ECAT Pre Engineering Entry Test With Answers

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ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
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6 None of these
7 i-(4n+2) = ------------------------------- 1 i -1 -i
8 i is equal (1 , 0) (0 , 1) (1 , 1) (0 , 0)
9 If z1 = (a,b), z2=(c,d), then z1 z2 = ------------------- (ac,bd) (ac+bd, ad-bc) (ac-bd , ad+bc) (ac-bd , ad-bc)
10
11 If z = (x,y) , then  z ̅  = (-x,y) (x,-y) (-x, -y) None of these
12 If z=(x,y) then z has no multiplicative inverse when x ≠ 0, y = 0 x = 0, y = 0 x = 0, y ≠ 0 None of these
13 ∀x,y∈R and x> 0 , y>0, if x > y None of these
14 ∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is Trichotomy property Transitive property Symmetric property Additive property
15 For any real numbers x,y,xy=o ⇒ x ≠ 0 ∧ y ≠ 0 x = 0 ∨ y = 0 x = 0 y = 0
16 If z1 = 1 + 2i, z2 = 3 + 4i then z<sub>1</sub> &gt; z<sub>2</sub> z<sub>1</sub>&nbsp;= z<sub>2</sub> z<sub>1</sub>&nbsp;&lt; z<sub>2</sub> None of these
17 ∀ z ∈ C, multipliucative is (1,1) (1,0) (0,1) None of these
18 A subset of set of complex number whose elements are of the form (a,0) is called Real number Complex number Rational number Irrational number
19 The square roots of negative numbers is called Real no Complex no Positive no Negative no
20 The set {0,-1} hold closure property under Addition Both a &amp; c Multiplication None of these
21 If in a set of real no a is additive identity then a+a = 2a a+a = 1 a+a = 0 None of these
22 If in a set of real no a is multiplicative identity then a,a = a<sup>2</sup> a,a = 1 a,a = 0 None of these
23 A non-terminating non_recurring decimal represents an Irrational no Both a &amp; c Rational no None of these
24 2.333....is a Irrational no Complex no Rational no None of these
25 ∀x,y∈ R and x < 0, y < 0, which one is true  xy &lt; o xy = o xy &gt; o None of these
26 ∀x,y,z ∈ R and z 0,then x &gt; y&nbsp;⇒ xz &gt; yz x&lt;y&nbsp;⇒ xz &lt; yz x &lt; y&nbsp;⇒ xz &gt; yz None of these
27 ∀a,b,c∈R and c>0,then a&gt;b&nbsp;⇒ ac &lt; bc a&gt;b&nbsp;⇒ ac &gt; bc a&lt;b&nbsp;⇒ ac &gt; bc None of these
28 ∀x, y ∈ R, either x = y or x > y or x < y is Transitive property Reflexive property Trichotomy property None of these
29 √x = ______ if is a prime number Rational no Natural no Irrational no Complex no
30 A prime number can be a factor of a square only if it occurs in the square at least Once Thirce Twice None of these
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