Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test With Answers

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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test

Sr. # Questions Answers Choice
1 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
2 The statement that a group can have more than one identity elements is True False Ambiguous Some times true
3 The set {Z\{0}} is group w.r.t Addition Multiplication Division Subtraction
4 The set R is ______ w.r.t subtraction Not a group A group No conclusion drawn Non commutative group
5 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
6 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
7 The multiplicative inverse of -1 in the set {1-, 1} is 1 -1 +-1 0
8 The set {-1, 1} is Group under the multiplication Group under addition Does not form a group Contains no identity element
9 Addition Multiplication Division Both addition and multiplication
10 The set of integer is Finite group A group w.r.t addition A group w.r.t multiplication Not a group
11 To each element of a group there corresponds ______ inverse element Two One No Three
12 The function f{(x, y) | y = ax2+ bx + c} is One-one function Constant function Onto function Quadratic function
13 The graph of a quadratic function is Circle Straight line Parabola Triangle
14 A function whose range is just one elements is called One-one function Constant function Onto function Identity function
15 The set of the first elements of the orders pairs forming a relations is called its Relation in B Range Domain Relation in A
16 If #n = (n-5)2+ 5, then find #3 x #4. 54 12 4 9
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18 The set { {a, b} } is Infinite set Singleton set Two points set Empty set
19 Singleton set A set with two points Empty set None of these
20 Φset is the ______ of all sets? Subset Union Universal Intersection
21 In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages. 45 30 25 50
22 Decimal part of irrational number is Terminating Repeating only Neither repeating nor terminating Repeating and terminating
23 Multiplicative inverse of 0 is 0 1 +-1 Does not exist
24 The identity elements with respect to subtraction is 0 1 -1 Does not exist
25 -x Infinite set {-4, 4} None of these
26 1/x -x 2x 0.5 x
27 Additive inverse of -a -b is a -a + b a - b a + b
28 If a set S contains "n" elements then P (S) has ...... number of elements 2<sup>n</sup> 2<sup>2n</sup> 2 . n n<sup>2</sup>
29 Multiplicative inverse of "1" is +- 1 0 1 None of these
30 The set {-1, 1} is closed under the binary operation of Addition Multiplication Subtraction Division
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