ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 2

A function whose range is just one element is called

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

Empty set is

• Not subset of every set A
• Finite set B
• Infinite set C
• Not the member of real numbers D

• 
  A
• 
  B
• 
  C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

• Irrational numbers A
• Even numbers B
• Rational numbers C
• Whole numbers D

The total number of subsets that can be formed out of the set {a, b, c} is

• 1 A
• 4 B
• 8 C
• 12 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

• 1 A
• 12 B
• 5 C
• 29 D

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

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

• 1 A
• 12 B
• 5 C
• 29 D

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction D

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

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

• Two A
• One B
• No C
• Three 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 C={p/p < 18, p is a prime number}, then C =

• {2,3,4,.........17} A
• {2,4,6,8................16} B
• {1,3,5,7,9,11,13,15,17} C
• {3,6,9,12,15} 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
• B B
• A' C
• None of these D

The set of integer is

• Finite group A
• A group w.r.t addition B
• A group w.r.t multiplication C
• Not a group 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

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 D

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

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

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

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

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

What is the number of elements of the power set of { }

• 0 A
• 1 B
• 2 C
• 3 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 set { {a, b} } is

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

If E = { } , then P(E)

• ∅ A
• { } B
• {(2),(4),(6)....} C
• (∅) D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D

• 
  A
• 
  B
• 
  C
• 
  D