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

• A A
• B B
• U C
• None of these D

Let A and B be two sets. If every element of A is also an element of B then

• 
  A
• 
  B
• 
  C
• 
  D

Group of none-singular matrices under multiplication is

• None-Abelian group A
• Semi group B
• Abelian group C
• None of these D

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

• 2n A
• n² B
• n/2 C
• 2ⁿ D

• 
  A
• 
  B
• 
  C
• 
  D

(A ∩ B)c =

• A∩ B A
• (A ∪ B)c B
• Ac∪Bc C
• Φ 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 function in which the second elements of the order pairs are distinct is called

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

Every set is an improper subset of

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

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

The number of different ways of describing a set is

• One A
• Two B
• Three C
• Four D

A function whose range is just one elements is called

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

If B-A≠φ , then n(B-A) is equal to

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

• A A
• A' B
• U C
• None of these D

• a-b=ab A
• ab=a B
• a+b=ab C
• 
  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

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  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

In set builder notation the set {0, 1, 2, ............, 100} can be written as

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• B B
• U C
• None of these D

• 
  A
• 
  B
• 
  C
• None of these D

If D = {a} , the P(D) =

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

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

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

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

0 is a symbol of

• singleton set A
• Empty set B
• Equivalent set C
• Infinite set D

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D