Class XI Mathematics Worksheet (Sets) - PDF

SUBJECT – MATHEMATICS, CLASS – XI CHAPTER – 1(SETS) WORKSHEET(BASIC) TIME - 45Min MAXIMUM MARKS:20 Choose the correct option: (3× = ) 1. For any set , is equal to (a) (b) (c) ∅ (d) none of these...

SUBJECT – MATHEMATICS, CLASS – XI CHAPTER – 1(SETS) WORKSHEET(BASIC) TIME - 45Min MAXIMUM MARKS:20 Choose the correct option: (3× = ) 1. For any set , is equal to (a) (b) (c) ∅ (d) none of these 2. Let , , be three sets given as = 15, = 22, = 14 ∩ = 11, ∩ = 8, ∩ = 5, ∩ ∩ = 3, then ∪ ∪ equals if , , !" " = 35, (a) 35 (b) 30 (c) 26 (d) 5 3. Let # = $%: %' ( ' ') * + '(+ ! 3 + ℎ 100., / = $%: %' ( '* * + ℎ 20.. Then # + / is (a) 34 (b) 31 (c) 33 (d) 41 Fill in the blanks: (2× = 1) 4. If 2 are two finite sets, then + 2 is equal to _______. 5. Power set of the set = $1, 2. is _________________. Answer the following: (3× = ) 6. Write the following sets in the roaster form. A = {x| x is a positive integer less than 10 and 2x – 1 is an odd number}. 7. Write the following in set builder form. A = {3, 9, 27, 81} 8. If the universal set" = $1, 3, 5, 7, 9, 11, 13, 15, 17., 2 = $1, 3, 7,13,15.then find 2. Short Answer Type questions: (2× 1 = 5) 9. Let A, B, and C be the sets such that ∪ 2 = ∪ 6 ∩2 = ∩ 6. Then show that B=C. 10. For any sets A and B, Show that / ∩ 2 = / ∩/ 2. Long Answer Type - I Questions: (2× 5 = 8) 11. In a survey of 400 students in a school, 100 were listed as taking apple juice. 150 as taking orange juice and 75 were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice. 12. There are 200 individuals with a skin disorder, 120 had been exposed to chemical C1, 50 to chemical C2, and 30 to both chemicals C1 and C2. Find the number of individuals exposed toChemical C1, but not chemical C2, (ii) Chemical C2 but not chemical C1, (iii) Chemical C1 or chemical C2. ………………..  SUBJECT – MATHEMATICS, CLASS – XI CHAPTER – 1(SETS) WORKSHEET(STANDARD) TIME - 45Min MAXIMUM MARKS:20 Choose the correct option: (3× = ) 1. Given two finite sets 2 such that = 115; 2 = 326; − 2 = 47; ℎ ∪ 2 is (a) 373 (b) 165 (c) 370 (d) None of these 2. Given two finite sets 2 such that =3 2 = 6. Then minimum numbers of elements in ∪ 2 is (a) 3 (b) 6 (c) 9 (d) 18 3. If a set A containing 6 elements, then number of non-empty subsets of A is (b) 36 (b) 30 (c) 64 (d) 63 Fill in the blanks: (2× = 1) 4. When = ∅, then the number of elements in / is _______. 5. If 2 are any two sets, then − 2 is equal to ________. Answer the following: (3× = ) 6. Write the following sets in the roaster form. = H = ?@ 7. Write the following in set builder form @ F G H I J K L M E=< , , , , , , , , E F G H I J K L M @N 8. Write the following in interval form {x: x∈ O, −4 ≤ % < 6} Short Answer Type questions: (2× 1 = 5) 9. Show that if ⊂ 2, ℎ 6 − 2 ⊂ 6 −. 10. Assume that / = / 2 , #ℎ B ℎ = 2. Long Answer Type - I Questions: (2× 5 = 8) 11. A college awarded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medals in all the three sports, how many received medals in exactly two of the three sports? 12. In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H & I, 11 read both H and T. 8 read both T & I, 3 read all three newspapers. Find: (i) The number of people who read at least one of the newspapers. (ii) The number of people who read exactly one newspaper. ……………….  SUBJECT – MATHEMATICS, CLASS – XI CHAPTER – 1(SETS) WORKSHEET(ADVANCE) TIME - 5RSTU MAXIMUM MARKS:20 Choose the correct option: (3× = ) 1. Let = $ %, V : V = FW , % ∈ O. and 2 = $ %, V : V = XFW , ∀% ∈ O., then ∩ 2 is (a) Not a set (b) Singleton set (c) Empty Set (d) None of these 2. If = $%: % = 4 + 1, ∀ 2 ≤ ≤ 6., then the number of subsets of are (a) 2F (b) 2G (c) 2I (d) 2J 3. If DZ = $ , ∈ D., then DG ∩ DI is equal to DL (b) DI (c) DG (d) D@I Fill in the blanks: (2× = 1) 4. For all sets 2, − ∩ 2 is equal to __________. 5. If " = $1, 2, 3, 4, 5, 6, 7, 8, 9, 10., = $1, 2, 3, 5., 6 = $2, 3, 4, 8., then 6− is _____________. Answer the following: (3× = ) 6. Write the following sets in the roaster form. N = $%: % H − 5% F + 6 = 0, % ∈ O. 7. Write the following in set builder form. @ @ @ @ F =