Let S be a set of all distinct numbers of the form p/q , where p, q ε {1,2,3,4,5,6}. What is the cardinality of set S?
Consider the following statements in respect of sets:
- The union over intersection of sets is distributive.
- The complement of union of two sets is equal to intersection of their complements.
- If the difference of two sets is equal to empty set, then the two sets must be equal.
Which of the above statements are correct?
If A = (x : x is a multiple of 2}, B = (x : x is a multiple of 5} and C= {x : x is a multiple of 10}, then A ∩ (B ∩ C) is equal to
Let S = {2, 4, 6, 8, ………………..20}. What is the maximum number of subsets does S have?
A survey of 850 students in a university yield that 680 students like music and 215 like dance. What is the least number of students who like both music and dance?
If A= {x : 0 ≤ x ≤ 2} and B = {y; y is a prime number}, then what is A ∩ B equal to ?
Suppose set A consists of first 250 natural numbers that are multiples of 3 and set B consists of first 200 even natural numbers. How many elements does A ∪ B have
Consider the following statements :
- A = (1, 3, 5) and B = {2, 4, 7} are equivalent sets.
- A = (1, 5, 9) and B = (1, 5, 5, 9, 9) are equal sets.
Which of the above statements is / are correct?
