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Sets | Set Theory and types of Sets

Which of the following is an empty set?
In the figure given below, the shaded region is:
In class of 105 students out of three subjects Maths, Physics, Chemistry each student studies at least one subject. In Maths 47, in Physics 50, and in Chemistry 52 students studies, 16 in Maths and Physics, 17 in Maths and Chemistry and 16 in Physics and Chemistry students both subjects. What will be the number of those students who study only two subjects?
In class of 105 students out of three subjects Maths, Physics, Chemistry each student studies at least one subject. In Maths 47, in Physics 50, and in Chemistry 52 students studies, 16 in Maths and Physics, 17 in Maths and Chemistry and 16 in Physics and Chemistry students both subjects. What will be the number of students who studies all three subjects?
A Survey shows that 63% of the americans like cheese whereas 76% like apples. if x% of the americans like both cheese and apples, that we have 
Consider three sets X, Y and Z having 6, 5 and 4 elements respectively. All these 15 elements are distinct. Let S = (X - Y) ∪ Z. How many proper subsets does S have?
In a group of 300 people, 150 speak Hindi and 200 can speak English. How many can speak both Hindi and English?
What is the subset of n elements set?
If A = {1, 3, 5, 7}, then what is the cardinality of the power set P(A)?
In a survey of 1,000 consumers it is found that 720 consumers liked product A and 450 liked product B. What is the least number that must have liked both the products?
In every (n + 1) - - elementic subset of the set (1, 2, 3, .......2n) which of the following is correct:
If A = {1, 3, 4} and B = {x : x ∈ R and x2 - 7x + 12 = 0} then which of the following is true ?
If P, Q and R are three sets, then which of the following is correct?
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?
Consider the following statements: 1. A = {1, 3, 5} and B = {2, 4, 7} are equivalent sets. 2. A = {1, 5, 9} and B = {1, 5, 5, 9, 9} are equal sets. Which of the above statements is/are correct?
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