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

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction 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 statement that a group can have more than one identity elements is

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

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

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

(A∪B)∪C= --------------------------

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

A = B if

• 
  A
• 
  B
• 
  C
• A is equivalent to B D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• +-1 C
• Does not exist D

The set of real numbers is a subset of

• The set of natural numbers A
• The set of rational numbers B
• The set of integers C
• The set of complex numbers D

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

{1, 2, 3} is _____

• an infinite set A
• A finite set B
• A singleton set C
• Universal set D

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

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

If A ⊆ B then A ∪ B is

• A A
• 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

• 
  A
• 
  B
• 
  C
• 
  D

The contra positive of p → q is

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

The set {Z\{0}} is group w.r.t

• Addition A
• Multiplication B
• Division C
• Subtraction D

• 
  A
• 
  B
• 
  C
• 
  D

If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

• 36 +(-32)i A
• -36+32i B
• 6+(-11)i C
• 0, +(-12)i 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 number of subsets of B = {1,2,3,4,5}

• 10 A
• 32 B
• 16 C
• 5 D

• A A
• B B
• A'B' C
• B'A D

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

The set of integer is

• Finite group A
• A group w.r.t addition B
• A group w.r.t multiplication C
• Not a group D

The set of complex numbers forms a group under the binary operation of

• Addition A
• none of these B
• Division C
• Subtraction 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

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

The multiplicative inverse of x such that x = 0 is

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

The negation of given number is a

• Binary operation A
• Unary operation B
• Relation C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Under multiplication, solution set of is

• Groupoid A
• Abelian group B
• Semi group C
• All of these D