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

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D

Which of the following is the definition of singleton

• The objects in a set A
• A set having no element B
• A set having no subset 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

• square root function A
• identity function B
• linear function C
• quadratic function D

The identity element of a set X with respect to intersection in P(x) is

• X A
• Does not exist B
• ∅ C
• None of these D

In set builder notation the set {0, 1, 2, ............, 100} can be written as

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• B B
• A' 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 A
• B B
• U C
• None of these D

A function in which the second elements of the order pairs are distinct is called

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

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

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

Which of the following is the subset of all sets?

• 
  A
• 
  B
• 
  C
• 
  D

For any set B, BUB' is

• Is set B A
• Set B' B
• Universal set C
• None of these D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

If p and q are two statements then their biconditional 'p if q' is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The function {f(x,y)|y = ax2 +bx +c} is

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

If S = {3,6,9,12.......}, then

• S = Four multiples of 3 A
• S = Set of even numbers B
• S = Set of prime numbers C
• S = All multiples of 3 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

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

• Conclusion A
• Implication B
• Antecedent C
• Hypothesis 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

• 
  A
• 
  B
• 
  C
• 
  D

The set of real numbers is a subset of

• The set of natural numbers A
• The set of rational numbers B
• The set of integers C
• The set of complex numbers D

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

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

• 1 A
• -1 B
• ±1 C
• 0 D
• Does not exist E

• A A
• A' B
• U C
• None of these 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