NCERT Solutions for Chapter: Sets, Exercise 1: EXERCISE

Out of $100$ students; $15$ passed in English, $12$ passed in Mathematics, $8$ in Science, $6$ in English and Mathematics, $7$ in Mathematics and Science; $4$ in English and Science; $4$ in all the three. Find how many passed in English and Mathematics but not in Science

In a class of $60$ students, $25$ students play cricket and $20$ students play tennis, and $10$ students play both the games. Find the number of students who play neither?

In a survey of$200$ students of a school, it was found that $120$ study Mathematics, $90$ study Physics and $70$ study Chemistry, $40$ study Mathematics and Physics, $30$ study Physics and Chemistry, $50$ study Chemistry and Mathematics and $20$ none of these subjects. Find the number of students who study all the three subjects.

In a group of$50$ students, the number of students studying French, English, Sanskrit were found to be as follows: French$=17$, English$=13$, Sanskrit$=15$, French and English$=9$, English and Sanskrit $=4$, French and Sanskrit$=5$, English, French and Sanskrit$=3$  Find the number of students who study at least one of the three languages

In a group of$50$ students, the number of students studying French, English, Sanskrit were found to be as follows: French$=17$, English$=13$, Sanskrit$=15$, French and English$=9$, English and Sanskrit $=4$, French and Sanskrit$=5$, English, French and Sanskrit$=3$  Find the number of students who study none of the three languages

$Q\cup Z=Q$, where $Q$ is the set of rational numbers and $Z$ is the set of integers. 

Let sets $\mathrm{R}$ and $\mathrm{T}$ be defined as

$R=\{x\in Z|x$ is divisible by $2\}$

$T=\{x\in Z|x$ is divisible by $6\}$. Then $T\subset R$

Given $A=\{0, 1, 2\}, B=\{x\in \mathrm{R}|0\le x\le 2\}$, then $A=B$.