ECAT Mathematics Chapter 23 With Answers

image
image
image

ECAT Mathematics Chapter 23

Sr. # Questions Answers Choice
1 if A = (x/x€ Q˄ 0 < x < 1}, the A is Infinite set Finite set Set of rational numbers Set of real numbers
2 If there is one-one correspondence between A and B, then we write. A = B A⊆ B A⊇ B A ∼ B
3 P∉ A means <i>P</i>is subset of A <i>P</i>is an element of A <i>P does not belongs to A</i> A does not element of <i>P</i>
4 The set of months in a year beginning with S. {September, October, November} Singleton set Null set Empty set
5 A = B iff All elements of A also the elements of B A and B should be singleton A and B have the same number of elements If both have the same element
6 If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of Irrational numbers Even numbers Rational numbers Whole numbers
7 If S = {3,6,9,12.......}, then S = Four multiples of 3 S = Set of even numbers S = Set of prime numbers S = All multiples of 3
8 Which of the following is the definition of singleton The objects in a set A set having no element A set having no subset None of these
9 If T = {2,4,6,8,10,12}, then T = (First six natural numbers) T = (First six odd numbers) T = (First six real numbers) T = ( First six even numbers)
10 Which of the following statement is true? A set is a collection of non-empty object A set is a collection of only numbers a set is any collection of things a set is well-defined collection of objects
11 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
12 The statement that a group can have more than one identity elements is True False Ambiguous Some times true
13 The set {Z\{0}} is group w.r.t Addition Multiplication Division Subtraction
14 The set R is ______ w.r.t subtraction Not a group A group No conclusion drawn Non commutative group
15 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
16 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
17 The multiplicative inverse of -1 in the set {1-, 1} is 1 -1 +-1 0
18 The set {-1, 1} is Group under the multiplication Group under addition Does not form a group Contains no identity element
19 Addition Multiplication Division Both addition and multiplication
20 The set of integer is Finite group A group w.r.t addition A group w.r.t multiplication Not a group
Download This Set
×