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

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  D

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

• Two A
• One B
• No C
• Three D

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

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

Which of the following is the subset of all sets?

• 
  A
• 
  B
• 
  C
• 
  D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

• A A
• A' B
• U C
• A A' D

{0} is a

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

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

• 0 A
• 1 B
• 2 C
• 3 D

Multiplicative inverse of "1" is

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

• 
  A
• 
  B
• 
  C
• 
  D

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 D

The many subset can be formed from the set {a,b,c,d}

• 8 A
• 4 B
• 12 C
• 16 D

• A onto B A
• both a & c B
• A into B C
• none of these 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

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

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

The set of months in a year beginning with S.

• {September, October, November} A
• Singleton set B
• Null set C
• Empty set D

• 
  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

Group of none-singular matrices under multiplication is

• None-Abelian group A
• Semi group B
• Abelian group C
• None of these 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

If C={p/p < 18, p is a prime number}, then C =

• {2,3,4,.........17} A
• {2,4,6,8................16} B
• {1,3,5,7,9,11,13,15,17} C
• {3,6,9,12,15} D

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

• 1 A
• -1 B
• +-1 C
• 0 D

Φset is the ______ of all sets?

• Subset A
• Union B
• Universal C
• Intersection 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

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

• 1/x A
• -x B
• 2x C
• 0.5 x D

• A A
• A' B
• U C
• U' D

• A A
• B B
• U 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