Sets-Quiz-15

Sets Quiz-15

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. If X={4ⁿ-3n-1∶n∈N} and Y={9(n-1):n∈N}, then X∪Y is equal to

•  X
•  Y
•  N
•  None of these

Solution

Q2.If A={a,b,c,l,m,n}, then the maximum number of elements in any relation on A is

•  12
•  16
•  32
•  36

Solution

Q3.  Let R be a relation on the set N of natural numbers defined by nRm⇔n is a factor of m(i.e. n ┤| m). Then, R is

•  Reflexive and symmetric
•  Transitive and symmetric
•  Equivalence
•  Reflexive, transitive but not symmetric

Solution

Q4. If n(A∩B)=5,n(A∩C)=7 and n(A∩B∩C)=3, then the minimum possible value of n(B∩C) is

•  0
•  1
•  3
•  2

Solution

Q5.If A={1,2,3,4,5,6}, then how many subsets of A contain the elements 2,3 and 5?

•  4
•  8
•  16
•  32

Solution

Q6.If relation R is defined as : aRb if "a is the father of b". Then, R is

•  Reflexive
•  Symmetric
• Transitive
•  None of these

Solution

Q7.If a set A contains n elements, then which of the following cannot be the number of reflexive relations on the set A?

•  2ⁿ
•  2^n-1
•  2^n2-1
•  2ⁿ⁺¹

Solution

Q8.If A is a non-empty set, then which of the following is false? p∶ There is at least one reflexive relation on A q∶ There is at least one symmetric relation on A

•  p alone
•  q alone
•  Both p and q
•  Neither p nor q

Solution

Q9.Two finite sets have m and n elements. The number of elements in the power set of first set is 48 more than the total number of elements in the power set of the second set. Then, the value of M and N are

•  7, 6
•  6, 3
•  6, 4
•  7, 4

Solution

Q10. In a certain town 25% families own a cell phone, 15% families own a scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is

•  10000
•  20000
•  30000
• 40000

Solution