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1. Sets of the form: A = {x: x > 1}, B = {x: x > 2}, C = {x: x < 3} are
a.Finite intervals
b.Infinite intervals
c.Infinitely many intervals
d.None of the options
2. In set theory, the denotation A∪B is usually read as
a.A intersection B
b.A difference B
c.A and B
d.A union B
3. The _______ of sets A and B is the set of elements which belong to A but which do not belong to B.
a.minus
b.intersection
c.shading
d.difference
4. Members of a set are called _______
a.numbers
b.compliment
c.letters
d.elements
5. The absolute value of any number is always
a.x=∞
b.x≤0
c.negative
d.non-negative
6. If the domain and co-domain of a function are both the same set, then f is frequently called __________
a.a transformation
b.image of A
c.function of A
d.range of A
7. A _________ number is a natural number, excluding 1, which is only divisible by 1 and itself
a.complex
b.prime
c.rational
d.whole
8. A set which contains no elements is called the _______ set
a.empty
b.Sealed
c.null
d.All of the other options
9. Sets are usually denoted by _________ letters
a.Uppercase
b.Greek
c.Italic
d.Lowercase
10. If every element which belongs to A also belongs to B and if every element which belongs to B also belongs to A, then the sets A and B are _______________
a.subsets
b.equal
c.equivalent
d.power of the sets A and B
11. Given the setN=2,4,6,8,____ then N is said to be
a.finite
b.generating
c.regenerating
d.infinite
12. The first six prime numbers are
a.1,2,3,5,7,11
b.1,2,3,4,5,6
c.2,3,5,7,11,13
d.0,1,2,3,5,6
13. The family of all the subsets of any set A is called the ____________
a.power set of A
b.universal set of A
c.subsets of A
d.a family of sets A
14. The following relationship is true about the numbers systems
a.Z⊂N⊂R⊂Q
b.N⊂Z⊂R⊂Q
c.N⊂Z⊂Q⊂R
d.N⊂R⊂Z⊂Q
15. Numbers to the right of zero on the real number line are called __________
a.unreal
b.positive
c.negative
d.real
16. The power set of set H is denoted by
a.H2
b.2H
c.2H
d.2H
17. In any application of the theory of sets, all the sets under investigation will likely be subsets of a fixed set called ______________
a.universal set
b.geometry of sets
c.a family of sets
d.class of sets
18. The complement of the set of rational numbers in the real numbers is the set of _____ numbers
a.whole
b.irrational
c.natural
d.complex
19. Integers are closed under the operations the following operations except
a.division
b.multiplication
c.subtraction
d.addition
20. Two sets C and D are said to be disjoint if ________________
a.their union is an empty set
b.their intersection is a null set
c.their family is void
d.They are comparable
BATCH B
In any application of the theory of sets, all the sets under investigation will likely be subsets of a fixed set called ______________
a) class of sets
b) geometry of sets
c) universal set
d) a family of sets
The complement of the set of rational numbers in the real numbers is the set of _____ numbers
a) irrational
b) complex
c) natural
d) whole
Two sets C and D are said to be disjoint if ________________
a) their union is an empty set
b) their intersection is a null set
c) their family is void
d) They are comparable
Integers are closed under the operations the following operations except
a) subtraction
b) division
c) multiplication
d) addition
The union of any set A and its complement A'is the _______________ set
a) unity
b) equality of
c) Complementary
d) Universal
Integers are not closed under the operation of _________
a) division
b) addition
c) subtraction
d) multiplication
The intersection of any set A and its complement
A
'
is the _______________ set
Question 5Select one:
a) null
b) unity
c) universal
d) equality of
A set is ________ if it consists of a specific number of different elements
specified
counting
infinite
finite
One of the theorems is not true
Let A be a subset of B. Then the union intersection of A and B is precisely A
Let A be a subset of B. Then the union of A and B is precisely B
Let A be a subset of B. Then the Union of A and (B – A) is precisely A
Let A be a subset of B. Then B' is a subset of A'
The set of all the elements which belong to sets A and B is known as _________
The intersection of sets A and B
The union of sets A and B
The compliment of sets A and B
The difference of sets A and B
The set A=x|x=2n+1, 0≤n≤3 is in its ___________
tabular form
set-builder form
generating form
disjoint form
Numbers to the right of zero on the real number line are called __________
real
unreal
positive
negative
Given the setN=2,4,6,8, ____ then N is said to be
generating
finite
infinite
regenerating
The set B = {2, 3, 4, 5} is in its ___________
generating form
disjoint form
tabular form
set-builder form
Integers are closed under the operations the following operations except
multiplication
subtraction
addition
division
Numbers to the left of zero on the real number line are called __________
unreal
positive
real
negative
Members of a set are called _______
numbers
compliment
elements
letters
Let P be the set of positive real numbers and let Q be the set of negative real numbers. The union of P and Q, consist of all the real numbers except
3
1
0
2
The set of all the elements which belong to sets A and B is known as _________
The difference of sets A and B
The union of sets A and B
The compliment of sets A and B
The intersection of sets A and B
Two sets A and B with no common elements are said to be _____________
