Class 11th Maths – RD Sharma Chapter 1 : Sets Exercise 1.5 Solutions (Step-by-Step Guide)

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Class 11th Maths – RD Sharma Chapter 1 : Sets Exercise 1.5 Solutions

  1. If A and B are two sets such that A ⊂ B, then Find: (i) A ∩ B (ii) A ∪ B Watch Solution
  2. If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Find: (i) A ∪ B (ii) A ∪ C (iii) B ∪ C (iv) B ∪ D (v) A ∪ B ∪ C (vi) A ∪ B ∪ D (vii) B ∪ C ∪ D (viii) A ∩ (B ∪ C) (ix) (A ∩ B) ∩ (B ∩ C) (x) (A ∪ D) ∩ (B ∪ C). Watch Solution
  3. Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n-1, n∈ N} and, D = {x: x is a prime natural number }. Find: (i) A ∩ B (ii) A ∩ C (iii) A ∩ D (iv) B ∩ C (v) B ∩ D (vi) C ∩ D Watch Solution
  4. Let A = {3, 6, 12, 15, 18, 21), B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find: (i) A – B (ii) A – C (iii) A – D (iv) B – A (v) C – A (vi) D – A ((vii) B – C (viii) B – D Watch Solution
  5. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6). Find: (i) A’ (ii) B’ (iii) (A ∩ C)’ (iv) (A ∪ B)’ (v) (A’)’ (vi) (B – C)’ Watch Solution
  6. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that: (i) (A ∪ B)’= A’ ∩ B’ (ii) (A ∩ B)’ = A’ ∪ B’. Watch Solution
  7. If A and B are two sets such that A ⊂ B, then Find : A ∩ B Watch Solution
  8. If A and B are two sets such that A ⊂ B, then Find : A ∪ B Watch Solution
  9. If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Find : A ∪ B Watch Solution
  10. If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Find : A ∪ C Watch Solution
  11. If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Find : B ∪ C Watch Solution
  12. If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Find : B ∪ D Watch Solution
  13. If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Find : A ∪ B ∪ C Watch Solution
  14. Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find : A – B Watch Solution
  15. If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Find : A ∪ B ∪ D Watch Solution
  16. Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find : A – C Watch Solution
  17. Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find : A – D Watch Solution
  18. If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Find : B ∪ C ∪ D Watch Solution
  19. Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find : B – A Watch Solution
  20. Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find : C – A Watch Solution
  21. Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find : D – A Watch Solution
  22. If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Find : A ∩ (B ∪ C) Watch Solution
  23. Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find : B – C Watch Solution
  24. Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find : B – D Watch Solution
  25. If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Find : (A ∩ B) ∩ (B ∩ C) Watch Solution
  26. If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Find : (A ∪ D) ∩ (B ∪ C) Watch Solution
  27. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find : A’ Watch Solution
  28. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find : B’ Watch Solution
  29. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find : (A ∩ C)’ Watch Solution
  30. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find : (A ∪ B)’ Watch Solution
  31. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find : (A’)’ Watch Solution
  32. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find: (B – C)’ Watch Solution
  33. Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n-1, n∈ N} and, D = {x: x is a prime natural number }. Find : A ∩ B Watch Solution
  34. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that: (A ∪ B)’= A’ ∩ B’ Watch Solution
  35. Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n-1, n∈ N} and, D = {x: x is a prime natural number }. Find : A ∩ C Watch Solution
  36. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that : (A ⋂ B)’ = A’ U B’. Watch Solution
  37. Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n-1, n∈ N} and, D = {x: x is a prime natural number }. Find : A ∩ D Watch Solution
  38. Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n-1, n∈ N} and, D = {x: x is a prime natural number }. Find : B ∩ C Watch Solution
  39. Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n-1, n∈ N} and, D = {x: x is a prime natural number }. Find : A ∩ D Watch Solution
  40. Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n-1, n∈ N} and, D = {x: x is a prime natural number }. Find : B ∩ C Watch Solution
  41. Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n-1, n∈ N} and, D = {x: x is a prime natural number }. Find : B ∩ D Watch Solution
  42. Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n-1, n∈ N} and, D = {x: x is a prime natural number }. Find : C ∩ D Watch Solution

 

Chapter 1: Sets – R. D. Sharma Class 11th Maths

  1. Sets Exercise 1.1 Video Solution

  2. Sets Exercise 1.2 Video Solution

  3. Sets Exercise 1.3 Video Solution

  4. Sets Exercise 1.4 Video Solution

  5. Sets Exercise 1.5 Video Solution

  6. Sets Exercise 1.6 Video Solution

  7. Sets Exercise 1.7 Video Solution

  8. Sets Exercise 1.8 Video Solution

  9. Sets Multiple Choice Questions (MCQs) Video Solution Video Solution

  10. Sets Fill in the Blanks (FBQs) Video Solution

  11. Sets Very Short Answer Questions (VSAQs) Video Solution Video Solution

 

 

 

 

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