L} d) {L,N,I,P,C,A,R}
3. Write solution set of equation x2-3x+2=0 in roster form.
a) {1,3} b) {2,4} c) {1,4} d) {1,2}
5. Write the set {x : x is an integer and x2-9=0} in roster form.
a) {3} b) {-3} c) {3,-3} d) {9,3}
6. 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}
7. Let A={1,2,3,4,5}. Insert appropriate symbol in 2 ________ A.
a) = b) < c) ∈ d) ∉
8. Let X={1,2,3,4,5,6}. Insert appropriate symbol in 9 ________ X.
a) = b) < c) ∈ d) ∉
9. Which of the following does not belong to set {x : x is a vowel in English alphabet}?
a) e b) b c) i d) o
10. The number of elements in set {x : x is a letter of word TRIGONOMETRY} is __________
a) 8 b) 7 c) 9 d) 10
11. What is the solution set of the equation X2+3X+2=0 in roster form?
a) {-1, 2}
b) {-1, -2}
c) {1, -2}
d) {1, 2}
12. Which one of the following is the correct representation for the set {x: x is a positive integer and x3<50} in roster form?
a) {0,1,2,3,4,5}
b) {-1,1,2,3}
c) {1,2,3}
d) {0,1,2,3}
13. Which one of the following is the correct representation of set A = {1,3,5,7….} in set builder form?
a) {x: x = 2n where n ∈ N}
b) {x: x = n2-1 where n ∈ N}
c) {x: x = 2n+1 where n ∈ N}
d) {x: x = 2n-1 where n ∈ N}
14. Which of the following is true for set A = {1,2,3,5,7,10}?
a) 0 ∈ A
b) 2 ∈ A
c) 3 ∉ A
d) 5 ∉ A
15. 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
1. How to define a set?
a) A collection of well-defined objects or element
b) A collection of unordered objects or element
c) Any random elements
d) A collection of special characters
2. How is a set denoted?
a) () b) {} c) [] d) **
3. How will you define a set of all real numbers?
a) {x: -1 < x < 1} b) [x: -∞ < x < ∞]
c) {x: -∞ < x < ∞} d) {x: -Z < x < +Z}
4. How will you define Union of two sets A and B?
a) {x: x € A or x € B} b) {x: x € A or x € B (or both)}
c) {x: x € A and B} d) {x: x € A – B}
5. How will you define the difference of two sets B-A?
a) {x: x € A and x Ɇ B} b) {x: x Ɇ A and x € B}
c) {x: x € A and x € B} d) {x: x Ɇ A and x Ɇ B}
6. What will be the set of the interval (a, b]?
a) {x: a < x < b}
b) {x: a ≤ x ≤ b}
c) {x: a < x ≤ b}
d) {x: a ≤ x < b}
8. How to solve for x, if |x-1| ≥ 3?
a) (-∞, -2) ∪ (4, ∞)
b) (-∞, -2] ∪ [4, ∞)
c) (0, -2] ∪ (4, 0)
d) (-∞, ∞) – {-2, 4}
9. What is the interval of f(x) = (x – 1)(x – 2)(x – 3)/(x3 + 6x2 + 11x + 6) where f(x) is positive?
a) (-∞, -3) ∪ (3, ∞)
b) (3, -2) ∪ (1, 1) ∪ (2, 3)
c) (-∞, -3) ∪ (2, -1) ∪ (1, 2) ∪ (3, ∞)
d) (-∞, ∞)
10. What is the interval of f(x) = (x – 1)(x – 2)(x – 3)/(x3 + 6x2 + 11x+ 6) where f(x) is negative?
a) (-∞, -3) ∪ (3, ∞)
b) (3, -2) ∪ (1, 1) ∪ (2, 3)
c) (-∞, -3) ∪ (2, -1) ∪ (1, 2) ∪ (3, ∞)
d) (-∞, ∞)
11. What is the set of all x for which 1/(x – 1)(3 – x) ≤ 1?
a) (-∞, 1) ∪ (3, ∞)
b) (-∞, 1) ∪ (3, ∞) ∪ {2}
c) (-∞, 1) ∪ {2}
d) (3, ∞) ∪ {2}
12. Which one of the following is the correct representation of set A = {2,4,8,16….} in set builder form?
a) {x: x = 2n where n ∈ N}
b) {x: x = 2n where n ∈ N}
c) {x: x = 4n where n ∈ N}
d) {x: x = 2n+4 where n ∈ N}
13. A set can be a collection but a collection cannot be a set.
a) True
b) False
