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

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

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

Empty set is

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

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The negation of a number

• a relation A
• a function B
• unary operation C
• binary operation D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• +-1 C
• Does not exist D

Z is a group under

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

{1, 2, 3, 4,.....} is set of ______

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

Φset is the ______ of all sets?

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

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

If B⊆ A, then complement of B in A is = -----------------------

• A-B A
• A∩B B
• B-A C
• A∪B 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

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

• 
  A
• 
  B
• 
  C
• 
  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

• 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

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

The contra positive of p → q is

• q → p A
• ~q→~q B
• ~p→~q C
• None of these D

A function whose range is just one elements is called

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

• 1/x A
• -x B
• 2x C
• 0.5 x D

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

• domain A
• range B
• relation C
• function D

For any set X, X∪X is

• X A
• X' B
• Φ C
• Universal Set D

The graph of a linear function is

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

If A = {2m/m³= 8 , m€ Z} then A =

• {1,8,27} A
• {4} B
• (2,4,6} C
• {2,16,54} D

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

• 0 A
• 1 B
• 2 C
• 3 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

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D

• 
  A
• 
  B
• 
  C
• 
  D

To each element of a group there corresponds ............. inverse element

• Two A
• One B
• No C
• Three D

• A A
• A' B
• U C
• U' D