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

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

• domain A
• range B
• relation C
• function 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

The multiplicative inverse of x such that x = 0 is

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

• An empty set A
• Universal set B
• A singleton set C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition 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

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

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

• Evert element of A is in B A
• Every element of B is in A B
• Every element of A is in B' C
• Every element of A is in A 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 multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• +-1 C
• 0 D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

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

• Addition A
• none of these B
• Division C
• Subtraction D

If n(A) = n then n(P(A)) is

• 2n A
• n² B
• n/2 C
• 2ⁿ D

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

• ±1 A
• 0 B
• 2 C
• 4 D

• -x A
• Infinite set B
• {-4, 4} C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• A onto B A
• both a & c B
• A into B C
• none of these D

• A finite set A
• An infinite set B
• An empty set C
• None of these D

The set of integers is a subset of

• The set of natural numbers A
• The set of whole numbers B
• The set of prime numbers C
• The set of rational numbers D

If 0 = {1,3,5.......}, then n (0) =

• Infinite A
• Even numbers B
• odd integers C
• 99 D

Onto function is also called

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

• n(A) A
• n(B) B
• 0 C
• 1 D

For any set B,B∪B' is

• Is set B A
• Set B' B
• Universal set C

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D

The set {-1,1} is closed under the binary operation of

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

The set of rational numbers is subset of

• The set of natural numbers A
• The set of real numbers B
• The set of integers C
• The set of whole numbers D

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D