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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• Two A
• One B
• No C
• Three D

• 
  A
• 
  B
• 
  C
• 
  D

The graph of a quadratic function is

• Circle A
• Ellipse B
• Parabola C
• Hexagon D

(A∪B)∪C= --------------------------

• A∩B(B∪C) A
• A∪(B∪C) B
• A∪(B∩C) C
• None of these D

Group of none-singular matrices under multiplication is

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

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  D

{1, 2, 3} is _____

• an infinite set A
• A finite set B
• A singleton set C
• Universal set D

If A⊆ B, and B is a finite set, then

• n (a) < n(B) A
• n(B)<(A) B
• n(A)≤ n (B) C
• n(A)≥ n(B) D

• A A
• A' B
• U C
• U' 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 statement that a group can have more than one identity elements is

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

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

• -a A
• a + 1 B
• -2 -a C
• None of these D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

The geometrical representation of a linear function is

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

• 
  A
• 
  B
• 
  C
• 
  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

For a set A, A∪Ac= ---------------------

• A A
• ∅ B
• Ac C
• U D

Given X, Y are many two sets such that number of elements in X = 18, number of elements in set Y = 24, and number of elements in set X ∪ Y = 40, then number of elements in set X + Y =

• 3 A
• 1 B
• 2 C
• 4 D

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

• A A
• B B
• A'B' C
• B'A D

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

• 
  A
• 
  B
• 
  C
• 
  D

The set {1,-1, i, -i} form a group under

• Addition A
• Multiplication B
• Subtraction C
• None D

The many subset can be formed from the set {a,b,c,d}

• 8 A
• 4 B
• 12 C
• 16 D

The set (Z, +) forms a group

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

A set having only one element is called

• An empty set A
• Universal set B
• A singleton set C
• A power set D

Decimal part of irrational number is

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