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

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• +-1 C
• 0 D

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

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

• A A
• B B
• U C
• None of these D

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication D

A set having only one element is called

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

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• A B
• A' C
• U D

The set of complex numbers forms a group under the binary operation of

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

Φset is the ______ of all sets?

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

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

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

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

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

Onto function is also called

• Binjective function A
• Injective function B
• Surjechive function C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  D

(A∩Bc)c= -------------------------

• Ac∪Bc A
• Ac∪B B
• Ac∩B C
• None of these D

A monoid (G, *) is said to be group if

• have identity element A
• is commutative B
• have inverse of each element C
• None of these D

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

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

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

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

Multiplicative inverse of 0 is

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

The set Q

• Forms a group under addition A
• Does not form a group B
• Contains no additive indentity C
• Contains no additive inverse D

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

• a constant function A
• linear function B
• quadratic funtion C
• none of these D

Power set of difference set N-W is

• Empty set A
• Infinite set B
• Singleton set C
• {0,∅} D

The set of integer is

• Finite group A
• A group w.r.t addition B
• A group w.r.t multiplication C
• Not a group D

The multiplicative inverse of x such that x = 0 is

• -x A
• does not exist B
• 1/x C
• 0 D

The number of proper subset of A ={a.b.c.d} is

• 3 A
• 6 B
• 8 C
• 15 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 A
• A' B
• U C
• A A' D