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In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even ifthey seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:
(I) Empty set is a subset of any set.
(II) A set is a subset of power set. Conclusion:
(I) Empty set is a power set.
(II) A set is a subset of power set.
Consider the following relation on subsets of the set ? of integers between 1 and 2014. For two distinct subsets U and V of S we say U < V if the minimum element in the symmetric difference of the two sets is in U. Consider the following two statements: S1: There is a subset of S that is larger than every other subset. S2: There is a subset of S that is smaller than every other subset. Which one of the following is CORRECT?
Consider the statements a, b, c and d given below. Which one of the codes contains the correct statements only? 1) Venn diagram is a clear method of notation. 2) To diagram a standard form of a categorical proposition, three overlapping circles are drawn. 3) To test a categorical syllogism, two overlapping circles are drawn. 4) Venn diagram is a method of testing the validity of categorical syllogisms.
Consider the following statements: 1. The null set is a subset of every set. 2. Every set is a subset of itself. 3. If a set has 10 elements, then its power set will have 1024 elements. Which of the above statements are correct?
Let A(1), A(2), A(3),…….., A(100) be 100 sets such that number of elements in A(i)=i+1 and A(1) is subset of A(2), A(2)is subset of A(3),….., A(99) is subset of A(100). The number of elements in union of the all the sets are: n(A(1) U A(2) U A(3) …..U A(100)).
Study the given Venn diagram and answer the question that follows. In the given Venn diagram, which part stands for government employees who are honest, intelligent but NOT hardworking?
In the given Venn diagram, is set A subset of set U?
Select the Venn diagram from the options, having identical areas pointed in the dotted Venn diagram.
A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of the subset of P. A sub-set Q of A is again chosen at random. Find the probability that P and Q have no common elements.
The following Venn diagram gives data regarding the survey of a group of people in the state of Florida. The 'Circle' represents Asian; the 'Triangle' represents Scientists, the 'Rectangle' represents 'Professors' and the 'Quadrilateral' represents 'Africans. The numbers given in the diagram represents the number of that particular category. Based on the given diagram how many Asians are scientists as well as Professors?