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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

The set (Q, .)

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

Every set is an improper subset of

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

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The set {1, -1, 1, -1}, form a group under

• Addition A
• Multiplication B
• Subtraction C
• None D

• 
  A
• 
  B
• 
  C
• none of these D

The set {1,-1, i, -i} form a group under

• Addition A
• Multiplication B
• Subtraction C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

A statement which is either true or false is called

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

• A A
• A' B
• U C
• None of these D

The set of natural numbers is a subset of

• {1, 2, 3, .... 100} A
• The set of whole numbers B
• {2, 4, 6, 8, .....} C
• None of these D

If there is one-one correspondence between A and B, then we write.

• A = B A
• A⊆ B B
• A⊇ B C
• A ∼ B 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

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

The set of first elements of the ordered pairs in a relation is called its

• domain A
• range B
• relation C
• function D

• A A
• A' B
• U C
• U' D

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

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

The extraction of cube root of a given number is a

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

The geometrical representation of a linear function is

• Circle A
• Parabola B
• Straight lie C
• None of these D

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

• 45 A
• 30 B
• 25 C
• 50 D

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

The negation of a number

• a relation A
• a function B
• unary operation C
• binary operation D

The set of integers is a subset of

• The set of natural numbers A
• The set of whole numbers B
• The set of prime numbers C
• The set of rational numbers D

To each element of a group there corresponds ............. inverse element

• Two A
• One B
• No C
• Three D

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

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects D

If n(A) = n then n(P(A)) is

• 2n A
• n² B
• n/2 C
• 2ⁿ D

The set {-1,1} is closed under the binary operation of

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