ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 2 (Set Function and Groups)

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

• 1 A
• 12 B
• 5 C
• 29 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

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

The function {f(x,y)|y = ax2 +bx +c} is

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

• 
  A
• 
  B
• 
  C
• 
  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

(A ∩ B)c =

• A∩ B A
• (A ∪ B)c B
• Ac∪Bc C
• Φ D

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

• 1-1 and onto A
• Bijective B
• 1-1 and into C
• None of these D

Power set of difference set N-W is

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

(A∪B)∪C= --------------------------

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 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

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

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

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

The set {x|x∈N∧x-4=0} in tabular form is

• {-4} A
• {0} B
• {} C
• None of these D

The set of natural is a semi group w.r.t

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

If E = { } , then P(E)

• ∅ A
• { } B
• {(2),(4),(6)....} C
• (∅) D

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

• 3 A
• 6 B
• 8 C
• 15 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

The set {-1,1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

Φset is the ______ of all sets?

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

• 
  A
• 
  B
• 
  C
• 
  D

The number of subsets of B = {1,2,3,4,5}

• 10 A
• 32 B
• 16 C
• 5 D

If A = {x/x is a positive integer and 4≤x<23}, then A=

• {1,2,3,4,5,6,7} A
• {4,5,6...........22} B
• {1,2,3,.........23} C
• {1,2,3,4,5} D

Given X, Y are many 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