1 |
The set {-1,1} is |
Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
|
2 |
The set {x +iy / x, y ∈ Q} forms a group under the binary operation of |
Addition
Multiplication
Division
Both addition and multiplication
|
3 |
The set of integer is |
Finite group
A group w.r.t addition
A group w.r.t multiplication
Not a group
|
4 |
To each element of a group there corresponds ............. inverse element |
Two
One
No
Three
|
5 |
The function {f(x,y)|y = ax2 +bx +c} is |
One-one function
Constant function
Onto function
Quadratic function
|
6 |
A function whose range is just one element is called |
One-one function
Constant function
Onto function
Identity function
|
7 |
A function in which the second elements of the order pairs are distinct is called |
Onto function
One-one function
Identity function
Inverse function
|
8 |
The set of the first elements of the orders pairs forming a relation is called its |
Relation in B
Range
Domain
Relation In A
|
9 |
If #n = (n-5)2 + 5, then find #3 x #4. |
54
12
4
9
|
10 |
(A ∩ B)c = |
A∩ B
(A ∪ B)c
Ac∪Bc
Φ
|
11 |
The set { {a,b} } is |
Infinite set
Singleton set
Two points set
Empty set
|
12 |
{x : xε Z and x < 1} is |
Singleton set
A set with two points
Empty set
None of these
|
13 |
Φ set is the _______ of all sets |
Subset
Union
Universal
Intersection
|
14 |
In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages |
45
30
25
50
|
15 |
In a school there are 150 students Out of these 80 students enrolled for mathematics class.50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time find the number of students who have taken both physics and mathematics. |
40
30
50
60
|
16 |
Decimal part of irrational number is |
Terminating
Repeating only
Neither repeating nor terminating
Repeating and terminating
|
17 |
Multiplicative inverse of 0 is |
0
1
±1
Does not exist
|
18 |
The identity element with respect to subtraction is |
0
1
-1
Does not exist
|
19 |
If A = {x / x ∈ R ∧ x2 - 16 = 0} then A = |
- x
Infinite set
Φ
{-4,4}
|
20 |
Additive inverse of - a - b is |
a
-a + b
a - b
a + b
|
21 |
If a set S contains n elements then P (S) has ........ number of elements |
2<sup>n</sup>
2<sup>n2</sup>
2.n
n<sup>2</sup>
|
22 |
The set {-1,1} is closed under the binary operation of |
Addition
Multiplication
Subtraction
Division
|
23 |
If x = 1/x for x ∈ R then the value of x is |
±1
0
2
4
|
24 |
Total number of subsets that can be formed out of the set {a,b,c} is |
1
4
8
12
|
25 |
Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then |
A = B
B = C
A≠ C
A ≠ B
|
26 |
If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) = |
1
12
5
29
|
27 |
Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y = |
3
1
2
4
|
28 |
In set builder notation the set {0,1,2,........100} can be written as |
{x / xε B ∧ x ≤ 100}
{x / x ∈ W ∧ x < 101}
{x / x ∈ Z ∧ x < 101}
The set of first 100 whole numbers
|
29 |
If A ⊆ B then A ∪ B is |
A
B
A'
A ∩B
|
30 |
For any set B,B∪B' is |
Is set B
Set B'
Universal set
|