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

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

• Improper subset of B A
• Super set of B B
• Proper subset of B C
• None of these D

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

For any set B, BUB' is

• Is set B A
• Set B' B
• Universal set C
• None of these D

The set of months in a year beginning with S.

• {September, October, November} A
• Singleton set B
• Null set C
• Empty set 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
• U' D

The negation of a number

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

The number of different ways of describing a set is

• One A
• Two B
• Three C
• Four D

• square root function A
• identity function B
• linear function C
• quadratic function 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 A
• B B
• U C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• 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

Which of the following is the definition of singleton

• The objects in a set A
• A set having no element B
• A set having no subset 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

Group of none-singular matrices under multiplication is

• None-Abelian group A
• Semi group B
• Abelian group 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

• An empty set A
• Universal set B
• A singleton set C
• None of these D

Multiplicative inverse of 0 is

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• +-1 C
• 0 D

Which of the following sets in infinite

• The set of students of your class A
• The set of all schools in Pakistan B
• The set of natural numbers between 3 and 10 C
• The set of rational numbers between 3 and 10 D

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

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

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

The graph of a quadratic function is

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

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D