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

The set (Z, +) forms a group

• Forms a group w.r.t addition A
• Forms a group w.r.t multiplication B
• Non commutative group w.r.t multiplication C
• Doesn't form a 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 z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

• 36 +(-32)i A
• -36+32i B
• 6+(-11)i C
• 0, +(-12)i D

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating 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

• A A
• A' B
• U C
• A A' D

The set (Z,+) forms a group

• Forms a group w.r.t addition A
• Non commutative group w.r.t multiplication B
• Forms a group w.r.t multiplication C
• Doesn't form a group D

A statement which is either true or false is called

• Induction A
• Deduction B
• Propositicon C
• Logic D

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

• A A
• A' B
• U C
• None of these D

If A = {2m/m³= 8 , m€ Z} then A =

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

Power set of difference set N-W is

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The set {1,-1, i, -i} form a group under

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

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

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 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

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D

Z is a

• Infinite set A
• Finite set B
• Singleton set C
• Set of all integers 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

{1, 2, 3} is _____

• an infinite set A
• A finite set B
• A singleton set C
• Universal set D

• a-b=ab A
• ab=a B
• a+b=ab C
• 
  D

• a constant function A
• linear function B
• quadratic funtion C
• none of these 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 n(A) = n then n(P(A)) is

• 2n A
• n² B
• n/2 C
• 2ⁿ 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

A function whose range is just one elements is called

• One-one function A
• Constant function B
• Onto function C
• Identity function D