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

A statement which is either true or false is called

• Induction A
• Deduction B
• Propositicon C
• Logic D

Z is a

• Infinite set A
• Finite set B
• Singleton set C
• Set of all integers D

If C={p/p < 18, p is a prime number}, then C =

• {2,3,4,.........17} A
• {2,4,6,8................16} B
• {1,3,5,7,9,11,13,15,17} C
• {3,6,9,12,15} D

The multiplicative inverse of x such that x = 0 is

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

A function whose range is just one elements is called

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

• Natural numbers A
• Whole numbers B
• Integers C
• Rational numbers D

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

• 10 A
• 32 B
• 16 C
• 5 D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of x such that x = 0 is

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

• 
  A
• 
  B
• 
  C
• 
  D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B 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

If p and q are two statements then their conjunction is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

Every subset of a finite set is

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is the definition of singleton

• The objects in a set A
• A set having no element B
• A set having no subset C
• None of these D

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication 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

The contra positive of p → q is

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

• Biconditional A
• Implication B
• Antecedent C
• Hypothesis D

• 1 A
• 12 B
• 5 C
• 29 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

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

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} 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

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

If the intersection of two sets is non-empty, but either is a subset of other are called

• Disjoint sets A
• Over lapping B
• Equal sets C
• None of these D

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 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 number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D