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

If A = {2m/m³= 8 , m€ Z} then A =

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

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

• 0 A
• 1 B
• 2 C
• 3 D

For any set B,B∪B' is

• Is set B A
• Set B' B
• Universal set C

Power set of X i.e P(X)..........under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite 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

The set {-1,1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

Which of the following is the subset of all sets?

• 
  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

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

If A and B are two sets then any subset R of B x A is called

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

The extraction of cube root of a given number is a

• Unary Operation A
• Binary Operation B
• Relation C
• None of these D

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

• True A
• False B
• Fallacious C
• Some times true 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

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

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

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 A
• 12 B
• 5 C
• 29 D

A set having only one element is called

• An empty set A
• Universal set B
• A singleton set C
• A power set D

• square root function A
• identity function B
• linear function C
• quadratic function D

If A = {x/x is a positive integer and 4≤x<23}, then A=

• {1,2,3,4,5,6,7} A
• {4,5,6...........22} B
• {1,2,3,.........23} C
• {1,2,3,4,5} 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 A
• A' B
• U C
• A A' D

The set of integers is a subset of

• The set of natural numbers A
• The set of whole numbers B
• The set of prime numbers C
• The set of rational numbers D

Which symbolic notation represent unary operation ?

• - A
• ∨ B
• ∧ C
• ⇔ D

The negation of a number

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

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• B B
• U C
• None of these D

Power set of X i.e P(X) _______ under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite D

For a set A, A∪Ac= ---------------------

• A A
• ∅ B
• Ac C
• U D

If A and B are two sets then intersection of A and B is denoted by

• 
  A
• 
  B
• 
  C
• 
  D