Sets | Class 9 | Problem Set 1
Sets | Class 9 | Problem Set 1, examples based on sets and representation of sets using Venn diagrams are solved in this post.
Problem-Set-1In this problem set, we are asked to find whether the sets are finite sets or infinite sets.
Also read : Quadratic Equations | Class 10 | Practice Set 2.3
We are also asked to represent the sets using the Venn diagrams.
We are also asked to find the union of two sets and the intersection of two sets.
There are also problems where we are asked to write the complement of a set.
The questions answered in this post are –
Problem set 1
(1) Choose the correct alternative answer for each of the following questions.
(i) If M = {1, 3, 5}, N = {2, 4, 6}, then M U N = ?
(A) {1, 2, 3, 4, 5, 6} (B) {1, 3, 5} (C) f (D) {2, 4, 6}
(2) How to write this set in roster form?
(A) {1, 3, 5} (B) {1, 2, 3, 4, 5} (C) {1, 3} (D) {3, 5}
(3) P = {1, 2, ………, 10}, What type of set P is ?
(iv) (A) Null set (B) Infinite set (C) Finite set (D) None of these
Also read : Quadratic Equations | Class 10 | Practice Set 2.4
(4) If P is a subset of M, then Which of the following set represent P U (P n M) ?
(A) P (B) M (C) P n M (D) P U M
(5) Which of the following sets are empty sets ?
(A) set of intersecting points of parallel lines (B) set of even prime numbers.
(C) Month of an english calendar having less than 30 days. (D) P = {x | x Î I, -1< x < 1}
Some questions are – Sets problem set 1
(6) 70 trees were planted by Parth and 90 trees were planted by Pradnya on the occasion of
Tree Plantation Week. Out of these; 25 trees were planted by both of them together. How many trees were planted by Parth or Pradnya ?
If n (A) = 20, n (B) = 28 and n (A U B) = 36 then n (A n B) = ?
(7) In a class, 8 students out of 28 have only dog as their pet animal at home, 6 students have only cat as their pet animal. 10 students have dog and cat both, then how many students do not have a dog or cat as their pet animal at home ?
(8) Represent the union of two sets by Venn diagram for each of the following.
(i) A ={3, 4, 5, 7} B ={1, 4, 8} (ii) P = {a, b, c, e, f} Q ={l, m, n , e, b}
(9) X = {x | x is a prime number between 80 and 100}
Y = {y | y is an odd number between 90 and 100 }
(10) Write the subset relations between the following sets
X = set of all quadrilaterals Y = set of all rhombuses
S = set of all squares T = set of all parallelograms
V = set of all rectangles
(11) If M is any set, then write M U fi and M n fi.
(12) Observe the Venn diagram and write the given sets U, A, B, A U B and A n B.
