## Sets Quiz-7

Mathematics is an important subject in JEE ADVANCED and other engineering exams. In any engineering enterance exam, Mathematics carries weightage of 33% of questions. In mathematics a set is a collection of distinct elements. The elements that make up a set can be letters, numbers, points in space, lines, other geometrical shapes, variables, or even other sets. Two sets are equal if and only if they have precisely the same elements. With focused practice good marks can be fetched from this section. These questions are very important in achieving your success in JEE and Other Engineering Exams.

Q1. Let A1,A2,A3…,A100 be 100 sets such that n(Ai )=i+1 and A1⊂A2⊂A3⊂⋯⊂A100, then ⋃(i=1)100Ai contains… elements
•  99
•  100
•  101
•  102
Solution
Q2.A class has 175 students. The following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Hoe many students have offered Mathematics alone?
•  35
•  48
•  60
•  22
Solution
Q3.  If A and B are two sets, then A-(A-B) is equal to
•  B
•  A∪B
•  A∩B
•  B-A
Solution

Q4. If A={(x,y) ∶y=4/x,x≠0} and B={(x,y):x2+y2=8,x,y∈R}, then
•  A∩B=Ï•
•  A∩B contains one point only
•  A∩B contains two points only
•  A∩B contains 4 points only
Solution
Q5.If n(u)=100,n(A)=50,n(B)=20 and n(A∩B)=10, then n{(A∪B)c }
•  60
•  30
•  40
•  20
Solution
Q6.The relation R={(1,3),(3,5)} is defined on the set with minimum number of elements of natural numbers. The minimum number of elements to be included in R so that R is an equivalence relation, is
•  5
•  6
• 7
•  8
Solution

Q7.Let A={(x,y):y=ex,x∈R}, B={(x,y):y=e-x,x∈R}. Then,
•  A∩B=Ï•
•  A∩B≠Ï•
•  A∪B=R2
•  None of these
Solution

Q8.The value of (A∪B∪C)∩(A∩BC∩CC)C∩CC is
•  B∩CC
•  BC∩CC
•  B∩C
•  A∩B∩C
Solution
Q9.The relation “is a factor of” on the set N of all natural numbers is not
•  Reflexive
•  Symmetric
•  Antisymetric
•  Transitive
Solution
Q10. If A and B are two sets such that n(A)=7,n(B)=6 and (A∩B)≠Ï•. Then the greatest possible value of n(A Î” B), is
•  11
•  12
•  13
• 10
Solution

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