Maths Sets - Online Test

Q1. If aN = { ax : x ∈ N } , then the set 3N ∩ 7N is
Answer : Option A
Explaination / Solution:



Q2. The smallest set A such that A ∪{ 1,2 } = { 1,2,3,5,9 } is
Answer : Option B
Explaination / Solution:

The union of two sets A and B is the set of elements in A, or B, or both. so smallest set A={3,5,9}

Q3. If A and B are sets , then A ∩ ( B – A ) is
Answer : Option C
Explaination / Solution:



Q4. If A = { 0,1,5,4,7 }. Then the total number subsets of A are
Answer : Option D
Explaination / Solution:

in any set having n elements then Total no of subsets=2n

so total subset = 25=32


Q5. If A and B be two sets such that n( A ) = 70 , n ( B ) = 60 , and n ( A ∪ B ) = 110 . Then n ( A ∩ B ) is equal to
Answer : Option D
Explaination / Solution:



Q6. Which set is the subset of all given sets ?
Answer : Option A
Explaination / Solution:

{ } denoted as null set. and Null set is subset of all sets.

Q7. If Q = { x : = 1/y , where y ∈ N } , then
Answer : Option D
Explaination / Solution:

N is set of natural number,so

x = 1/y

when y=1 then x=1

so

Q


Q8. If A = {x : x ≠ x } represents
Answer : Option A
Explaination / Solution:

here value of x is not possible so A is a null set.

Q9. P ( A ) = P ( B ) ⇒⇒
Answer : Option C
Explaination / Solution:



Q10. Which of the following is a set?
Answer : Option A
Explaination / Solution:

The set is{a,e,i,o,u}