Q2/10: Which of the following represents an empty set?
Anonymous Quiz
14%
Set of even prime numbers
67%
Set of odd natural numbers divisible by 2
6%
Set of all x such that x^2 = 4 and x is an integer
11%
Set of all natural numbers less than 2
2%
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Q3/10: If A = {1, 2, 3} and B = {2, 3, 4}, what is A union B?
Anonymous Quiz
65%
{1, 2, 3, 4}
21%
{2, 3}
10%
{1, 4}
3%
An empty set
1%
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Q4/10: If a set A has 4 elements, how many elements will its power set P(A) have?
Anonymous Quiz
25%
4
16%
8
52%
16
6%
32
2%
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Q5/10: The Cartesian product A x B of two non-empty sets A and B is empty only if?
Anonymous Quiz
9%
Set A is empty
8%
Set B is empty
64%
Both sets A and B are empty
19%
It is never empty
0%
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Q6/10: If A x B = {(a, x), (a, y), (b, x), (b, y)}, what is set A?
Anonymous Quiz
4%
{x, y}
8%
{a, x}
11%
{b, y}
75%
{a, b}
2%
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Q7/10: A relation R from set A to set B is a?
Anonymous Quiz
21%
Superset of A x B
54%
Subset of A x B
14%
Disjoint set from A x B
11%
Complement of A x B
0%
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Q8/10: What is the domain of the relation R = {(1, 2), (3, 4), (5, 6)}?
Anonymous Quiz
15%
{2, 4, 6}
15%
{1, 2, 3}
42%
{1, 3, 5}
26%
{1, 2, 3, 4, 5, 6}
2%
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Q9/10: Which of the following relations from A = {1, 2, 3} to B = {4, 5} is a function?
Anonymous Quiz
8%
{(1, 4), (1, 5), (2, 4)}
23%
{(1, 4), (2, 5)}
33%
{(1, 4), (2, 4), (3, 5)}
33%
{(1, 5), (2, 4), (2, 5), (3, 4)}
4%
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Q10/10: What is the range of the constant function f(x) = 7 for all real numbers x?
Anonymous Quiz
33%
All real numbers
24%
All integers
35%
{7}
6%
Empty set
2%
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Every question is a step toward exam success!
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Good luck!
Q1/10: If set A has 3 elements and set B has 4 elements, what is the number of elements in A x B?
Anonymous Quiz
9%
7
74%
12
12%
64
5%
81
0%
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Q2/10: What is the set-builder form of the set {2, 4, 6, 8}?
Anonymous Quiz
11%
{x : x is an odd natural number, x < 10}
79%
{x : x is an even natural number, x < 10}
5%
{x : x is a prime number, x < 10}
3%
{x : x is a multiple of 4, x < 10}
3%
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Q3/10: If A and B are disjoint sets, then the number of elements in A union B, n(A U B), is equal to?
Anonymous Quiz
18%
n(A) * n(B)
33%
n(A) + n(B) - n(A intersection B)
33%
n(A) + n(B)
15%
0
0%
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Q4/10: The complement of the universal set U is?
Anonymous Quiz
46%
The universal set U itself
40%
The empty set
9%
A subset of U
6%
A singleton set
0%
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Q5/10: If A and B are any two sets, then A union (A intersection B) is equal to?
Anonymous Quiz
26%
A
12%
B
50%
A union B
12%
A intersection B
0%
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Q6/10: In a group of 400 people, 250 speak Hindi and 200 speak English. If everyone speaks at least one, how many speak both?
Anonymous Quiz
60%
50
16%
100
16%
150
8%
200
0%
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Q7/10: Let R = {(x, y) : y = x + 5, x is a natural number less than 4}. What is the range of R?
Anonymous Quiz
45%
{1, 2, 3}
45%
{6, 7, 8}
9%
{5, 6, 7, 8}
0%
{1, 2, 3, 6, 7, 8}
0%
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Q8/10: What is the domain of the real function f(x) = sqrt(9 - x^2)?
Anonymous Quiz
35%
[-3, 3]
35%
(-3, 3)
22%
(-inf, -3] U [3, inf)
9%
All real numbers
0%
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Q9/10: The range of the signum function f(x) = |x|/x (for x not equal to 0) and f(0) = 0 is?
Anonymous Quiz
35%
[-1, 1]
39%
All real numbers
13%
{-1, 0, 1}
13%
All integers
0%
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Q10/10: Assertion (A): Set A = {x: x is a prime number, x < 10} has 16 subsets. Reason (R): The number of subsets of a set with n elements is 2^n.
Anonymous Quiz
48%
Both A and R are true and R is correct explanation
30%
Both A and R are true but R is not correct explanation
13%
A is true but R is false
9%
A is false but R is true
0%
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