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

If B-A≠φ , then n(B-A) is equal to

• n(a)+n(c) A
• n(c)-n(a) B
• n(a)-n(c) C
• None of these D

Multiplicative inverse of "1" is

• +- 1 A
• 0 B
• 1 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

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

• Addition A
• Multiplication B
• Subtraction C
• Division 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

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

The function whose range consists of just one element is called

• One-One Function A
• Identity Function B
• Onto Function C
• Constant Function D

Φ set is the _______ of all sets

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

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None 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

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

{x : xε Z and x < 1} is

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

• Biconditional A
• Implication B
• Antecedent C
• Hypothesis 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

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

• 5 A
• {-3,-2,-1,0,1,2,3,4,5,6} B
• 8 C
• 9 D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

The contra positive of p → q is

• q → p A
• ~q→~q B
• ~p→~q C
• None of these D

The set { {a,b} } is

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

The graph of a linear function is

• a circle A
• triangle B
• a straight line C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• B B
• U C
• None of these D

The set of all positive even integers is

• Not a group A
• A group w.r.t. subtraction B
• A group w.r.t. division C
• A group w.r.t. multiplication 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

Which conjunction is not true ?

• 
  A
• 
  B
• 
  C
• 
  D

• 4 A
• 3 B
• 2 C
• 1 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

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

The many subset can be formed from the set {a,b,c,d}

• 8 A
• 4 B
• 12 C
• 16 D