ECAT Mathematics Chapter 2 Set Function and Groups

For any set B,B∪B' is

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

Identity w.r.t intersection in a power set of any set is

• ∅ A
• Set itself B
• Singleton set C
• {0} D

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

• Addition A
• Multiplication B
• Subtraction C
• None 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

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

• 
  A
• 
  B
• 
  C
• 
  D

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

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

The function f{(x, y) | y = ax²+ bx + c} is

• One-one function A
• Constant function B
• Onto function C
• Quadratic function D

• square root function A
• identity function B
• linear function C
• quadratic function D

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

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D

• 
  A
• 
  B
• 
  C
• 
  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 function in which the second elements of the order pairs are distinct is called

• Onto function A
• One-one function B
• Identity function C
• Inverse function D

The logic in which every statement is regarded as true or false and no other possibility is called

• Aristotelian login A
• Inductive logic B
• Non-Aristotelian logic C
• None of these D

• A A
• A' B
• U 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 z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

• 36 +(-32)i A
• -36+32i B
• 6+(-11)i C
• 0, +(-12)i D

Multiplicative inverse of "1" is

• 0 A
• -1 B
• 1 C
• {0, 1} D

• 
  A
• 
  B
• 
  C
• 
  D

The negation of given number is a

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

The sets {1, 2, 4} and {4, 6, 8, 10} are

• Equal sets A
• Equivalent sets B
• Disjoint sets C
• Over lapping sets D

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

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

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

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

For any set X, X∪X is

• X A
• X' B
• Φ C
• Universal Set D

• 1 A
• 12 B
• 5 C
• 29 D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D