ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 2

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

In set builder notation the set {0, 1, 2, ............, 100} can be written as

• 
  A
• 
  B
• 
  C
• 
  D

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

• 5 A
• {-3,-2,-1,0,1,2,3,4,5,6} B
• 8 C
• 9 D

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

• ±1 A
• 0 B
• 2 C
• 4 D

• A A
• A' B
• U C
• None of these 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

• 
  A
• 
  B
• 
  C
• 
  D

Empty set is

• Not subset of every set A
• Finite set B
• Infinite set C
• Not the member of real numbers D

• 
  A
• 
  B
• 
  C
• 
  D

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 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

• A A
• B B
• A' C
• None of these D

• 
  A
• 
  B
• 
  C
• None of these D

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The set of the first elements of the ordered pairs forming a relation is called its

• Function on B A
• Range B
• Domain C
• A into B D

Additive inverse of -a -b is

• a A
• -a + b B
• a - b C
• a + b 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

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

• 45 A
• 30 B
• 25 C
• 50 D

• n(A) A
• n(B) B
• 0 C
• 1 D

The set { {a,b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

What is the number of elements of the power set of { }

• 0 A
• 1 B
• 2 C
• 3 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

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

For any set X, X∪X is

• X A
• X' B
• Φ C
• Universal Set D

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

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

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

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

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
• -1-a C
• None of these D

Let A and B be two sets. If every element of A is also an element of B then

• 
  A
• 
  B
• 
  C
• 
  D