uncommon
null
disjoint
empty
One of the theorems is not true
Let A be a subset of B. Then the union of A and B is precisely B
Let A be a subset of B. Then the union intersection of A and B is precisely A
Let A be a subset of B. Then B'is a subset of A'
Let A be a subset of B. Then the Union of A and (B – A) is precisely A
The complement of the complement of set A is the ________
complement set
universal set
Set A itself
The complement of the universal set U is the__________
null set
set itself
complement set
universal set
Integers are not closed under the operation of _________
addition
multiplication
subtraction
division
The set of elements which belong to sets A and B is known as _________
The intersection of sets A and B
The union of sets A and B
The compliment of sets A and B
The difference of sets A and B
Any well-defined list, collection or class of objects is known as ______
Matrix
definition
listing
Set
Two sets C and D are said to be disjoint if ________________ their intersection is a null set
ANS - T = {2,6,8} then 2T (2 raise T)M {T, {2,6}, {2,8}, {6,8}, {2}, {6}, {8}, ∅}
The rational numbers are closed under the operations of division except by
ANS: 0
A simple and instructive way of illustrating the relationships between sets is in the use of ________________
ANS: Venn diagram
The power set of set H is denoted by
ANS:2H (2 raise H)
Given the setN=2,4,6,8,⋯ hen N is said to be
ANS: infinite
The first six prime numbers are
ANS: 2,3,5,7,11,13
Positive and negative whole numbers, zero inclusive are known as __________
ANS: integers
Real numbers that can be expressed as the ratio of two integers are called
ANS: rational numbers
1. The absolute value of / X / of a real number x is defined by
Ans. X = x A A A i f A x > a^z - x A A
2. Let R be the set of real numbers and Q be the set of rational numbers. Then R ‘ae’ Q consists of the set of
Ans. Irrational numbers
3. Sets are usually donated by ………… letters
Ans. Uppercase
4. If (X) = x2 for x a real number g (X) = x2 where x is a complex number, which of the statement is true?
Ans. The function f and g are not equal since they have different domains
5.If every element which belongs to A also belongs to B and if every element which belongs to B also belongs to A, then the sets A and B are ……
Ans. Equal
5. The set of all the elements which belong to sets D but not in the universal set is known as ………….
Ans. The component of set D
6. Let E= (2, 4, 6, …), what is the compliment of the set E?
Ans. The odd numbers
8.Given that B 1 = { X : A 2 A < A X A < A 5},
B 2 = X : A 2 A a% A X A a% A 5
B 3 = { X : A 2 A < A X A a% A 5} and
B 4 = { X : a% X < 5}
Which of the statement is true?
Ans. B 3 is an open-closed interval B 4 is a closed-open interval
9. Members of a set are called ………
Ans. Elements
10. Let E = { x a I A2 ae 3 X A - 2 } , A F = { 2,1 } and G = {1,2, 2 , A 1 }, which of the following is true?
Ans. E = F = G
11. The absolute value / x / of a real number x is defined by
Ans. x = x A A A I f A x > 0 - x A A A I f A x < 0
12. The set of all the elements which belongs to sets D but not in the universal set is known as
Ans. the compliment of set D
13. Members of a set are called ……………
Ans. Elements
14. In set theory the donation of Ae `B is usually read as
Ans. A union B
15. If the domain and co-domain of a function are both the same set, then f is frequently called …………….
Ans. a transformation
16. The real number c is less than the real number d if d - c is a …………… number
Ans. Positive
17. Let E = ( x A I A x A2 ae 3 x A = -2 ) , A F = (2,1 ) and G = { 1,2 , 2 , A 1 }, which of the following is true?
Ans. E = F = G
18. Let E = { 2, 4, 6, … },what is the compliment of the set E?
Ans. the odd numbers
19. Let f assign to each real number its square, that is, for every x let f { x } A = x 2 . the domain and co-domain of f are
Ans. both the real numbers
20. Let R be the set of real numbers and Q be the set of rational numbers. Then R ae Q consists of the set of ……………
Ans. irrational numbers
21. The real number c is less than the real number d if d - c is a ……………. Number
Ans. Positive
22. Members of a set are called …………….
Ans. Elements
23. The ……………… of sets A and B is the sets of elements which belong to A but which do not belong to B
Ans. Difference
24. Let E = {2, , 6, …}, what is the compliment of the set E?
Ans. the odd numbers
25. A set which contains no elements is called the ………………
Ans. all of the other options
26. A set which contains no element is called the …………… set
Ans. all of the above
27. Let R be the set of real numbers and Q be the set of rational numbers. Then R ae” Q consists of the set of …………….
Ans. infinite intervals
29.The absolute value of any number is always
Ans. non- negative
30. Let f assign to each real number its square, that is, for every real number let x f { x } A = x 2 . the domain and co-domain of f are
Ans. both the real numbers
31.A concise definition of the intersection of set A and B
Ans. A a^ B = x a^C A x a^C B
Ans. Difference
31. Members of a set are called
Ans. Elements
32. If every element which belongs to A also belongs to B and if every element which belongs to B also belongs to A, then the sets A and B are
Ans. Equal
33. If f (x) = x2 for x a real number and g(x) = x2 where x is a complex number, which of these statement is true?
Ans. the function f and g are not equal since they have different domains