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

The set of all positive even integers is

• Not a group A
• A group w.r.t subtraction B
• A group w.r.t division C
• A group w.r.t multiplication D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

The geometrical representation of a linear function is

• Circle A
• Parabola B
• Straight lie C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

• 4 A
• 3 B
• 2 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

• Natural numbers A
• Whole numbers B
• Integers C
• Rational numbers D

• 
  A
• 
  B
• 
  C
• 
  D

The set R is ______ w.r.t subtraction

• Not a group A
• A group B
• No conclusion drawn C
• Non commutative group D

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• 
  D

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

If C={p/p < 18, p is a prime number}, then C =

• {2,3,4,.........17} A
• {2,4,6,8................16} B
• {1,3,5,7,9,11,13,15,17} C
• {3,6,9,12,15} D

A statement which is either true or false is called

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

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• A = B A
• B = C B
• A = C C
• None of these D

• A is proper subset of B A
• A is an improper subset of B B
• A is equivalent to B C
• B is subset of A D

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

• 1 A
• -1 B
• +-1 C
• 0 D

A disjunction of two statement p and q is true

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

The set which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these D

• A A
• B B
• A'B' C
• B'A D

• 4 A
• 3 B
• 2 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

The set of natural is a semi group w.r.t

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

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

• 
  A
• 
  B
• 
  C
• 
  D