Set Theory Questions

In a class of $40$ students, $15$ students play cricket and $15$ students play tennis, and $5$ students play both the games. Then the number of students who play neither of the two games is :

Based on a survey of $200$ students, $140$ students like cold drinks, $120$ students like milkshakes, and $80$ students like both. How many students like at least one of the drinks?

If $A$ and $B$ are two sets such that number of elements in $A$ is $20$, number of elements in $B$ is $18$ and number of elements in both $A$ and $B$ is $10$, find $n(A\cup B)$.

Study the diagram given below and answer the question that follows.What number of students have sketch colours, crayons as well as pencil colours?(Assume a Venn diagram with intersecting regions where the central common intersection region of all three shapes equals 5).

If in a group of people, $40$ like tea, $30$ like coffee, and $20$ like both tea and coffee, how many people like only tea?

Out of the $600$ guests invited to the New Year's party, $250$ opted for Indian food, $175$ had Italian food, and $100$ had Continental food. Additionally, $15$ guests had both Indian and Italian food, $10$ had both Italian and Continental food, and $20$ had both Indian and Continental food. Seven guests had all three types of food. How many guests did not attend the party?

In a survey of $1000$ people, $600$ have visited Delhi, $450$ have visited Mumbai and $250$ have visited both cities. What is the ratio of the number of people who visited only Delhi to those who visited only Mumbai?