Which of the following is example of empty set?
  • {x : x2 =x and x is a real number}
  • None of these
  • {x : x is a point common to any two parallel lines}
  • {x : x2 - 5 =0 and x is a real number}
if A = { 1,2,3,4,5} and B ={2,3,4,5} then which of below is false
  • B -A ={1}
  • A ∪ B ={1,2,3,4,5}
  • A - B ={1}
  • A ∩ B=2,3,4,5}
If A and B are two sets, then A ∩ (A ∪ B) equals
  • A
  • φ
  • B
  • A ∩ B
if P = {x : x ∈  R, x   < 10}  and Q = {x : x ∈  R, x   > 11 }  , then P∩ Q is
  • [10,11]
  • [10,11)
  • [0,11]
  • (10,11)
If A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }, then which of the following is incorrect
  • A ∩ B={2,4,6}
  • A – B ={1,2,3,4,5,6}
  • A ∪ B={1,2,3,4,5,6,8}
  • B – A = {8}
From 50 students taking examinations in Mathematics, Physics and Chemistry, each of the student has passed in at least one of the subjects, 37 passed Mathematics, 24 Physics and 43 Chemistry. At most 19 passed Mathematics and Physics, at most 29 Mathematics and Chemistry and at most 20 Physics and Chemistry. What is the largest possible number that could have passed all three examination?
  • 13
  • 11
  • 14
  • 10
if n(A) = 11 and n(B) =4, then which of the following is wrong
  • n(A U B) ≥ 11
  • None of these
  • n(A ∩ B) ≤ 4
  • n(A U B) ≤ 15
If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then
  • X = Y
  • X ∩ Y = φ
  • Y ⊂ X
  • X ⊂ Y
Which of these is a empty set
  • X ∩ Xc
  • X ∪ Xc
  • X ∩ X
  • X ∪ X
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively,
  • 8, 4
  • 4, 7
  • 7, 4
  • 9, 7
which of these is a finite set
  • set of positive integers greater than 35
  • set of integers
  • set of even prime numbers
  • Set of lines which are parallel to the x-axis
which is of the following is a singleton set?
  • {x : x ∈ N, x2 =16}
  • {x : x ∈ Z, |x| =4}
  • {x : x ∈ R, |x-1| = 4}
  • {x : x ∈ Z, x2 =25}
If A and B are two sets, then  (A ∪ B) – A equals
  • B - A
  • A
  • B
  • A ∩ B
Let A = { {1,2,3} , {3,4}, {6,7,8,9} } . Which of the following is true
  • {1,2,3} ⊂ A
  • {6,7,8,9} ∈ A
  • 6 ∈ A
  • {3,4} ⊂ A
if n(A) = 12 , n(B) =5 and n(A ∩ B) =3, then n(A -B) is
  • 5
  • 8
  • 3
  • 9
A ⊂ B,  C is one more set . which is incorrect
  • None of these
  • A ∩ B = A
  • A ∪ B = B
  • A ∩ C ⊂ B ∩ C
A survey shows that 53% of the people likes Maths  whereas 71% likes physics. If x% of the people likes both subjects, then
  • 24 ≤ x ≤ 53
  • x = 18
  • x = 24
  • x = 53
(A’)’ = ?
  • A’
  • ∪
  • A
  • ∪ – A
0 h : 0 m : 1 s

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