Sets Test - 17...

A survey was carried out to find out the types of shampoo that a group of $$150$$ women have tried. It was found that $$84$$ women have used brand A shampoo, $$93$$ have used brand B, and $$69$$ have used brand C of these women, $$45$$ have tried brands A and B, $$25$$ have tried brands A and C and $$40$$ have tried brand B and C. Determine the number of women who have tried (a) all three brands, (b) only brand A

If $$A = \left \{1, 2, 3, 4\right \}$$, what is the number of subsets of A with at least three elements?

The set of integers is closed with respect to which one of the following?

In a survey, it was fond that $$65$$% of the people watched news on TV, $$40$$% read in newspaper, $$25$$% read newspaper and watched TV. What percentage of people neither watched TV nor read newspaper?

In the Venn diagram, the numbers represent the number of elements in the subsets. Given that $$\xi = F\cup G\cup H$$ and $$n(\xi) = 42$$, find $$n(G'\cup H)$$

How many of these students are taking physics?

Which one of the following is incorrect?

The number of elements of the set $$\left \{ x:x\in Z,x^{2}=1 \right \}$$ is :

Upper limit of class $$'41 - 50'$$ is __________.

If $$A \subset B$$, then $$A \cap B$$ is