Sets-Quiz-13

Sets Quiz-13

Dear Readers,

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. 

•  2
•  3
•  4
•  6

Solution

Q2.Let S={1,2,3,4}. The total number of unordered pairs of disjoint subsets of S is equal to

•  25
•  34
•  42
•  41

Solution

Q3.  Let Z denote the set of all integers and A={(a,b):a²+3b²=28,a,b∈Z} and B={(a,b):a>b,a,b∈Z}. Then, the number of elements in A∩B is

•  2
•  3
•  4
•  6

Solution

Q4. If n(A_i )=i+1 and A₁⊂A₂⊂A₃⊂⋯⊂A₉₉, then n(⋃_(i=1)⁹⁹A_i)=

•  99
•  98
•  100
•  101

Solution

Q5.If A={x∶x is a multiple of 4} and, B={x∶x is a multiple of 6}, then A∩B consists of multiples of

•  16
•  12
•  8
•  4

Solution

Q6.Let R be an equivalence relation on a finite set A having n elements. Then, the number of ordered pairs in R is

•  Less than n
•  Greater than or equal to n
• Less than or equal to n
•  None of these

Solution

Q7.Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n are

•  m=7,n=6
•  m=6,n=3
•  m=5,n=1
•  m=8,n=7

Solution

Q8.Given the relation R={(1,2),(2,3)} on the set A={1,2,3}, the minimum number of ordered pairs which when added to R make it an equivalence relation is

•  5
•  6
•  7
•  8

Solution

Q9.The relation ‘is not equal to’ is defined on R, is

•  Reflexive only
•  Symmetric only
•  Transitive only
•  Equivalence

Solution

Q10. In a class, 70 students wrote two tests viz; test-I and test-II. 50% of the students failed in test-I and 40% of the students in test-II. How many students passed in both tests?

•  21
•  7
•  28
• 14

Solution