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

• a constant function A
• linear function B
• quadratic funtion C
• none of these D

• 
  A
• 
  B
• 
  C
• None of these D

The graph of a linear function is

• a circle A
• triangle B
• a straight line C
• none of these D

For any set B,B∪B' is

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

The set which has no proper subset is

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

The multiplicative inverse of x such that x = 0 is

• -x A
• Does not exist B
• 1/x C
• ±1 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 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

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

• A-B A
• A∩B B
• B-A C
• A∪B D

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

• A A
• B B
• U C
• None of these D

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

If p and q are two statements then their biconditional 'p if q' is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

The set R is ........w.r.t subtraction

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

• 
  A
• 
  B
• 
  C
• 
  D

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The set { {a,b} } is

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

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

• Two A
• One B
• No C
• Three D

If a = {2m/2m < 9 ,m€ p} , the (n A) =

• {2,3,4,5,6,7,8} A
• {2,4,6,8............16} B
• { 4, 6} C
• {2,3,5,7} D

A = B iff

• All elements of A also the elements of B A
• A and B should be singleton B
• A and B have the same number of elements C
• If both have the same element D

A = B if

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

Φset is the ______ of all sets?

• Subset A
• Union B
• Universal C
• Intersection D

The identity element of a set X with respect to intersection in P(x) is

• X A
• Does not exist B
• ∅ C
• None of these 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

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication D

If A and B are two sets then intersection of A and B is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The set of natural numbers is a subset of

• {1, 2, 3, .... 100} A
• The set of whole numbers B
• {2, 4, 6, 8, .....} C
• None of these D

If A = {x/x is a positive integer and 4≤x<23}, then A=

• {1,2,3,4,5,6,7} A
• {4,5,6...........22} B
• {1,2,3,.........23} C
• {1,2,3,4,5} D