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

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

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

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

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

(A ∩ B)c =

• A∩ B A
• (A ∪ B)c B
• Ac∪Bc C
• Φ D

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

Multiplicative inverse of 0 is

• 0 A
• 1 B
• +-1 C
• Does not exist 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

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

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

• Biconditional A
• Implication B
• Antecedent C
• Hypothesis D

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

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

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• +-1 C
• 0 D

• Natural numbers A
• Whole numbers B
• Integers C
• Rational numbers D

A monoid (G, *) is said to be group if

• have identity element A
• is commutative B
• have inverse of each element C
• None of these 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

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  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

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

A function whose range is just one element is called

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

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

Under multiplication, solution set of is

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

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

• {x / x∈ A∧ x∈ U} A
• {x / x∉ A∧ x ∈ U} B
• {x / x∈ A and x ∉ U} C
• A-U D

• 
  A
• 
  B
• 
  C
• 
  D

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D

Which conjunction is not true ?

• 
  A
• 
  B
• 
  C
• 
  D

Φ set is the _______ of all sets

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

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• A' B
• U C
• A A' D

• n(A) A
• n(B) B
• 0 C
• 1 D

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

• 
  A
• 
  B
• 
  C
• 
  D