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

Decimal part of irrational number is

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

The set {1, -1, i, -i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

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

• 1 A
• -1 B
• 0 C
• Does not exist D

To each element of a group there corresponds ............. inverse element

• Two A
• One B
• No C
• Three D

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 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 geometrical representation of a linear function is

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

For any set B, BUB' is

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  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

The multiplicative inverse of x such that x = 0 is

• -x A
• Does not exist B
• 1/x C
• ±1 D

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

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

• A finite set A
• An infinite set B
• An empty set C
• None of these D

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

if A = (x/x€ Q˄ 0 < x < 1}, the A is

• Infinite set A
• Finite set B
• Set of rational numbers C
• Set of real numbers D

The multiplicative inverse of x such that x = 0 is

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

• A A
• B B
• A' C
• None of these 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

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

The total number of subsets that can be formed out of the set {a, b, c} is

• 1 A
• 4 B
• 8 C
• 12 D

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

• A = C A
• A = B B
• B = C C
• None of these D

• An empty set A
• Universal set B
• A singleton set C
• None of these D

Φset is the ______ of all sets?

• Subset A
• Union B
• Universal C
• Intersection 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

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects 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

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D