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

{x|x∈R∧x≠x} is a

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

• 1/x A
• -x B
• 2x C
• 0.5 x D

• 
  A
• 
  B
• 
  C
• 
  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

A function whose range is just one elements is called

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

• 
  A
• 
  B
• 
  C
• 
  D

• -x A
• Infinite set B
• {-4, 4} C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D

The sets {1, 2, 4} and {4, 6, 8, 10} are

• Equal sets A
• Equivalent sets B
• Disjoint sets C
• Over lapping sets D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite 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

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

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

The set of months in a year beginning with S.

• {September, October, November} A
• Singleton set B
• Null set C
• Empty set 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 A
• B B
• U C
• None of these 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

Under multiplication, solution set of is

• Groupoid A
• Abelian group B
• Semi group C
• All of these D

If A and B are two sets then intersection of A and B is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• n(A) A
• n(B) B
• 0 C
• 1 D

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

• 1 A
• 2 B
• 3 C
• 4 D

A - B = ______

• 
  A
• 
  B
• 
  C
• 
  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 set having only one element is called

• An empty set A
• Universal set B
• A singleton set C
• A power set D

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

• 2n A
• n² B
• n/2 C
• 2ⁿ D

Additive inverse of -a -b is

• a A
• -a + b B
• a - b C
• a + b 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

• 
  A
• 
  B
• 
  C
• 
  D