ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 2 (Set Function and Groups)

The multiplicative inverse of x such that x = 0 is

• -x A
• does not exist B
• 1/x C
• 0 D

To each element of a group there corresponds ............. inverse element

• Two A
• One B
• No C
• Three D

If x = 1/x for x ∈ R then the value of x is

• ±1 A
• 0 B
• 2 C
• 4 D

• A A
• B B
• U C
• None of these D

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D

A conjunction of two statement p and q is true only if

• p is true A
• q is true B
• Both p and q are true C
• both p and q are false D

The set Q

• Forms a group under addition A
• Does not form a group B
• Contains no additive indentity C
• Contains no additive inverse D

(A∪B)∪C= --------------------------

• A∩B(B∪C) A
• A∪(B∪C) B
• A∪(B∩C) C
• None of these D

The function whose range consists of just one element is called

• One-One Function A
• Identity Function B
• Onto Function C
• Constant Function D

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction D

The sets {1, 2, 4} and {4, 6, 8, 10} are

• Equal sets A
• Equivalent sets B
• Disjoint sets C
• Over lapping sets D

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

• A≠ C A
• B = C B
• A = B C
• A≠ B D

The set {-1,1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

A - B = ______

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• B B
• U C
• None of these D

The contra positive of p → q is

• q → p A
• ~q→~q B
• ~p→~q C
• None of these D

The set of the first elements of the ordered pairs forming a relation is called its

• Function on B A
• Range B
• Domain C
• A into B D

The negation of a number

• a relation A
• a function B
• unary operation C
• binary operation D

The set { {a,b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

Z is a

• Infinite set A
• Finite set B
• Singleton set C
• Set of all integers D

(A∩Bc)c= -------------------------

• Ac∪Bc A
• Ac∪B B
• Ac∩B C
• None of these D

The set {1, -1, i, -i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

The graph of a quadratic function is

• Circle A
• Straight line B
• Parabola C
• Triangle D

Which of the following sets is finite

• The set of natural numbers between 3 and 10 A
• The set of rational numbers between 3 and 10 B
• The set of real numbers between 0 and 1 C
• The set of rational numbers between 0 and 1 D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• 0 C
• Does not exist D

P∉ A means

• Pis subset of A A
• Pis an element of A B
• P does not belongs to A C
• A does not element of P D

• square root function A
• identity function B
• linear function C
• quadratic function D

Onto function is also called

• Binjective function A
• Injective function B
• Surjechive function C
• None of these D

The set {-1, 1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D