ECAT Mathematics Online Test With Answers

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ECAT Mathematics Online Test

Sr. # Questions Answers Choice
1 √-1 b= b 2 2b None of these
2 i9 = i<sup>2</sup> -1 1 i
3 i2 =  1 2 -1 0
4 (a,0) x (c,0) = (0,ac) (ac,0) (0,0) (a,c)
5 (a,b) +(-a,-b) = (0,0) (a,b) (-a,-b) (1,1)
6 The conjugate of √5 i is √5 -√5 i i 5i
7 (a +bi) -c (c +di) = (a +b) = (c +d) (a +c) + i(b +d) (a -c) + (c -d)<i>i</i> (a -c) +(b -d)&nbsp;<i>i</i>
8 i3 = -1 i -i 1
9 In (x +iy) y is called as Imaginary part Complex number Real part None of above
10 In (x + iy) x is the known as Imaginary part of complex number Real part of complex number Complex number None of above
11 i = √1 √2 √-2 √-1
12 The property used in -3 <-2 ⇒0 <1 Commutative property Additive property of inequality Additive inverse Additive identity
13 (√3+√5)+√7 = √3 +(√5 +√7) property used in above is Commutative property of addition Closure property of addition Additive inverse Associative property w.r.t to adition
14 (a-1)-1 = a-1 a -a None of above
15 a >b ⇒a +c >b +c is known as Trichotomy property Additive property of inequality Transitive property Multiplicative property
16 a >b, b >c ⇒a >c is a Multiplicative property Additive property Trichotomy property Transitive property of inequality
17 If a > b or a < b than a = b is a Additive property Transitive property Trichotomy property of inequality
18 ∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a Symmetric property Cancellation property w.r.t multiplication Reflexive property Transitive property
19 ∀a,b, c ε R,a +c = b + c = > a = b Reflexive property Symmetric property Cancellations property w.r.t. addition Transitive property
20 ∀a,b ε R, ab = be is a Commutative law of multiplication Closure law of multiplication Associative law of multiplication Multiplicative identity
21 a.a-1 = a-1.a = 1 is a Commutative law of multiplication Multiplicative identity Associative law of multiplication Multiplicative inverse
22 Associative law of multiplication ab - ba a(bc) = (ab) c a(b + c) = ab +ac (a +b)c = ac + bc
23 ∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of Commutative law of addition Associative law of addition Additive identity Additive inverse
24

If ∀a,b ε R,then a +b  ε  R is a property

 Closure law of addition Associative law of addition Additive inverse Additive identity
25 202.04 is an example of Recurring decimals Non-recurring decimals Terminating decimals None of these
26 √2 is a number Rational Irrational Even Odd
27 √25 is a number Rational Irrational Natural Odd
28 The symbol of irrational is W N Q Q<i>'</i>
29 QUQ, = N R W Z
30 The set {1,2,3,4......} is called Set of natural numbers Set of whole numbers Set of rational number Set of irrational numbers
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