All questions of Sets, Relations and Functions for JEE Exam

• a)
  7
• b)
  5
• c)
  6
• d)
  8

• a)
  3
• b)
  10
• c)
  7
• d)
  8

 The Shaded region in the following figure illustrates

• a)
  A ∩ ( B ∪ C)
• b)
  A ∩ B ∩ C
• c)
  A ∪ B ∪ C
• d)
  (A ∩ B) ∪ (A ∩ C)

• a)
  0∈Q
• b)
  1∈Q
• c)
  2∈Q
• d)
  2/3∈Q

• A:

  5

• B:

  {5,10}

• C:

  ϕ

• D:

  {5,10, 15}

The answer is c.

• a)
  {x : x is a multiple of 7, x < 7, x ∈ N}
• b)
  Set of common points of two parallel lines in a plane
• c)
  {x : 6 + 2x > 5x + 3, x ∈ N}
• d)
  Set of smallest whole number

• a)
  Set of all odd numbers
• b)
  Set of all even numbers
• c)
  Set of all integers
• d)
  Set of all prime numbers

• a)
  9, 7
• b)
  1, 3
• c)
  7, 9
• d)
  3, 1

• a)
  A = {x:x is a prime number}
• b)
  A ={x:x is the cube of a natural number}
• c)
  A = {x:x is the square of a natural number}
• d)
  A = {x:x is an even natural number}

• a)
  f + g is even function
• b)
  f – g is an odd function
• c)
  f + g is not defined
• d)
  f + g is an odd function

• A:
  Odd natural numbers divisible by 2
• B:
  The set which contains only zero as its element
• C:
  The set of even prime numbers
• D:
  The set of points common to two intersecting lines

• a)
  {1, 2, 3, 4}
• b)
  {1, 2, 3, 4, 5, 6}
• c)
  {1, 2, 4, 5}
• d)
  {3}

• A:
  8
• B:
  16
• C:
  4
• D:
  6

• a)
  set of all non mathematics teachers
• b)
  set of all language teachers
• c)
  set of all non science teachers
• d)
  Set of all science teachers

• a)
  43
• b)
  58
• c)
  28
• d)
  39

• a)
  pq
• b)
  3^pq
• c)
  2^pq
• d)
  (pq)²

• a)
  {(1, 3), (1, 6), (3, 1) {(3, 6), (6, 1), (6, 3)}
• b)
  {(1, 1), (1, 3), (1, 6), {(3, 1), (3, 3), (3, 6), {(6, 1), (6, 3), (6, 6)}
• c)
  {(1, 4), (1, 8), (3, 4), {(3, 8), (6, 4), (6, 8)}
• d)
  {(1, 1), (3, 3), (6, 6)}

• A:

  {3}

• B:

  f

• C:

  {-3, 3}

• D:

  {-3}

The answer is c.

• a)
    Difference of B and A
• b)
    Difference of A and B of B and A
• c)
    None of the above
• d)
    Both a and b

Given  1 and B = {0, 1, 2, 3, 4, 5, 6} then A x B is

• a)
  { (1, 6), (1, 7), (2, 5), (2, 6), (2, 7)}
• b)
  Φ
• c)
  {(3, 5), (3, 6), (4, 5), (4, 6)}
• d)
  Infinite

• a)
  If R is a relation from A to B, then domain of R is a subset of A and range of R is a subset of B.
• b)
  If A = {1, 2, 3, 4} and B = {5, 6}, then the number of relations from A to B is 256.
• c)
  A subset of A × B is called a relation from the set A to set B.
• d)
  If A = {x, y, z} and B = {1, 2} then the number of relations from A to B is 2².

• a)
  {1,3,5,7,9}
• b)
  {1,3,5,7}
• c)
  {1,3,5,6,9}
• d)
  {1,3,5,8,9}

• a)
  one-one and onto
• b)
  many-one and into 
• c)
  many-one and onto
• d)
  one-one and into

• a)
  (2, 4) ∈ R
• b)
  (9, 5) ∈ R
• c)
  (4, 2) ∈ R
• d)
  (3, 9) ∈ R

• a)
  A and C
• b)
  A and B
• c)
  B and D
• d)
  B and C

• a)
  {3,5,7,9}
• b)
  {0,1,3,5,7,9}
• c)
  {0,2,4,6,8,10,11}
• d)
  {1,3,5,7}

• a)
  Set of roots of the equation x² – 25 = 0
• b)
  Set of natural numbers
• c)
  The set of lines parallel to y – axis
• d)
  The set of numbers which are multiples of 5

• a)
  A B’
• b)
  A ∪ B’
• c)
  B’
• d)
  B – A

• a)
  If a set has only one element, we call it a singleton set.
• b)
  Set of all even prime numbers is a subset of set of all natural numbers.
• c)
  Φ is not a subset of any set.
• d)
  Every set is a subset of itself.

• a)
  12
• b)
  32
• c)
  24
• d)
  64

• a)
  3²
• b)
  2³
• c)
  2³
• d)
  2⁶

• a)
  3⁹
• b)
  16
• c)
  18
• d)
  3⁶

• a)
  An Equivalence Relation
• b)
  Only Reflexive
• c)
  Symmetric and reflexive.
• d)
  Only Transitive

• A:

  0

• B:

  5

• C:

  1

• D:

  4

The answer is a.

• a)
  {(1, 1), (2, 2), (3, 3), (4, 4) (5, 5), (6, 6), (7, 7)}
• b)
  {(1, 1), (2, 5), (3, 9), (4, 15) (5, 25), (6, 36), (7, 49)}
• c)
  {(1, 1), (4, 4), (9, 9), (16, 16) (25, 25), (36, 36), (49, 49)}
• d)
  {(1, 1), (4, 2), (9, 3), (16, 4) (25, 5), (36, 6), (49, 7)}

• a)
  set of all equilateral triangles
• b)
  set of all triangles which have all three angles different
• c)
  set of all isosceles triangles
• d)
  set of all triangles which do not have one right angle

• a)
  {}
• b)
  {x: x ≠ x}
• c)
  {x : x = x}
• d)
  φ

• a)
  3
• b)
  4
• c)
  5
• d)
  7

If

                                              =                                            22 then x and y =

• a)
  x=3,y=1
• b)
  x = 3, y=6
• c)
  x=1 ,y=2
• d)
  
  x = 2, y = 1

• a)
  {1,2, 3, 5, 7, 8, 9, 10}
• b)
  {1, 3, 5, 7, 8, 9, 10}
• c)
  {1, 5, 7, 9}
• d)
  {1,2, 3, …,10}

• a)
  a one-one function
• b)
  a bijective function
• c)
  a many-one function
• d)
  a many-one and onto function

• a)
  A line lying in first and third quadrant
• b)
  A straight line
• c)
  Symmetrical with respect to y – axis
• d)
  A pair of parallel lines

• a)
  {3, 6, 15, 18, 21}
• b)
  Φ
• c)
  {3, 15, 18, 21}
• d)
  {3, 6, 12, 18, 21}

• a)
  Associative
• b)
  Commutative but not associative
• c)
  Commutative and associative
• d)
  Commutative

• a)
  
• b)
  
• c)
  
• d)