Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) If A = {16, 24,28, 32, 36}, B = {8, 16, 24} and C = { 4, 8, 12, 16, 20, 24,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
Answer:_______________ |
| 2) If A = {4, 6,7, 8, 9}, B = {2, 4, 6} and C = { 1, 2, 3, 4, 5, 6,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
Answer:_______________ |
| 3) If A = {12, 18,21, 24, 27}, B = {6, 12, 18} and C = { 3, 6, 9, 12, 15, 18,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
Answer:_______________ |
| 4) If A = {8, 12,14, 16, 18}, B = {4, 8, 12} and C = { 2, 4, 6, 8, 10, 12,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
Answer:_______________ |
| 5) If A = {4, 6,7, 8, 9}, B = {2, 4, 6} and C = { 1, 2, 3, 4, 5, 6,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
Answer:_______________ |
| 6) If A = {12, 18,21, 24, 27}, B = {6, 12, 18} and C = { 3, 6, 9, 12, 15, 18,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
Answer:_______________ |
| 7) If A = {4, 6,7, 8, 9}, B = {2, 4, 6} and C = { 1, 2, 3, 4, 5, 6,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
Answer:_______________ |
| 8) If A = {4, 6,7, 8, 9}, B = {2, 4, 6} and C = { 1, 2, 3, 4, 5, 6,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
Answer:_______________ |
| 9) If A = {8, 12,14, 16, 18}, B = {4, 8, 12} and C = { 2, 4, 6, 8, 10, 12,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
Answer:_______________ |
| 10) If A = {8, 12,14, 16, 18}, B = {4, 8, 12} and C = { 2, 4, 6, 8, 10, 12,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
Answer:_______________ |
| 1) If A = {16, 24,28, 32, 36}, B = {8, 16, 24} and C = { 4, 8, 12, 16, 20, 24,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
SOLUTION 1 : Solution: (i) A ∪ ( B ∩ C) B ∩C = {8,16,24} ∪ { 4, 8, 12, 16, 20, 24} = {8,16,24} A ∪ ( B ∩ C) = {16, 24,28, 32, 36} ∪ {8,16,24} = {8, 16, 24, 28, 32, 36} (ii) A ∪ (B∪C) B ∪ C = { 8,16,24} ∪ {4, 8, 12, 16, 20,24} = { 4, 8, 12, 16, 20, 24} A ∩ (B ∪C ) = { 16, 24, 28, 32, 36 } ∩ { 4, 8, 12, 16, 20, 24} = { 16,24} (iii) /C ) B C = { 4, 8, 12, 16, 20, 24 } { 8, 16, 24 } = { 4, 12, 20 } A /(B /C ) = { 16, 24, 28, 32, 36} { 4, 12, 20 } = { 16, 24, 28, 32, 36 }
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| 2) If A = {4, 6,7, 8, 9}, B = {2, 4, 6} and C = { 1, 2, 3, 4, 5, 6,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
SOLUTION 1 : Solution: (i) A ∪ ( B ∩ C) B ∩C = {2,4,6} ∪ { 1, 2, 3, 4, 5, 6} = {2,4,6} A ∪ ( B ∩ C) = {4, 6,7, 8, 9} ∪ {2,4,6} = {2, 4, 6, 7, 8, 9} (ii) A ∪ (B∪C) B ∪ C = { 2,4,6} ∪ {1, 2, 3, 4, 5,6} = { 1, 2, 3, 4, 5, 6} A ∩ (B ∪C ) = { 4, 6, 7, 8, 9 } ∩ { 1, 2, 3, 4, 5, 6} = { 4,6} (iii) /C ) B C = { 1, 2, 3, 4, 5, 6 } { 2, 4, 6 } = { 1, 3, 5 } A /(B /C ) = { 4, 6, 7, 8, 9} { 1, 3, 5 } = { 4, 6, 7, 8, 9 }
