ECAT Mathematics Chapter 23 With Answers

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ECAT Mathematics Chapter 23

Sr. # Questions Answers Choice
1 Every subset of a finite set is Disjoint Null Finite Infinite
2 0 is a symbol of singleton set Empty set Equivalent set Infinite set
3 The number of subsets of B = {1,2,3,4,5} 10 32 16 5
4 The number of proper subset of A ={a.b.c.d} is 3 6 8 15
5 The many subset can be formed from the set {a,b,c,d} 8 4 12 16
6 The number of subset of {0} is 1 2 3 None
7 If E = { } , then P(E) ∅ { } {(2),(4),(6)....} (∅)
8 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}
9 The set of even prime numbers is (2,4,6,8,10} {2,4,6,8,10,12} {1,3,5,7,9} {2}
10 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)
11 If A = {2m/m3= 8 , m€ Z} then A =

 {1,8,27} {4} (2,4,6} {2,16,54}
12 If 0 = {1,3,5.......}, then n (0) = Infinite Even numbers odd integers 99
13 If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) = 5 {-3,-2,-1,0,1,2,3,4,5,6} 8 9
14 If a = {2m/2m < 9 ,m€ p} , the (n A) = {2,3,4,5,6,7,8} {2,4,6,8............16} { 4, 6} {2,3,5,7}
15 If C={p/p < 18, p is a prime number}, then C = {2,3,4,.........17} {2,4,6,8................16} {1,3,5,7,9,11,13,15,17} {3,6,9,12,15}
16 If A = {x/x is a positive integer and 4≤x<23}, then A= {1,2,3,4,5,6,7} {4,5,6...........22} {1,2,3,.........23} {1,2,3,4,5}
17 Z is a Infinite set Finite set Singleton set Set of all integers
18 {0} is a Empty set Singleton set Zero set Null Set
19 Every set is an improper subset of Empty set Equivalent set Itself Singleton set
20 Empty set is Not subset of every set Finite set Infinite set Not the member of real numbers
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