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

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

Which symbolic notation represent unary operation ?

• - A
• ∨ B
• ∧ C
• ⇔ D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• 2 C
• 3 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

• A A
• A' B
• U C
• None of these D

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

The set of whole numbers is subset of

• The set on integers A
• The set of natural numbers B
• {1, 3, 5, 7, ....} C
• The set of prime numbers D

If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

• 36 +(-32)i A
• -36+32i B
• 6+(-11)i C
• 0, +(-12)i D

If A⊆ B, and B is a finite set, then

• n (a) < n(B) A
• n(B)<(A) B
• n(A)≤ n (B) C
• n(A)≥ n(B) D

• 
  A
• 
  B
• 
  C
• 
  D

For any set B,B∪B' is

• Is set B A
• Set B' B
• Universal set C

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  D

Every subset of a finite set is

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

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

The set {1, -1, i, -i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

A function whose range is just one element is called

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

Decimal part of irrational number is

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

The extraction of cube root of a given number is a

• Unary Operation A
• Binary Operation B
• Relation C
• None of these D

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

If A=B, then

• A⊂B and B⊂A A
• A⊆B and B⊈A B
• A⊆B and B⊆A C
• None of these D

Identity w.r.t intersection in a power set of any set is

• ∅ A
• Set itself B
• Singleton set C
• {0} D

(A ∩ B)c =

• A∩ B A
• (A ∪ B)c B
• Ac∪Bc C
• Φ D

• A A
• B B
• U C
• None of these D

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

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

• Addition A
• Multiplication B
• Division C
• Subtraction D

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication D

{x|x∈R∧x≠x} is a

• Infinite set A
• Null set B
• Finite set C
• None of these D