Class 11

Math

JEE Main Questions

Sets

Find the intersection of each pair of sets of question 1 above.

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Use the Venn diagram to answer the following questions(i) List the elements of $U,E,F,E∪F$ and $E∩F$(ii) Find $n(U),n(E∪F)$ and $n(E∩F)$

If $A$ and $B$ are subsets of a set $X$, then what is $(A∩(X−B))∪B$ equal to

In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?

Let $A={1,2,3,4,5,6}$ and $B={6,7,8}$. Find $A△B$ and draw Venn diagram

Which of the following are examples of the null set?(i) Set of odd natural numbers divisible by $2$(ii) Set of even prime numbers(iii) \left \{ x : x \text { is a natural numbers, x < 5$and$x > 7}\right \}$(iv)$\left \{ y : y \text { is a point common to any two parallel lines}\right \}$$

Draw appropriate Venn diagram for each of the following:(i) $(A∪B)_{′}$, (ii) $A_{′}∩B_{′}$, (iii) $(A∩B)_{′}$, (iv) $A_{′}∪B_{′}$

Directions: in the figure given below, the circle represents young persons, the triangle represents uneducated persons and the rectangle represents employed persons. Study the figure carefully and answer the questions given below: The region which represents educated, employed young persons, is denoted by

In the Venn diagram, $ξ=F∪G∪H$. The shaded region represents