ECAT Mathematics Chapter 2 Set Function and Groups

The set of months in a year beginning with S.

• {September, October, November} A
• Singleton set B
• Null set C
• Empty set D

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

• 1 A
• 12 B
• 5 C
• 29 D

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

• A A
• A' B
• U C
• A A' D

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

• 2n A
• n² B
• n/2 C
• 2ⁿ D

• 1/x A
• -x B
• 2x C
• 0.5 x D

(A ∩ B)c =

• A∩ B A
• (A ∪ B)c B
• Ac∪Bc C
• Φ D

• a-b=ab A
• ab=a B
• a+b=ab C
• 
  D

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

• 2, 2, 2 A
• 3, 3, 3 B
• 2, 2, 4 C
• 2, 3, 4 D

The graph of a quadratic function is

• Circle A
• Straight line B
• Parabola C
• Triangle D

• square root function A
• identity function B
• linear function C
• quadratic function D

• 
  A
• 
  B
• 
  C
• 
  D

Decimal part of irrational number is

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

The set { {a,b} } is

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

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

• domain A
• range B
• relation C
• function D

Identity w.r.t intersection in a power set of any set is

• ∅ A
• Set itself B
• Singleton set C
• {0} D

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  D

For any set X, X∪X is

• X A
• X' B
• Φ C
• Universal Set D

Onto function is also called

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

A function whose range is just one element is called

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

• 4 A
• 3 B
• 2 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

{0} is a

• Empty set A
• Singleton set B
• Zero set C
• Null Set D

• 
  A
• 
  B
• 
  C
• none of these D

The set of even prime numbers is

• (2,4,6,8,10} A
• {2,4,6,8,10,12} B
• {1,3,5,7,9} C
• {2} D

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

• 5 A
• {-3,-2,-1,0,1,2,3,4,5,6} B
• 8 C
• 9 D

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

If A is a set then any subset R of A x A is called

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