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

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

• a constant function A
• linear function B
• quadratic funtion 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

• 
  A
• 
  B
• 
  C
• 
  D

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

• ±1 A
• 0 B
• 2 C
• 4 D

A set having only one element is called

• An empty set A
• Universal set B
• A singleton set C
• A power set D

A function whose range is just one element is called

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

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• A is proper subset of B A
• A is an improper subset of B B
• A is equivalent to B C
• B is subset of A D

The extraction of cube root of a given number is a

• Unary Operation A
• Binary Operation B
• Relation C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  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

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

• Equal sets A
• Equivalent sets B
• Over lapping sets C
• None of these D

If A⊆ B, and B is a finite set, then

• n (a) < n(B) A
• n(B)<(A) B
• n(A)≤ n (B) C
• n(A)≥ n(B) D

Given X.Y are any 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

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of x such that x = 0 is

• -x A
• does not exist B
• 1/x C
• 0 D

Multiplicative inverse of "1" is

• +- 1 A
• 0 B
• 1 C
• None of these D

{0} is a

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

If A and B are two sets then any subset R of B x A is called

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

Which of the following is the subset of all sets?

• 
  A
• 
  B
• 
  C
• 
  D

The set {x|x∈N∧x-4=0} in tabular form is

• {-4} A
• {0} B
• {} C
• None of these D

The set of whole numbers is subset of

• The set on integers A
• The set of natural numbers B
• {1, 3, 5, 7, ....} C
• The set of prime numbers D

• A A
• B B
• A'B' C
• B'A D

Empty set is

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

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