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WorksheetsIT202 Midterm
Total questions: 25
Worksheet time: 13mins
A relation R on set A is called _____ if xRy implies yRx, ∀x∈A and ∀y∈A.
reflexive
symmetric
transitive
equivalence
The set O of odd positive integers less than 10 can be expressed by _____.
{1, 2, 3}
{1, 3, 5, 7, 9}
{1, 2, 5, 9}
{1, 5, 7, 9, 11}
Power set of empty set has exactly _____ subset.
One
Two
Zero
Three
What is the cardinality of the set of odd positive integers less than 10?
10
5
3
20
Which of the following two sets are equal?
A = {1, 2} and B = {1}
A = {1, 2} and B = {1, 2, 3}
A = {1, 2, 3} and B = {2, 1, 3}
A = {1, 2, 4} and B = {1, 2, 3}
The set of positive integers is _____.
Infinite
Finite
Subset
Empty
What is the Cardinality of the Power set of the set {0, 1, 2}?
8
6
7
9
The members of the set S = {x | x is the square of an integer and x < 100} is _____.
{0, 2, 4, 5, 9, 58, 49, 56, 99, 12}
{0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
{1, 4, 9, 16, 25, 36, 64, 81, 85, 99}
{0, 1, 4, 9, 16, 25, 36, 49, 64, 121}
{x: x is an integer neither positive nor negative} is _____.
Empty set
Non-empty set
Finite set
Non- empty and Finite set
{x: x is a real number between 1 and 2} is an _____.
Infinite set
Finite set
Empty set
None of the above
Express {x: x= n/ (n+1), n is a natural number less than 7} in roster form.
{1⁄2, 2⁄3, 4⁄5, 6⁄7}
{1⁄2, 2⁄3, 3⁄4, 4⁄5, 5⁄6, 6⁄7, 7⁄8}
{1⁄2, 2⁄3, 3⁄4, 4⁄5, 5⁄6, 6⁄7}
Infinite set
Number of power set of {a, b}, where a and b are distinct elements.
3
4
2
5
Which of the following is subset of set {1, 2, 3, 4}?
{1, 2}
{1, 2, 3}
{1}
All of the above
The union of the sets {1, 2, 5} and {1, 2, 6} is the set _____.
{1, 2, 6, 1}
{1, 2, 5, 6}
{1, 2, 1, 2}
{1, 5, 6, 3}
The intersection of the sets {1, 2, 5} and {1, 2, 6} is the set _____.
{1, 2}
{5, 6}
{2, 5}
{1, 6}
In which of the following sets A – B is equal to B – A?
A = {1, 2, 3}, B = {2, 3, 4}
A = {1, 2, 3}, B = {1, 2, 3, 4}
A = {1, 2, 3}, B = {2, 3, 1}
A = {1, 2, 3, 4, 5, 6}, B = {2, 3, 4, 5, 1}
The set containing all the collection of subsets is known as _____.
Subset
Power set
Union set
None of the above
If a set is empty then number of subsets will be _____.
1
2
0
4
Let a set be A={1, 2, 3} then the number of subsets containing two elements will be _____.
4
3
5
8
Let the set be A= {a, b, c, {a,b}} then which of the following is false?
{a, b} Є A
a Є A
{a} Є A
b, c ЄA
Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then what is the composition of f and g, f(g(x))?
6x + 9
6x + 7
6x + 6
6x + 8
What is the range of a function?
the maximal set of numbers for which a function is defined
the maximal set of numbers which a function can take values
it is set of natural numbers for which a function is defined
none of the above
Codomain is the subset of range.
True
False
Let A: All badminton player are good sportsperson.
B: All person who plays cricket are good sportsperson.
Let X denotes set of all badminton players, Y of all cricket players, Z of all good sportsperson. Then which of the following statements is correct?
Z contains both X and Y
Z contains X and Y is outside
X contains Y and Z
None of the above
Let the students who likes table tennis be 12, the ones who like lawn tennis 10, those who like only table tennis are 6, then number of students who likes only lawn tennis are, assuming there are total of 16 students.
16
8
4
10
