ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 2

A function whose range is just one element is called

• One-one function A
• Constant function B
• Onto function C
• Identity function D

The set (Z, +) forms a group

• Forms a group w.r.t addition A
• Forms a group w.r.t multiplication B
• Non commutative group w.r.t multiplication C
• Doesn't form a group D

If A∩B=B, then n(A∩B) is equal to

• n(a) A
• n(a)+n(c) B
• n(c) C
• None of these D

Φ set is the _______ of all sets

• Subset A
• Union B
• Universal C
• Intersection 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

The set of whole numbers is subset of

• The set on integers A
• The set of natural numbers B
• {1, 3, 5, 7, ....} C
• The set of prime numbers D

Which of the following is the definition of singleton

• The objects in a set A
• A set having no element B
• A set having no subset C
• None of these D

A = B if

• 
  A
• 
  B
• 
  C
• A is equivalent to B D

The multiplicative inverse of x such that x = 0 is

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

If A=B, then

• A⊂B and B⊂A A
• A⊆B and B⊈A B
• A⊆B and B⊆A C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If B⊆ A, then complement of B in A is = -----------------------

• A-B A
• A∩B B
• B-A C
• A∪B D

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true 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

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

• 2,2,2 A
• 3,3,3 B
• 2,2,4 C
• 2,3,4 D

A monoid (G, *) is said to be group if

• have identity element A
• is commutative B
• have inverse of each element C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The set of integer is

• Finite group A
• A group w.r.t addition B
• A group w.r.t multiplication C
• Not a group D

The set { {a, b} } is

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

• Improper subset of B A
• Super set of B B
• Proper subset of B C
• None of these D

The function {f(x,y)|y = ax2 +bx +c} is

• One-one function A
• Constant function B
• Onto function C
• Quadratic function D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

A statement which is either true or false is called

• Induction A
• Deduction B
• Propositicon C
• Logic D

If A and B are two sets then any subset R of B x A is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D