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

The set X is

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

Z is a

• Infinite set A
• Finite set B
• Singleton set C
• Set of all integers D

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

• 8 A
• 4 B
• 12 C
• 16 D

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

The set R is ______ w.r.t subtraction

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

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

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

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

• 2n A
• n² B
• n/2 C
• 2ⁿ D

• 1 A
• 12 B
• 5 C
• 29 D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} 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

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

Additive inverse of -a -b is

• a A
• -a + b B
• a - b C
• a + b D

The number of subsets of B = {1,2,3,4,5}

• 10 A
• 32 B
• 16 C
• 5 D

• A A
• B B
• A' C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

{1, 2, 3, 4,.....} is set of ______

• Natural numbers A
• Whole numbers B
• Integers C
• Rational numbers D

For a set A, A∪Ac= ---------------------

• A A
• ∅ B
• Ac C
• U D

Z is a group under

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• B B
• A'B' C
• B'A D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

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

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

The set of all positive even integers is

• Not a group A
• A group w.r.t. subtraction B
• A group w.r.t. division C
• A group w.r.t. multiplication D

• 
  A
• A B
• A' C
• U D