ECAT Pre General Science Mathematics Chapter 2 Set, Functions and Groups Online Test

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

• 
  A
• 
  B
• 
  C
• 
  D

A conjunction of two statement p and q is true only if

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

Φset is the ______ of all sets?

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

Which symbolic notation represent unary operation ?

• - 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

• 
  A
• 
  B
• 
  C
• None of these D

Z is a group under

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

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

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

Power set of X i.e P(X)..........under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite D

If x = 1/x for x ∈ R then the value of x is

• ±1 A
• 0 B
• 2 C
• 4 D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D

• A onto B A
• both a & c B
• A into B C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

The set { {a, b} } is

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

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

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

• 1-1 and onto A
• Bijective B
• 1-1 and into C
• None of these D

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

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

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

• Evert element of A is in B A
• Every element of B is in A B
• Every element of A is in B' C
• Every element of A is in A 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

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

if A = (x/x€ Q˄ 0 < x < 1}, the A is

• Infinite set A
• Finite set B
• Set of rational numbers C
• Set of real numbers D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is the definition of singleton

• The objects in a set A
• A set having no element B
• A set having no subset C
• None of these D

If A∩B=B, then n(A∩B) is equal to

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

The set which has no proper subset is

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

Φ set is the _______ of all sets

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