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| 3) If A = {12, 18,21, 24, 27}, B = {6, 12, 18} and C = { 3, 6, 9, 12, 15, 18,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
SOLUTION 1 : Solution: (i) A ∪ ( B ∩ C) B ∩C = {6,12,18} ∪ { 3, 6, 9, 12, 15, 18} = {6,12,18} A ∪ ( B ∩ C) = {12, 18,21, 24, 27} ∪ {6,12,18} = {6, 12, 18, 21, 24, 27} (ii) A ∪ (B∪C) B ∪ C = { 6,12,18} ∪ {3, 6, 9, 12, 15,18} = { 3, 6, 9, 12, 15, 18} A ∩ (B ∪C ) = { 12, 18, 21, 24, 27 } ∩ { 3, 6, 9, 12, 15, 18} = { 12,18} (iii) /C ) B C = { 3, 6, 9, 12, 15, 18 } { 6, 12, 18 } = { 3, 9, 15 } A /(B /C ) = { 12, 18, 21, 24, 27} { 3, 9, 15 } = { 12, 18, 21, 24, 27 }
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| 4) If A = {8, 12,14, 16, 18}, B = {4, 8, 12} and C = { 2, 4, 6, 8, 10, 12,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
SOLUTION 1 : Solution: (i) A ∪ ( B ∩ C) B ∩C = {4,8,12} ∪ { 2, 4, 6, 8, 10, 12} = {4,8,12} A ∪ ( B ∩ C) = {8, 12,14, 16, 18} ∪ {4,8,12} = {4, 8, 12, 14, 16, 18} (ii) A ∪ (B∪C) B ∪ C = { 4,8,12} ∪ {2, 4, 6, 8, 10,12} = { 2, 4, 6, 8, 10, 12} A ∩ (B ∪C ) = { 8, 12, 14, 16, 18 } ∩ { 2, 4, 6, 8, 10, 12} = { 8,12} (iii) /C ) B C = { 2, 4, 6, 8, 10, 12 } { 4, 8, 12 } = { 2, 6, 10 } A /(B /C ) = { 8, 12, 14, 16, 18} { 2, 6, 10 } = { 8, 12, 14, 16, 18 }
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| 5) If A = {4, 6,7, 8, 9}, B = {2, 4, 6} and C = { 1, 2, 3, 4, 5, 6,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
SOLUTION 1 : Solution: (i) A ∪ ( B ∩ C) B ∩C = {2,4,6} ∪ { 1, 2, 3, 4, 5, 6} = {2,4,6} A ∪ ( B ∩ C) = {4, 6,7, 8, 9} ∪ {2,4,6} = {2, 4, 6, 7, 8, 9} (ii) A ∪ (B∪C) B ∪ C = { 2,4,6} ∪ {1, 2, 3, 4, 5,6} = { 1, 2, 3, 4, 5, 6} A ∩ (B ∪C ) = { 4, 6, 7, 8, 9 } ∩ { 1, 2, 3, 4, 5, 6} = { 4,6} (iii) /C ) B C = { 1, 2, 3, 4, 5, 6 } { 2, 4, 6 } = { 1, 3, 5 } A /(B /C ) = { 4, 6, 7, 8, 9} { 1, 3, 5 } = { 4, 6, 7, 8, 9 }
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| 6) If A = {12, 18,21, 24, 27}, B = {6, 12, 18} and C = { 3, 6, 9, 12, 15, 18,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
SOLUTION 1 : Solution: (i) A ∪ ( B ∩ C) B ∩C = {6,12,18} ∪ { 3, 6, 9, 12, 15, 18} = {6,12,18} A ∪ ( B ∩ C) = {12, 18,21, 24, 27} ∪ {6,12,18} = {6, 12, 18, 21, 24, 27} (ii) A ∪ (B∪C) B ∪ C = { 6,12,18} ∪ {3, 6, 9, 12, 15,18} = { 3, 6, 9, 12, 15, 18} A ∩ (B ∪C ) = { 12, 18, 21, 24, 27 } ∩ { 3, 6, 9, 12, 15, 18} = { 12,18} (iii) /C ) B C = { 3, 6, 9, 12, 15, 18 } { 6, 12, 18 } = { 3, 9, 15 } A /(B /C ) = { 12, 18, 21, 24, 27} { 3, 9, 15 } = { 12, 18, 21, 24, 27 }
