Sets

The set of intelligent students in a class is
1. A null set
2. A singleton set
3. A finite set
4. Not a well defined collection
Which of the following is the empty set
1. {x:x is a real number and x²−1=0}
2. {x:x is a real number and x²+1=0}
3. {x:x is a real number and x²−9=0}
4. {x:x is a real number and x²=x+2}
The set A={x:x∈R,x²=16 and 2x=6} equals
1. φ
2. {14, 3, 4}
3. {3}
4. {4}
If a set A has n elements, then the total number of subsets of A is
1. n
2. n²
3. 2ⁿ
4. 2n
The number of proper subsets of the set {1, 2, 3} is
1. 8
2. 7
3. 6
4. 5
Given the sets A={1,2,3},B={3,4}, C = {4, 5, 6}, then A∪(B∩C) is
1. {3}
2. {1, 2, 3, 4}
3. {1, 2, 4, 5}
4. {1, 2, 3, 4,5,6}
If A and B are any two sets, then A∪(A∩B)is equal to
1. A
2. B
3. Aⁿ
4. Bⁿ
If A and B are two given sets, then A∩(A∩B)ⁿ is equal to
1. A
2. B
3. φ
4. A∩Bⁿ
Let A=[x:x∈R,|x|<1]; B=[x:x∈R,|x−1|≥1] and A∪B=R−D, then the set D is
1. [x:1<x≤2]
2. [x:1≤x<2]
3. [x:1≤x≤2]
4. None of these
Let n(U)=700,n(A)=200,n(B)=300 and n(A∩B)=100, then n(Aⁱ∩Bⁱ)= [Kurukshetra CEE 1999]
1. 400
2. 600
3. 300
4. 200
In a town of 10,000 families it was found that 40% family buy newspaper A, 20% buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then number of families which buy A only is
1. 3100
2. 3300
3. 2900
4. 1400
In a city 20 percent of the population travels by car, 50 percent travels by bus and 10 percent travels by both car and bus. Then persons travelling by car or bus is
1. 80 percent
2. 40 percent
3. 60 percent
4. 70 percent
If A, B and C are any three sets, then A - (B U C) is equal to
1. (A - B) U (A - C)
2. (A - B) U (A - C)
3. (A - B) U C
4. (A - B) U (A)
If A, B and C are any three sets, then A × (B ∪ C) is equal to
1. (A × B) ∪ (A × C)
2. (A ∪ B) × (A ∪ C)
3. (A × B) ∩ (A × C)
4. None
If A, B and C are non-empty sets, then (A - B) U (B - A) equals
1. (A U B) - B
2. A − (A ∩ B)
3. (A ∪ B) − (A ∩ B)
4. (A ∩ B) ∪ (A∪ B)
If A={2,4,5},B={7,8,9}, then n(A×B) is equal to
1. 6
2. 9
3. 3
4. 0
If A={a,b},B={c,d},C={d,e}, then{(a,c),(a,d),(a,e),(b,c),(b,d),(b,e)} is equal to
1. A ∩ (B ∪ C)
2. A ∪ (B ∩ C)
3. A × (B ∪ C)
4. A × (B ∩ C)
In rule method the null set is represented by
1. {}
2. φ
3. {x:x=x}
4. {x:x≠x}
A={x:x≠x} represents
1. {0}
2. {}
3. {1}
4. {x}
Which set is the subset of all given sets
1. {1, 2, 3, 4,......}
2. {1}
3. {0}
4. {}
Let S={0,1,5,4,7}. Then the total number of subsets of S is
1. 64
2. 32
3. 40
4. 20
The number of non-empty subsets of the set {1, 2, 3, 4} is
1. 15
2. 14
3. 16
4. 17
The smallest set A such that A U {1, 2} = {1, 2, 3, 5, 9} is
1. {2, 3, 5}
2. {3, 5, 9}
3. {1, 2, 5, 9}
4. None
If A ∩ B = B, then
1. A⊂B
2. B⊂A
3. A=φ
4. B=φ
If A and B are two sets, then A∪B=A∩B if
1. A⊆B
2. B⊆A
3. A=B
4. None
Let A and B be two sets. Then
1. A ∪ B ⊆ A ∩ B
2. A ∩B ⊆ A ∪B
3. A ∩ B = A ∪ B
4. None

Sets

Quiz