ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 A and B be two square matrices and if their inverse exist the (AB)-1 = A-1 B-1 AB-1 A-1B B-1A-1
2 If A and B are two matrices such that AB = B and BA = A then A2 + B2 = 2 AB 2 BA A + B AB
3 If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is Skew-symmetric Symmetric Null Diagonal
4 (ABC)' = CBA' CBA C'B'A C'B'A'
5 The set (Z, +) forms a group Forms a group w.r.t addition Forms a group w.r.t multiplication Non commutative group w.r.t multiplication Doesn't form a group
6 Power set of X i.e P(X)..........under the binary operation of union U Forms a group Does not form a group Has no identity element Infinite set although X is infinite
7 The set {Z\ {0} } is group w.r.t Addition Multiplication Division Subtraction
8 The set R is ........w.r.t subtraction Not a group A group No conclusion drawn Non commutative group
9 The set {1,-1,i,-i} Form a group w.r.t addition Form a group w.r.t multiplication Does not form a group w.r.t multiplication Not closed under multiplication
10 The set of complex numbers forms Commutative group w.r.t addition Commutative group w.r.t multiplication Commutative group w.r.t division Non commutative group w.r.t addition
11 The set {-1,1} is Group under the multiplication Group under addition Does not form a group Contains no identity element
12 The set {x +iy / x, y ∈ Q} forms a group under the binary operation of Addition Multiplication Division Both addition and multiplication
13 The set of integer is Finite group A group w.r.t addition A group w.r.t multiplication Not a group
14 To each element of a group there corresponds ............. inverse element Two One No Three
15 The function {f(x,y)|y = ax2 +bx +c} is One-one function Constant function Onto function Quadratic function
16 A function whose range is just one element is called One-one function Constant function Onto function Identity function
17 A function in which the second elements of the order pairs are distinct is called Onto function One-one function Identity function Inverse function
18 The set of the first elements of the orders pairs forming a relation is called its Relation in B Range Domain Relation In A
19 If #n = (n-5)2 + 5, then find #3 x #4. 54 12 4 9
20 (A ∩ B)c = A∩ B (A ∪ B)c Ac∪Bc Φ
21 The set { {a,b} } is Infinite set Singleton set Two points set Empty set
22 {x : xε Z and x < 1} is Singleton set A set with two points Empty set None of these
23 Φ set is the _______ of all sets Subset Union Universal Intersection
24 In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages 45 30 25 50
25 In a school there are 150 students Out of these 80 students enrolled for mathematics class.50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time find the number of students who have taken both physics and mathematics. 40 30 50 60
26 Decimal part of irrational number is Terminating Repeating only Neither repeating nor terminating Repeating and terminating
27 Multiplicative inverse of 0 is 0 1 ±1 Does not exist
28 The identity element with respect to subtraction is 0 1 -1 Does not exist
29 If A = {x / x ∈ R ∧ x2 - 16 = 0} then A = - x Infinite set Φ {-4,4}
30 Additive inverse of - a - b is a -a + b a - b a + b
Download This Set

Is this page helpful?