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

• A A
• B B
• U C
• None of these D

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

• {x / x∈ A∧ x∈ U} A
• {x / x∉ A∧ x ∈ U} B
• {x / x∈ A and x ∉ U} C
• A-U D

If A and B are two sets then any subset R of A x B is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

Z is a group under

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

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

• 45 A
• 30 B
• 25 C
• 50 D

The number of proper subset of A ={a.b.c.d} is

• 3 A
• 6 B
• 8 C
• 15 D

• n(A) A
• n(B) B
• 0 C
• 1 D

If there is one-one correspondence between A and B, then we write.

• A = B A
• A⊆ B B
• A⊇ B C
• A ∼ B D

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

• 
  A
• 
  B
• 
  C
• 
  D

The graph of a quadratic function is

• Circle A
• Straight line B
• Parabola C
• Triangle D

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

• 2,2,2 A
• 3,3,3 B
• 2,2,4 C
• 2,3,4 D

• 1 A
• 12 B
• 5 C
• 29 D

• 
  A
• 
  B
• 
  C
• none of these D

The set {-1,1} is closed under the binary operation of

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

• 
  A
• 
  B
• 
  C
• 
  D

The set of integer is

• Finite group A
• A group w.r.t addition B
• A group w.r.t multiplication C
• Not a group D

Decimal part of irrational number is

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

The set X is

• Proper Subset of X A
• Not A subset of X B
• Improper Subset of X C
• None of these D

If p and q are two statements then their biconditional 'p if q' is denoted by

• 
  A
• 
  B
• 
  C
• 
  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
• 
  B
• 
  C
• 
  D

If p and q are two statements then their conjunction is denoted by

• 
  A
• 
  B
• 
  C
• 
  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

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

• 1 A
• 12 B
• 5 C
• 29 D

• 
  A
• 
  B
• 
  C
• 
  D

The set {1,-1, i, -i} form a group under

• Addition A
• Multiplication B
• Subtraction C
• None 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

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

If 0 = {1,3,5.......}, then n (0) =

• Infinite A
• Even numbers B
• odd integers C
• 99 D

For any two sets A and, A ⊆ B if

• x ∈ A ⇒ x ∈ B A
• x ∉ A ⇒ x ∉ B B
• x ∈ A ⇒ x ∉ B C
• None of these D