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

• 
  A
• 
  B
• 
  C
• 
  D

A - B = ______

• 
  A
• 
  B
• 
  C
• 
  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

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

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

Every set is an improper subset of

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

The set of even prime numbers is

• (2,4,6,8,10} A
• {2,4,6,8,10,12} B
• {1,3,5,7,9} C
• {2} D

A statement which is either true or false is called

• Induction A
• Deduction B
• Propositicon C
• Logic 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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  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

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

Identity w.r.t intersection in a power set of any set is

• ∅ A
• Set itself B
• Singleton set C
• {0} 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

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 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 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

P∉ A means

• Pis subset of A A
• Pis an element of A B
• P does not belongs to A C
• A does not element of P D

• 
  A
• 
  B
• 
  C
• None of these D

0 is a symbol of

• singleton set A
• Empty set B
• Equivalent set C
• Infinite set D

If A∩B=B, then n(A∩B) is equal to

• n(a) A
• n(a)+n(c) B
• n(c) 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

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 sets {1, 2, 4} and {4, 6, 8, 10} are

• Equal sets A
• Equivalent sets B
• Disjoint sets C
• Over lapping sets D

(A∪B)∪C= --------------------------

• A∩B(B∪C) A
• A∪(B∪C) B
• A∪(B∩C) C
• None of these 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
• -1-a C
• None of these D