ECAT Mathematics Chapter 2 Set Function and Groups Online Test With Answers

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ECAT Mathematics Chapter 2 Set Function and Groups Online Test

Sr. # Questions Answers Choice
1 A is proper subset of B A is an improper subset of B A is equivalent to B B is subset of A
2 An empty set Universal set A singleton set None of these
3 A = B if A is equivalent to B
4 {1, 2, 3} is _____ an infinite set A finite set A singleton set Universal set
5 The set of rational numbers is subset of The set of natural numbers The set of real numbers The set of integers The set of whole numbers
6 The set of real numbers is a subset of The set of natural numbers The set of rational numbers The set of integers The set of complex numbers
7 The set of integers is a subset of The set of natural numbers The set of whole numbers The set of prime numbers The set of rational numbers
8 The set of whole numbers is subset of The set on integers The set of natural numbers {1, 3, 5, 7, ....} The set of prime numbers
9 The set of natural numbers is a subset of {1, 2, 3, .... 100} The set of whole numbers {2, 4, 6, 8, .....} None of these
10 Let A and B be two sets. If every element of A is also an element of B then
11 Evert element of A is in B Every element of B is in A Every element of A is in B' Every element of A is in A
12 Natural numbers Whole numbers Integers Rational numbers
13 {1, 2, 3, 4,.....} is set of ______ Natural numbers Whole numbers Integers Rational numbers
14 The number of different ways of describing a set is One Two Three Four
15 The set (Z, +) forms a group Forms a group w.r.t addition Forms a group w.r.t multiplication Non commutative group w.r.t multiplication Doesn't form a group
16 Power set of X i.e P(X)..........under the binary operation of union U Forms a group Does not form a group Has no identity element Infinite set although X is infinite
17 The set {Z\ {0} } is group w.r.t Addition Multiplication Division Subtraction
18 The set R is ........w.r.t subtraction Not a group A group No conclusion drawn Non commutative group
19 The set {1,-1,i,-i} Form a group w.r.t addition Form a group w.r.t multiplication Does not form a group w.r.t multiplication Not closed under multiplication
20 The set of complex numbers forms Commutative group w.r.t addition Commutative group w.r.t multiplication Commutative group w.r.t division Non commutative group w.r.t addition
21 The set {-1,1} is Group under the multiplication Group under addition Does not form a group Contains no identity element
22 The set {x +iy / x, y ∈ Q} forms a group under the binary operation of Addition Multiplication Division Both addition and multiplication
23 The set of integer is Finite group A group w.r.t addition A group w.r.t multiplication Not a group
24 To each element of a group there corresponds ............. inverse element Two One No Three
25 The function {f(x,y)|y = ax2 +bx +c} is One-one function Constant function Onto function Quadratic function
26 A function whose range is just one element is called One-one function Constant function Onto function Identity function
27 A function in which the second elements of the order pairs are distinct is called Onto function One-one function Identity function Inverse function
28 The set of the first elements of the orders pairs forming a relation is called its Relation in B Range Domain Relation In A
29 (A ∩ B)c = A∩ B (A ∪ B)c Ac∪Bc Φ
30 The set { {a,b} } is Infinite set Singleton set Two points set Empty set
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