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

A = B if

• 
  A
• 
  B
• 
  C
• A is equivalent to B 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

For any set B, BUB' is

• Is set B A
• Set B' B
• Universal set C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

A function whose range is just one elements is called

• One-one function A
• Constant function B
• Onto function C
• Identity function 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 natural is a semi group w.r.t

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

The set { {a, b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set 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

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

Additive inverse of -a -b is

• a A
• -a + b B
• a - b C
• a + b D

The set (Z, +) forms a group

• Forms a group w.r.t addition A
• Forms a group w.r.t multiplication B
• Non commutative group w.r.t multiplication C
• Doesn't form a group D

If E = { } , then P(E)

• ∅ A
• { } B
• {(2),(4),(6)....} C
• (∅) D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• A = B A
• B = C B
• A = C C
• None of these 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

• A A
• B B
• A'B' C
• B'A D

• A A
• A' B
• U C
• A A' D

If A = {x/x is a positive integer and 4≤x<23}, then A=

• {1,2,3,4,5,6,7} A
• {4,5,6...........22} B
• {1,2,3,.........23} C
• {1,2,3,4,5} D

• Biconditional A
• Implication B
• Antecedent C
• Hypothesis D

• A = C A
• A = B B
• B = C C
• None of these D

Given X, Y are many two sets such that number of elements in X = 18, number of elements in set Y = 24, and number of elements in set X ∪ Y = 40, then number of elements in set X + Y =

• 3 A
• 1 B
• 2 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D