ECAT Mathematics Chapter 23 With Answers

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ECAT Mathematics Chapter 23

Sr. # Questions Answers Choice
1 The complement of set A relative to universal set U is the set {x / x∈ A∧ x∈ U} {x / x∉ A∧ x ∈ U} {x / x∈ A and x ∉ U} A-U
2 Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then A≠ C B = C A = B A≠ B
3 Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y = 4 3 2 1
4 For any set X, X∪X is X X' Φ Universal Set
5 G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are 2,2,2 3,3,3 2,2,4 2,3,4
6 Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is -a a +1 -1-a None of these
7 Which of the following has the same value as i113 i -1 -i 1
8 If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2 36 +(-32)i -36+32i 6+(-11)i 0, +(-12)i
9 Under multiplication, solution set of is Groupoid Abelian group Semi group All of these
10 Identity w.r.t intersection in a power set of any set is ∅ Set itself Singleton set {0}
11 Which symbolic notation represent unary operation ? - ∨ ∧ ⇔
12 Which conjunction is not true ?
13 Power set of difference set N-W is Empty set Infinite set Singleton set {0,∅}
14 A onto B both a & c A into B none of these
15 a-b=ab ab=a a+b=ab
16 Group of none-singular matrices under multiplication is None-Abelian group Semi group Abelian group None of these
17 Z is a group under Subtraction Multiplication Addition None of these
18 The identity element of a set X with respect to intersection in P(x) is X Does not exist ∅ None of these
19 The extraction of cube root of a given number is a Unary Operation Binary Operation Relation None of these
20 The negation of given number is a Binary operation Unary operation Relation None of these
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