Sets and Relation questions
385 published questions with worked solutions.
- If n(A B)=5, n(A C)=7 and n(A B C)=3, then the minimum possible value of n(B C) is
- A and B are any two non-empty sets and A is a proper subset of B. If n(A)=5, then the minimum possible value of n(A B)
- Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets...
- If X and Y are two sets, then X (Y X)' equals
- If n(A_i)=i+1 and A_1 A_2 A_3 A_ 99 , then n ( _ i=1 ^ 99 A_i )=
- Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both...
- If aN= ax:x N and bN cN=dN, where b,c N, then
- Let A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A B?
- In a class, 70 students wrote two tests, Test-I and Test-II. 50% of the students failed in Test-I and 40% of the students failed...
- If P is the set of all parallelograms and T is the set of all trapeziums (a trapezium being a quadrilateral with at least one...
- If A_n denotes the set of the first n prime numbers, then _ n=3 ^ 10 A_n=
- If A, B and C are three non-empty sets such that A and B are disjoint and the number of elements contained in A is equal to the...
- If aN= ax:x N and bN cN=dN, where b,c N are relatively prime, then
- If A, B and C are three non-empty sets such that any two of them are disjoint, then (A B C) (A B C)=
- If n(U)=100, n(A)=50, n(B)=20 and n(A B)=10, then n (A B)^c =
- In a rehabilitation programme, a group of 50 families were assured new houses and compensation by the government. The number of...
- If A= 1,2,3,4 , then the number of subsets of set A containing the element 3 is
- If A_n is the set of the first n prime numbers, then _ n=2 ^ 10 A_n=
- Let A_1,A_2,A_3, ,A_ 100 be 100 sets such that n(A_i)=i+1 and A_1 A_2 A_3 A_ 100 . Then _ i=1 ^ 100 A_i contains ... elements.
- In a class of 45 students, every student speaks Hindi or English. 22 students speak Hindi only and 12 students speak English...
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