Mathematics ECAT Pre Engineering Chapter 1 Number System Online Test With Answers

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Mathematics ECAT Pre Engineering Chapter 1 Number System Online Test

Sr. # Questions Answers Choice
1
2 None of these
3 i-(4n+2) = ------------------------------- 1 i -1 -i
4 i is equal (1 , 0) (0 , 1) (1 , 1) (0 , 0)
5 If z1 = (a,b), z2=(c,d), then z1 z2 = ------------------- (ac,bd) (ac+bd, ad-bc) (ac-bd , ad+bc) (ac-bd , ad-bc)
6
7 If z = (x,y) , then  z ̅  = (-x,y) (x,-y) (-x, -y) None of these
8 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
9 ∀x,y∈R and x> 0 , y>0, if x > y None of these
10 ∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is Trichotomy property Transitive property Symmetric property Additive property
11 For any real numbers x,y,xy=o ⇒ x ≠ 0 ∧ y ≠ 0 x = 0 ∨ y = 0 x = 0 y = 0
12 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
13 ∀ z ∈ C, multipliucative is (1,1) (1,0) (0,1) None of these
14 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
15 The square roots of negative numbers is called Real no Complex no Positive no Negative no
16 The set {0,-1} hold closure property under Addition Both a &amp; c Multiplication None of these
17 If in a set of real no a is additive identity then a+a = 2a a+a = 1 a+a = 0 None of these
18 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
19 A non-terminating non_recurring decimal represents an Irrational no Both a &amp; c Rational no None of these
20 2.333....is a Irrational no Complex no Rational no None of these
21 ∀x,y∈ R and x < 0, y < 0, which one is true  xy &lt; o xy = o xy &gt; o None of these
22 ∀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
23 ∀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
24 ∀x, y ∈ R, either x = y or x > y or x < y is Transitive property Reflexive property Trichotomy property None of these
25 √x = ______ if is a prime number Rational no Natural no Irrational no Complex no
26 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
27 Any recurring decimal represents a Irrational no Integer Rational no None of these
28 The order axioms are satisfied by set of C C and R R None of these
29 If a is any real number and a = a is called symmetric property Trichotomy Properties Transitive Property Reflexive Properties
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