ECAT Mathematics Chapter 23 With Answers

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ECAT Mathematics Chapter 23

Sr. # Questions Answers Choice
1 The logic in which every statement is regarded as true or false and no other possibility is called Aristotelian login Inductive logic Non-Aristotelian logic None of these
2 If B-A≠φ , then n(B-A) is equal to n(a)+n(c) n(c)-n(a) n(a)-n(c) None of these
3 If A∩B=B, then n(A∩B) is equal to n(a) n(a)+n(c) n(c) None of these
4 If the intersection of two sets is non-empty, but either is a subset of other are called Disjoint sets Over lapping Equal sets None of these
5 The set which has no proper subset is {0} {} {∅} None of these
6 The set {x|x∈N∧x-4=0} in tabular form is {-4} {0} {} None of these
7 {x|x∈R∧x≠x} is a Infinite set Null set Finite set None of these
8 If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be Improper subset of B Super set of B Proper subset of B None of these
9 For any two sets A and, A ⊆ B if x ∈ A ⇒ x ∈ B x ∉ A ⇒ x ∉ B x ∈ A ⇒ x ∉ B None of these
10 If a 1-1 correspondence can be established b/w two sets A and B, then they are called Equal sets Equivalent sets Over lapping sets None of these
11 Every subset of a finite set is Disjoint Null Finite Infinite
12 0 is a symbol of singleton set Empty set Equivalent set Infinite set
13 The number of subsets of B = {1,2,3,4,5} 10 32 16 5
14 The number of proper subset of A ={a.b.c.d} is 3 6 8 15
15 The many subset can be formed from the set {a,b,c,d} 8 4 12 16
16 The number of subset of {0} is 1 2 3 None
17 If E = { } , then P(E) { } {(2),(4),(6)....} (∅)
18 If D = {a} , the P(D) = {a} <p class="MsoNormal"><!--[if gte msEquation 12]><m:oMathPara><m:oMath><i style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif; mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin'><m:r>∅</m:r></span></i></m:oMath></m:oMathPara><![endif]--><!--[if !msEquation]--><span style="line-height: 107%;"><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:6.75pt; height:14.25pt'> <v:imagedata src="file:///C:/Users/Softsol/AppData/Local/Temp/msohtmlclip1/01/clip_image001.png" o:title="" chromakey="white"/> </v:shape><![endif]--><!--[if !vml]--><img width="9" height="19" src="file:///C:/Users/Softsol/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png" v:shapes="_x0000_i1025" style="font-family: Calibri, sans-serif; font-size: 11pt;">∅<!--[endif]--></span><!--[endif]--><o:p></o:p></p> {∅,{a}} {∅,a}
19 The set of even prime numbers is (2,4,6,8,10} {2,4,6,8,10,12} {1,3,5,7,9} {2}
20 If A⊆ B, and B is a finite set, then n (a) &lt; n(B) n(B)&lt;(A) n(A)≤ n (B) n(A)≥ n(B)
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