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

• 
  A
• 
  B
• 
  C
• 
  D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

The number of different ways of describing a set is

• One A
• Two B
• Three C
• Four D

For any set X, X∪X is

• X A
• X' B
• Φ C
• Universal Set D

The total number of subsets that can be formed out of the set {a, b, c} is

• 1 A
• 4 B
• 8 C
• 12 D

A - B = ______

• 
  A
• 
  B
• 
  C
• 
  D

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

If B-A≠φ , then n(B-A) is equal to

• n(a)+n(c) A
• n(c)-n(a) B
• n(a)-n(c) C
• None of these D

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

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

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

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

• 
  A
• 
  B
• 
  C
• 
  D

The negation of a number

• a relation A
• a function B
• unary operation C
• binary operation D

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

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

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

The multiplicative inverse of x such that x = 0 is

• -x A
• does not exist B
• 1/x C
• 0 D

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set 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 function whose range is just one elements is called

• One-one function A
• Constant function B
• Onto function C
• Identity function 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

Which symbolic notation represent unary operation ?

• - A
• ∨ B
• ∧ C
• ⇔ D

If x = 1/x for x ∈ R then the value of x is

• ±1 A
• 0 B
• 2 C
• 4 D

If p and q are two statements then their biconditional 'p if q' is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• A onto B A
• both a & c B
• A into B C
• none of these D

• A A
• A' B
• U C
• None of these D

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

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

If the intersection of two sets is non-empty, but either is a subset of other are called

• Disjoint sets A
• Over lapping B
• Equal sets C
• None of these D