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

Which of the following sets is finite

• The set of natural numbers between 3 and 10 A
• The set of rational numbers between 3 and 10 B
• The set of real numbers between 0 and 1 C
• The set of rational numbers between 0 and 1 D

If A∩B=B, then n(A∩B) is equal to

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

The graph of a quadratic function is

• Circle A
• Ellipse B
• Parabola C
• Hexagon D

The set R is ........w.r.t subtraction

• Not a group A
• A group B
• No conclusion drawn C
• Non commutative group D

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

• 2,2,2 A
• 3,3,3 B
• 2,2,4 C
• 2,3,4 D

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

For any set B, BUB' is

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

The set X is

• Proper Subset of X A
• Not A subset of X B
• Improper Subset of X C
• None of these D

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

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

The geometrical representation of a linear function is

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

• 1/x A
• -x B
• 2x C
• 0.5 x 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

The set {Z\ {0} } is group w.r.t

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

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

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

• 
  A
• 
  B
• 
  C
• 
  D

The set {x|x∈N∧x-4=0} in tabular form is

• {-4} A
• {0} B
• {} C
• None of these 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

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

• 
  A
• 
  B
• 
  C
• 
  D

Under multiplication, solution set of is

• Groupoid A
• Abelian group B
• Semi group C
• All of these D

Φ set is the _______ of all sets

• Subset A
• Union B
• Universal C
• Intersection D

• 
  A
• 
  B
• 
  C
• 
  D

The contra positive of p → q is

• q → p A
• ~q→~q B
• ~p→~q C
• None of these D

P∉ A means

• Pis subset of A A
• Pis an element of A B
• P does not belongs to A C
• A does not element of P D

The set { {a,b} } is

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