## Sets Quiz-3

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. In a class of 45 students, 22 can speak Hindi and 12 can speak English only. The number of students, who can speak both Hindi and English, is
•  9
•  11
•  23
•  17
Solution
Q2.If sets A and B are defined as A={(x,y):y=1/x,0≠x∈R}, B={(x,y):y=-x,x∈R}, then
•  A∩B=A
•  A∩B=B
•  A∩B=Ï•
•  None of these
Solution
Q3.  If S is a set with 10 elements and A={(x,y):x,y∈S,x≠y}, then the number of elements in A is
•  100
•  90
•  50
•  45
Solution

Q4. Which of the following cannot be the number of elements in the power set of any finite set?
•  26
•  32
•  8
•  16
Solution
Q5.A and B are any two non-empty sets and A is proper subset of B. If n(A)=5, then find the minimum possible value of n(A∆B)
•  Is 1
•  Is 5
•  Cannot be determined
•  None of these
Solution
Q6. If A={1,2,3}, then the relation R={(1,1),(2,2),(3,1),(1,3)} is
•  Reflexive
•  Symmetric
• Transitive
•  Equivalence
Solution

Q7.Let R be a reflexive relation on a set A and I be the identity relation on A. Then,
•  R⊂I
•  I⊂R
•  R=I
•  None of these
Solution
b) I⊂R

Q8.Let A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A∪B?
•  3
•  6
•  9
•  18
Solution
Q9.If A={(x,y):y^2=x;x,y∈R} and B={(x,y):y=|x|;x,y∈R}, then
•  A∩B=Ï•
•  A∩B is a singleton set
•  A∩B contains two elements only
•  A∩B contains three elements only
Solution
Q10. If A={(x,y):x^2+y^2=4; x,y∈R} and B={(x,y):x^2+y^2=9;x,y∈R}, then
•  A-B=Ï•
•  B-A=B
•  A∩B≠Ï•
• A∩B=A
Solution

#### Written by: AUTHORNAME

AUTHORDESCRIPTION

## Want to know more

Please fill in the details below:

## Latest NEET Articles\$type=three\$c=3\$author=hide\$comment=hide\$rm=hide\$date=hide\$snippet=hide

Name

ltr
item
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING: Sets-Quiz-3
Sets-Quiz-3