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 A complex number A rational number A natural number An irrational number
2 Decimal part of irrational number is Terminating Repeating only Neither repeating nor terminating Repeating and terminating
3 Multiplicative inverse of 0 is 0 1 ±1 Does not exist
4 The identity element with respect to subtraction is 0 1 -1 Does not exist
5 If A = {x / x ∈ R ∧ x2 - 16 = 0} then A = - x Infinite set Φ {-4,4}
6 Additive inverse of - a - b is a -a + b a - b a + b
7 If a set S contains n elements then P (S) has ........ number of elements 2<sup>n</sup> 2<sup>n2</sup> 2.n n<sup>2</sup>
8 Total number of subsets that can be formed out of the set {a,b,c} is 1 4 8 12
9 In set builder notation the set {0,1,2,........100} can be written as {x / xε B&nbsp;∧ x ≤ 100} {x / x ∈ W&nbsp;∧ x&nbsp;&lt; 101} {x / x ∈ Z ∧ x&nbsp;&lt; 101} The set of first 100 whole numbers
10 Multiplicative inverse of "1" is 0 ±1 1 {0,1}
11 √(-1b) =? b i -i b b2 i√b
12 What is the conjugate of -6 -i -6 +i 6 + i -6 -i 6 -i
13 Which element is the additive inverse of (a,b) in Complex numbers (a,0) (0,b) (a,b) (-a,-b)
14 If Z1 = 1+ i, Z2 = 2+3i , then |Z1 -Z2| =? √5 √7 -1-2i √3
15 i101 = i i<sup>2</sup> -i -1
16 The polar form of complex number x ≠ I y = r&nbsp;cos θ+ r sin&nbsp;θ r cos θ+ is sin&nbsp;θ cos θ+ r sin&nbsp;θ i cos θ+ i sin&nbsp;θ
17 (7,9) +(3,-5) = (4,4) (10,4) (9,-5) (7,3)
18 √-1 b= b 2 2b None of these
19 i9 = i<sup>2</sup> -1 1 i
20 i2 =  1 2 -1 0
21 (a,0) x (c,0) = (0,ac) (ac,0) (0,0) (a,c)
22 (a,b) +(-a,-b) = (0,0) (a,b) (-a,-b) (1,1)
23 The conjugate of √5 i is √5 -√5 i i 5i
24 (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>
25 i3 = -1 i -i 1
26 In (x +iy) y is called as Imaginary part Complex number Real part None of above
27 In (x + iy) x is the known as Imaginary part of complex number Real part of complex number Complex number None of above
28 i = √1 √2 √-2 √-1
29 The property used in -3 <-2 ⇒0 <1 Commutative property Additive property of inequality Additive inverse Additive identity
30 (√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
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