Mathematics questions
18011 published questions with worked solutions.
- If A= 1,3,5,7,9,11,13,15,17 , B= 2,4,6, ,18 and N is the universal set, then A' ((A B) B') is
- If X= 4^n-3n-1:n N and Y= 9(n-1):n N , then X Y is equal to
- In an office, every employee likes at least one of tea, coffee and milk. The numbers of employees who like only tea, only coffee,...
- Let n( U )=700, n(A)=200, n(B)=300 and n(A B)=100. Then, n(A^c B^c)=
- In rule method the null set is represented by
- If A and B are two sets such that n(A)=7, n(B)=6 and A B , then the greatest possible value of n(A B) is
- If A= 1,2,3,4 , then the number of subsets of A that contain the element 2 but not 3 is
- In a town of 10,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy...
- If A= 1,2,3,4,5,6 , then how many subsets of A contain the elements 2, 3 and 5?
- For any three sets A_1, A_2, A_3, let B_1=A_1, B_2=A_2-A_1 and B_3=A_3-(A_1 A_2). Then which one of the following statements is...
- In a town of 10,000 families, 40% buy newspaper A, 20% buy B, 10% buy C, 5% buy A and B, 3% buy B and C, 4% buy A and C, and 2%...
- Which of the following cannot be the number of elements in the power set of any finite set?
- If A_1,A_2, ,A_ 100 are sets such that n(A_i)=i+2, A_1 A_2 A_3 A_ 100 and _ i=3 ^ 100 A_i=A, then n(A)=
- Let A= (x,y):y=e^x, x R and B= (x,y):y=e^ -x , x R . Then,
- Which of the following is an equivalence relation?
- If R is a relation from a finite set A having m elements to a finite set B having n elements, then the number of relations from A...
- In a set of ants in a locality, each ant moves along a single straight line. Two ants are said to be related iff they walk on the...
- If A and B are two sets such that n(A B )=9, n( A B)=10 and n(A B)=24, then n(A B)=
- Let X= 1,2,3,4,5 and Y= 1,3,5,7,9 . Which of the following is not a relation from X to Y?
- Let R and S be two relations on a set A. Then, which one of the following is not true?