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

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

• n(A) A
• n(B) B
• 0 C
• 1 D

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

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

A = B iff

• All elements of A also the elements of B A
• A and B should be singleton B
• A and B have the same number of elements C
• If both have the same element D

• 
  A
• 
  B
• 
  C
• None of these D

The complement of set A relative to universal set U is the set

• 
  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

• A A
• A' B
• U C
• None of these D

if A = (x/x€ Q˄ 0 < x < 1}, the A is

• Infinite set A
• Finite set B
• Set of rational numbers C
• Set of real numbers D

• A finite set A
• An infinite set B
• An empty set 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

A conjunction of two statement p and q is true only if

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

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

• 
  A
• 
  B
• 
  C
• None of these D

The set of real numbers is a subset of

• The set of natural numbers A
• The set of rational numbers B
• The set of integers C
• The set of complex numbers D

The statement that a group can have more than one identity elements is

• True A
• False B
• Ambiguous C
• Some times true D

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

The set of the first elements of the orders pairs forming a relations is called its

• Relation in B A
• Range B
• Domain C
• Relation in A D

• 
  A
• 
  B
• 
  C
• none of these D

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

The geometrical representation of a linear function is

• Circle A
• Parabola B
• Straight lie C
• None of these D

0 is a symbol of

• singleton set A
• Empty set B
• Equivalent set C
• Infinite set 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

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects D

Given X.Y are any 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
• 
  B
• 
  C
• 
  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

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

• Irrational numbers A
• Even numbers B
• Rational numbers C
• Whole numbers D

If A = {2m/m³= 8 , m€ Z} then A =

• {1,8,27} A
• {4} B
• (2,4,6} C
• {2,16,54} 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