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

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 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

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

• 10 A
• 32 B
• 16 C
• 5 D

For any two sets A and, A ⊆ B if

• x ∈ A ⇒ x ∈ B A
• x ∉ A ⇒ x ∉ B B
• x ∈ A ⇒ x ∉ B C
• None of these D

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

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

• 0 A
• 1 B
• 2 C
• 3 D

The set {{a,b}} is

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

The function whose range consists of just one element is called

• One-One Function A
• Identity Function B
• Onto Function C
• Constant Function D

The set of the first elements of the ordered pairs forming a relation is called its

• Function on B A
• Range B
• Domain C
• A into B 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

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

• A = B A
• B = C B
• A = C 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

• A A
• A' B
• U C
• None of these D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None 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 symbolic notation represent unary operation ?

• - A
• ∨ B
• ∧ C
• ⇔ D

Which of the following is the subset of all sets?

• 
  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 geometrical representation of a linear function is

• Circle A
• Parabola B
• Straight lie C
• None of these D

• 1/x A
• -x B
• 2x C
• 0.5 x D

The set R is ........w.r.t subtraction

• Not a group A
• A group B
• No conclusion drawn C
• Non commutative group D

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

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

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

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

The set of integers is a subset of

• The set of natural numbers A
• The set of whole numbers B
• The set of prime numbers C
• The set of rational numbers D

0 is a symbol of

• singleton set A
• Empty set B
• Equivalent set C
• Infinite set 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

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

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

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