ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 2 (Set Function and Groups)

• 
  A
• 
  B
• 
  C
• 
  D

Onto function is also called

• Binjective function A
• Injective function B
• Surjechive function C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• A A
• A' B
• U C
• None of these D

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

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

{0} is a

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

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• A' B
• U C
• U' D

If a = {2m/2m < 9 ,m€ p} , the (n A) =

• {2,3,4,5,6,7,8} A
• {2,4,6,8............16} B
• { 4, 6} C
• {2,3,5,7} D

If n(A) = n then n(P(A)) is

• 2n A
• n² B
• n/2 C
• 2ⁿ 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 graph of a linear function is

• a circle A
• triangle B
• a straight line C
• none of these 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 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

Z is a

• Infinite set A
• Finite set B
• Singleton set C
• Set of all integers D

• 
  A
• 
  B
• 
  C
• 
  D

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• n(A) A
• n(B) B
• 0 C
• 1 D

Which symbolic notation represent unary operation ?

• - A
• ∨ B
• ∧ C
• ⇔ D

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects D

The set which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these 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

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D

If we have a statement "if p then q" then q is called

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

The number of different ways of describing a set is

• One A
• Two B
• Three C
• Four D

The set (Q, .)

• Forms a group A
• Does not form a group B
• Contains no additive identity C
• Contains no additive inverse D