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

The logic in which every statement is regarded as true or false and no other possibility is called

• Aristotelian login A
• Inductive logic B
• Non-Aristotelian logic C
• None of these D

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

• A = B A
• B = C B
• A≠ C C
• A ≠ B D

• a-b=ab A
• ab=a B
• a+b=ab C
• 
  D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

The set (Z, +) forms a group

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

A = B if

• 
  A
• 
  B
• 
  C
• A is equivalent to B 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

Which of the following is the subset of all sets?

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  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

Group of none-singular matrices under multiplication is

• None-Abelian group A
• Semi group B
• Abelian group 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

{x|x∈R∧x≠x} is a

• Infinite set A
• Null set B
• Finite set C
• None of these D

Under multiplication, solution set of is

• Groupoid A
• Abelian group B
• Semi group C
• All of these D

• 
  A
• 
  B
• 
  C
• 
  D

The number of subsets of B = {1,2,3,4,5}

• 10 A
• 32 B
• 16 C
• 5 D

(A ∩ B)c =

• A∩ B A
• (A ∪ B)c B
• Ac∪Bc C
• Φ D

• 
  A
• 
  B
• 
  C
• None of these D

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

The set { {a, b} } is

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

If A=B, then

• A⊂B and B⊂A A
• A⊆B and B⊈A B
• A⊆B and B⊆A C
• None of these D

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

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

• 0 A
• 1 B
• 2 C
• 3 D

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

• 
  A
• 
  B
• 
  C
• 
  D

A function whose range is just one element is called

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

If 0 = {1,3,5.......}, then n (0) =

• Infinite A
• Even numbers B
• odd integers C
• 99 D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

The number of proper subset of A ={a.b.c.d} is

• 3 A
• 6 B
• 8 C
• 15 D