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1. Which of the following pair of sets are equal ?
A. P = {0, 1, 2, 3, 4}, and Q = {X:X<5, X ∈ N}
B. P = {3, 4}, Q = {x : x is a solution of x2 + 7x + 12 = 0}
C. P = {x : x2 + 16 = 0}, Q = {4, – 4}
D. P = {x : x is the letter of the word FOLLOW}, Q = {x:x is a letter of a the word WOLF}
2. From the sets given below, select equal sets : A = { 2, 4, 8, 12}, B = { 1, 2, 3, 4}, C = { 4, 8, 12, 14}, D = { 3, 1, 4, 2}
A. A and C
B. A and B
C. B and D
D. B and C
3. Which of the following is a set ?
A. The collection of all the months of a year
B. The collection of all interesting novels
C. The collection of all rich persons of Delhi
D. A collection of 10 best writers of India
4. Identify the finite set from the following:
A. Set of positive integers > 50
B. {x : 2 < x < 3, x Ε R}
C. Set of prime numbers less than 10
D. The set of lines passing through a point
5. The set A = {1,4,9,16,25---} in set builder form is written as:
A. A = {x:x is a prime number}
B. A ={x:x is the cube of a natural number}
C. A = {x:x is the square of a natural number}
D. A = {x:x is an even natural number}
6. Which of the following is not an empty set?
A. {x : x is a multiple of 7, x < 7, x ∈ N}
B. Set of common points of two parallel lines in a plane
C. {x : 6 + 2x > 5x + 3, x ∈ N}
D. Set of smallest whole number
7. Which of the following pair of sets are not equal?
A. p = {x : x2 - 2x -3 = 0}, and Q = {x : x ∈ N and x < 3}
B. P = {15, 20, 25, 30, 35, 40} and Q = {x : x is a multiple of 5, 10 < x < 45}
C. p = (1, 2, 3, 4} and Q = {x : x ∈ N and x < 5}
D. P = The set of prime numbers between 10 and 20 and Q = {11, 13, 17, 19}
8. Which of the following is a finite set?
A. Set of roots of the equation x2 - 25 = 0
B. Set of natural numbers
C. The set of lines parallel to y - axis
D. The set of numbers which are multiples of 5
9. Identify the null set from the following:
A. Odd natural numbers divisible by 2
B. The set which contains only zero as its element
C. The set of even prime numbers
D. The set of points common to two intersecting lines
10. The set P = {x:x is a two digit number and sum of whose digits is 6},written in roster form is:
A. P ={60, 61, 62 ----- 69}
B. P = {24, 42}
C. P ={15, 51}
D. P = {15, 24, 33, 42, 51, 60}
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