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

A = B if

• 
  A
• 
  B
• 
  C
• A is equivalent to B D

If A is a set then any subset R of A x A is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

Multiplicative inverse of 0 is

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

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

• 40 A
• 30 B
• 50 C
• 20 D

• A A
• B B
• U C
• None of these D

The set { {a, b} } is

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

If 0 = {1,3,5.......}, then n (0) =

• Infinite A
• Even numbers B
• odd integers C
• 99 D

• 
  A
• 
  B
• 
  C
• 
  D

The set R is ______ w.r.t subtraction

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

Z is a group under

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

If there is one-one correspondence between A and B, then we write.

• A = B A
• A⊆ B B
• A⊇ B C
• A ∼ B D

The set of natural numbers is a subset of

• {1, 2, 3, .... 100} A
• The set of whole numbers B
• {2, 4, 6, 8, .....} C
• None of these D

If S = {3,6,9,12.......}, then

• S = Four multiples of 3 A
• S = Set of even numbers B
• S = Set of prime numbers C
• S = All multiples of 3 D

{x : xε Z and x < 1} is

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

• a-b=ab A
• ab=a B
• a+b=ab C
• 
  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 set of the first elements of the orders pairs forming a relation is called its

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

• 
  A
• 
  B
• 
  C
• None of these D

• 1 A
• 12 B
• 5 C
• 29 D

If C={p/p < 18, p is a prime number}, then C =

• {2,3,4,.........17} A
• {2,4,6,8................16} B
• {1,3,5,7,9,11,13,15,17} C
• {3,6,9,12,15} D

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

• 0 A
• 1 B
• 2 C
• 3 D

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

• A≠ C A
• B = C B
• A = B C
• A≠ B D

• 
  A
• 
  B
• 
  C
• 
  D

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

• domain A
• range B
• relation C
• function D

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

• ±1 A
• 0 B
• 2 C
• 4 D

• A A
• B B
• U C
• None of these D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

• 4 A
• 3 B
• 2 C
• 1 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

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

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