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

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

• a-b=ab A
• ab=a B
• a+b=ab C
• 
  D

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

• 8 A
• 4 B
• 12 C
• 16 D

The graph of a quadratic function is

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

For any set B,B∪B' is

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

• 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

Multiplicative inverse of 0 is

• 0 A
• 1 B
• +-1 C
• Does not exist D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite 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

The set of rational numbers is subset of

• The set of natural numbers A
• The set of real numbers B
• The set of integers C
• The set of whole numbers 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

The set of natural is a semi group w.r.t

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

{0} is a

• Empty set A
• Singleton set B
• Zero set C
• Null Set D

Which of the following is the subset of all sets?

• 
  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 = C A
• A = B B
• B = C 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

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

The contra positive of p → q is

• q → p A
• ~q→~q B
• ~p→~q 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∩Bc)c= -------------------------

• Ac∪Bc A
• Ac∪B B
• Ac∩B C
• None of these D

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

A statement which is either true or false is called

• Induction A
• Deduction B
• Propositicon C
• Logic D

• a constant function A
• linear function B
• quadratic funtion C
• none of these D

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

• -a A
• a + 1 B
• -2 -a C
• None of these 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

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

• 1-1 and onto A
• Bijective B
• 1-1 and into C
• None of these D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D