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

The set (Z,+) forms a group

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

• a-b=ab A
• ab=a B
• a+b=ab C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

A set having only one element is called

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

• 
  A
• 
  B
• 
  C
• 
  D

The negation of given number is a

• Binary operation A
• Unary operation B
• Relation C
• None of these D

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

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

The set of natural numbers is a subset of

• {1, 2, 3, .... 100} A
• The set of whole numbers B
• {2, 4, 6, 8, .....} C
• None of these D

• A A
• A' B
• U C
• A A' D

If we have a statement "if p then q" then q is called

• Conclusion A
• Implication B
• Unknown C
• Hypothesis D

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

• 2n A
• n² B
• n/2 C
• 2ⁿ D

The graph of a quadratic function is

• Circle A
• Ellipse B
• Parabola C
• Hexagon D

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

• A A
• B B
• A' C
• None of these D

The function whose range consists of just one element is called

• One-One Function A
• Identity Function B
• Onto Function C
• Constant Function D

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

• 
  A
• A B
• A' C
• U D

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

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

• A A
• A' B
• U C
• None of these D

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

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

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

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

If A is a set then any subset R of A x A is called

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

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

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

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

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

If B⊆ A, then complement of B in A is = -----------------------

• A-B A
• A∩B B
• B-A C
• A∪B 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

(A∪B)∪C= --------------------------

• A∩B(B∪C) A
• A∪(B∪C) B
• A∪(B∩C) C
• None of these D