Q7 of 43 Page 11

Let all the students of a class is an Universal set. Let set A be the students who secure 50% or more marks in Maths. Then write the complement of set A.

Let U be the universal set.

Then, U = Set of all students of a class


A = Set of students who secure 50% or more marks in Maths


We know that a set A’ is said to be the complement of the set A if it contains all the elements of the universal set U, which are not in the set A.


∴The complement of set A is:


A’ = Set of all students who do not secure 50% or more marks in Maths


Or A’ = Set of all students who secured less than 50% marks in Maths


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6

Which set of numbers could be the universal set for the sets given below?

i. A = set of multiples of 5,


B = set of multiples of 7.


C = set of multiples of 12

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P = set of integers which multiples of are 4.

T = set of all even square numbers.

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If n(A) = 15, n(A ∪ B) = 29, n (A ∩ B) = 7 then n (B) = ?

 2

In a hostel there are 125 students, out of which 80 drink tea, 60 drink coffee and 20drink tea and coffee both. Find the number of students who do not drink tea or coffee.