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

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

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D

0 is a symbol of

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

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

A set having only one element is called

• An empty set A
• Universal set B
• A singleton set C
• A power set D

The set {{a,b}} is

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

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Φset is the ______ of all sets?

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

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

• 8 A
• 4 B
• 12 C
• 16 D

The set (Q, .)

• Forms a group A
• Does not form a group B
• Contains no additive identity C
• Contains no additive inverse D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

The set of rational numbers is subset of

• The set of natural numbers A
• The set of real numbers B
• The set of integers C
• The set of whole numbers D

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

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

• 4 A
• 3 B
• 2 C
• 1 D

If B⊆ A, then complement of B in A is = -----------------------

• A-B A
• A∩B B
• B-A C
• A∪B 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

The set {{a,b}} is

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

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three 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 subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite 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

• A A
• B B
• A' C
• None of these D

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

• 1 A
• -1 B
• ±1 C
• 0 D
• Does not exist E

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

If A⊆ B, and B is a finite set, then

• n (a) < n(B) A
• n(B)<(A) B
• n(A)≤ n (B) C
• n(A)≥ n(B) 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

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

Which of the following is the subset of all sets?

• 
  A
• 
  B
• 
  C
• 
  D