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 Which symbolic notation represent unary operation ? - ∨ ∧ ⇔
2 Which conjunction is not true ?
3 Power set of difference set N-W is Empty set Infinite set Singleton set {0,∅}
4 A onto B both a & c A into B none of these
5 a-b=ab ab=a a+b=ab
6 Group of none-singular matrices under multiplication is None-Abelian group Semi group Abelian group None of these
7 Z is a group under Subtraction Multiplication Addition None of these
8 The identity element of a set X with respect to intersection in P(x) is X Does not exist ∅ None of these
9 The extraction of cube root of a given number is a Unary Operation Binary Operation Relation None of these
10 The negation of given number is a Binary operation Unary operation Relation None of these
11 A conditional is regarded as false only when the antecedent is true and consequent is True False Known Unknown
12 A disjunction of two statement p and q is true p is false q is false Both p and q are false One of p and q is true
13 A conjunction of two statement p and q is true only if p is true q is true Both p and q are true both p and q are false
14 (A∩Bc)c= ------------------------- Ac∪Bc Ac∪B Ac∩B None of these
15 For a set A, A∪Ac= --------------------- A ∅ Ac U
16 A∪(A∪B)= -------------------- B A A∪B None of these
17 (A∪B)∪C= -------------------------- A∩B(B∪C) A∪(B∪C) A∪(B∩C) None of these
18 If B⊆ A, then complement of B in A is = ----------------------- A-B A∩B B-A A∪B
19 If A=B, then A⊂B and B⊂A A⊆B and B⊈A A⊆B and B⊆A None of these
20 The set X is Proper Subset of X Not A subset of X Improper Subset of X None of these
21 The function whose range consists of just one element is called One-One Function Identity Function Onto Function Constant Function
22 None of these
23 The set of natural is a semi group w.r.t Addition Division Subtraction None of these
24 A monoid (G, *) is said to be group if have identity element is commutative have inverse of each element None of these
25 The geometrical representation of a linear function is Circle Parabola Straight lie None of these
26 Addition Subtraction Multiplication None of these
27 None of these
28 If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called 1-1 and onto Bijective 1-1 and into None of these
29 Onto function is also called Binjective function Injective function Surjechive function None of these
30 The contra positive of p → q is q → p ~q→~q ~p→~q None of these
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