ECAT Computer Science Entry Test With Answers

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ECAT Computer Science Entry Test

Sr. # Questions Answers Choice
1 If f(x) = ax2, and a>0, then the lowest point on the parabola is called. Vertex of parabola Co-ordinates of parabola Roots of the equation Coefficient of the equation
2 If a parabola opens down, then its vertex is at the Right of the parabola Left of parabola Lowest point on the parabola Highest point on the parabola
3 The root of the quadratic equation are 3 2 1 4
4 In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is Straight line Circle Hyperbola Symmetric w.r.t.0
5 In quadratic equation y=ax3 +bx+c, if b and c are both zero then the graph is Symmetric w.r.t.y-axis Symmetric w.r.t.x-axis Straight Line Circle
6 In quadratic equation f(x) = ax2,if a >0, then the graph of parabola Opens up Opens down close up symmetric w.r.t.x.axis
7 The graph of the quadratic equation is Straight line Circle Parabola elipse
8 The solution of the quadratic equation x2 -7x + 10=0, is 2 5 2,5 7
9 the largest degree of the terms in the polynomials is called terms of the polynomial degree of a polynomial co-efficient monomial
10 The roots of the equation x2 +6x-7=0,are 1 2 1 and -7 -7
11 A quadratic equation has two roots degree variables constants
12 Another name of quadratic equation is Polynomial 2nd degree polynomial Linear equation simaltaneous equations
13 A quadratic equation in x is an equation that can be witten in the form ax<sup>2 </sup>+ b = 0 ax<sup>3</sup> +b<sup>2</sup>+c=0 ax<sup>2</sup> +bx+c=0 ax<sup>3</sup> +bx<sup>3</sup>+cx=0
14 Every subset of a finite set is Disjoint Null Finite Infinite
15 0 is a symbol of singleton set Empty set Equivalent set Infinite set
16 The number of subsets of B = {1,2,3,4,5} 10 32 16 5
17 The number of proper subset of A ={a.b.c.d} is 3 6 8 15
18 The many subset can be formed from the set {a,b,c,d} 8 4 12 16
19 The number of subset of {0} is 1 2 3 None
20 If E = { } , then P(E) ∅ { } {(2),(4),(6)....} (∅)
21 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}
22 The set of even prime numbers is (2,4,6,8,10} {2,4,6,8,10,12} {1,3,5,7,9} {2}
23 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)
24 If A = {2m/m3= 8 , m€ Z} then A =

 {1,8,27} {4} (2,4,6} {2,16,54}
25 If 0 = {1,3,5.......}, then n (0) = Infinite Even numbers odd integers 99
26 If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) = 5 {-3,-2,-1,0,1,2,3,4,5,6} 8 9
27 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}
28 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}
29 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}
30 Z is a Infinite set Finite set Singleton set Set of all integers
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