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| 7) If A = {4, 6,7, 8, 9}, B = {2, 4, 6} and C = { 1, 2, 3, 4, 5, 6,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
SOLUTION 1 : Solution: (i) A ∪ ( B ∩ C) B ∩C = {2,4,6} ∪ { 1, 2, 3, 4, 5, 6} = {2,4,6} A ∪ ( B ∩ C) = {4, 6,7, 8, 9} ∪ {2,4,6} = {2, 4, 6, 7, 8, 9} (ii) A ∪ (B∪C) B ∪ C = { 2,4,6} ∪ {1, 2, 3, 4, 5,6} = { 1, 2, 3, 4, 5, 6} A ∩ (B ∪C ) = { 4, 6, 7, 8, 9 } ∩ { 1, 2, 3, 4, 5, 6} = { 4,6} (iii) /C ) B C = { 1, 2, 3, 4, 5, 6 } { 2, 4, 6 } = { 1, 3, 5 } A /(B /C ) = { 4, 6, 7, 8, 9} { 1, 3, 5 } = { 4, 6, 7, 8, 9 }
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| 8) If A = {4, 6,7, 8, 9}, B = {2, 4, 6} and C = { 1, 2, 3, 4, 5, 6,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
SOLUTION 1 : Solution: (i) A ∪ ( B ∩ C) B ∩C = {2,4,6} ∪ { 1, 2, 3, 4, 5, 6} = {2,4,6} A ∪ ( B ∩ C) = {4, 6,7, 8, 9} ∪ {2,4,6} = {2, 4, 6, 7, 8, 9} (ii) A ∪ (B∪C) B ∪ C = { 2,4,6} ∪ {1, 2, 3, 4, 5,6} = { 1, 2, 3, 4, 5, 6} A ∩ (B ∪C ) = { 4, 6, 7, 8, 9 } ∩ { 1, 2, 3, 4, 5, 6} = { 4,6} (iii) /C ) B C = { 1, 2, 3, 4, 5, 6 } { 2, 4, 6 } = { 1, 3, 5 } A /(B /C ) = { 4, 6, 7, 8, 9} { 1, 3, 5 } = { 4, 6, 7, 8, 9 }
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| 9) If A = {8, 12,14, 16, 18}, B = {4, 8, 12} and C = { 2, 4, 6, 8, 10, 12,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
SOLUTION 1 : Solution: (i) A ∪ ( B ∩ C) B ∩C = {4,8,12} ∪ { 2, 4, 6, 8, 10, 12} = {4,8,12} A ∪ ( B ∩ C) = {8, 12,14, 16, 18} ∪ {4,8,12} = {4, 8, 12, 14, 16, 18} (ii) A ∪ (B∪C) B ∪ C = { 4,8,12} ∪ {2, 4, 6, 8, 10,12} = { 2, 4, 6, 8, 10, 12} A ∩ (B ∪C ) = { 8, 12, 14, 16, 18 } ∩ { 2, 4, 6, 8, 10, 12} = { 8,12} (iii) /C ) B C = { 2, 4, 6, 8, 10, 12 } { 4, 8, 12 } = { 2, 6, 10 } A /(B /C ) = { 8, 12, 14, 16, 18} { 2, 6, 10 } = { 8, 12, 14, 16, 18 }
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| 10) If A = {8, 12,14, 16, 18}, B = {4, 8, 12} and C = { 2, 4, 6, 8, 10, 12,} then find (i) A∪(B ∩ C) (ii) A∪(B∪C) (iii) A\(C\B )
SOLUTION 1 : Solution: (i) A ∪ ( B ∩ C) B ∩C = {4,8,12} ∪ { 2, 4, 6, 8, 10, 12} = {4,8,12} A ∪ ( B ∩ C) = {8, 12,14, 16, 18} ∪ {4,8,12} = {4, 8, 12, 14, 16, 18} (ii) A ∪ (B∪C) B ∪ C = { 4,8,12} ∪ {2, 4, 6, 8, 10,12} = { 2, 4, 6, 8, 10, 12} A ∩ (B ∪C ) = { 8, 12, 14, 16, 18 } ∩ { 2, 4, 6, 8, 10, 12} = { 8,12} (iii) /C ) B C = { 2, 4, 6, 8, 10, 12 } { 4, 8, 12 } = { 2, 6, 10 } A /(B /C ) = { 8, 12, 14, 16, 18} { 2, 6, 10 } = { 8, 12, 14, 16, 18 }
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