1). If \( \Large A=\{ 1, 3, 5, 7 \},\ B=\{ 1, 2, 4, 6, 8 \},\ C=\{ 1, 3, 6, 8 \} \) then finr \( \Large A\cap \left(B\cup C\right) \) and \( \Large \left(A\cap B\right)\cup \left(A\cap C\right) \)
| A). \( \Large \{ 1, 3 \} \) |
| B). \( \Large \{ 3, 5 \} \) |
| C). \( \Large \{ 6, 8 \} \) |
| D). None of these |
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2). If \( \Large E=\{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \}; \) \( \Large A=\{ 1, 3, 5, 7 \},\ B=\{ 2, 4, 6, 8 \} \) then find the value of \( \Large \left(A\cup B\right)' \) and \( \Large A'\cap B' \)
| A). \( \Large \{ 6 \} \) |
| B). \( \Large \{ 9 \} \) |
| C). \( \Large \{ \} \) |
| D). None of these |
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3). If \( \Large A=\{ 1, 2, 3, 4 \},\ B=\{ 3, 4, 5, 6 \},\ C=\{ 6, 7, 8, 9 \} \) then find the set \( \Large A\cap \left(B\cup C\right) \)
| A). \( \Large \{ 1, 2 \} \) |
| B). \( \Large \{ 2, 3 \} \) |
| C). \( \Large \{ 3, 4 \} \) |
| D). \( \Large \{ 6, 7 \} \) |
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4). \( \Large A=\{ 1, 2, 3, 4 \},\ B=\{ 3, 4, 5, 6 \},\ C=\{ 6, 7, 8, 9 \} \) then find the set \( \Large A- \left(B\cup C\right)\ and\ \left(A-B\right)\cap \left(A-C\right) \)
| A). \( \Large \{ 1, 2 \} \) |
| B). \( \Large \{ 3, 4 \} \) |
| C). \( \Large \{ 6, 7 \} \) |
| D). \( \Large \{ 8, 9 \} \) |
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5). \( \Large A=\{ 4, 9, 16, 25, 36 \},\ B=\{ 9, 25, 49, 81 \},\ C=\{ 16, 81, 256 \} \) then find \( \Large A- \left(B\cap C\right) \)
| A). \( \Large \{ 81 \} \) |
| B). \( \Large \{ 4, 9, 16, 25, 36 \} \) |
| C). \( \Large \{ 4, 36 \} \) |
| D). \( \Large \{ 4, 16, 36 \} \) |
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6). If \( \Large n \left(A\right)=6, n \left(B\right)=5, n \left(A\cap B\right)=3 \) then find \( \Large n \left(A\cup B\right) \)
| A). 11 |
| B). 9 |
| C). 8 |
| D). None of these |
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7). lf \( \Large A=\{ 1, 2, 3, 4, 5, 6 \},\ B=\{ 4, 5, 6 \} \), then \( \Large n \left(A\cap B\right) \)
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8). If \( \Large n \left(p \left(A\right)=16 \right) \) then what is the value of \( \Large n \left(A\right) \)
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9). If \( \Large A=\{ 4, 5, 6, 7, 8, 9, 10 \},\ A\cap B=\{ 6, 7, 8 \},\ A\cup B=\{ 4, 5, 6, 7, 8, 9, 10, 11, 12 \} \), then find B.
| A). \( \Large \{ 4, 5, 6, 7, 8 \} \) |
| B). \( \Large \{ 6, 7, 8, 11, 12 \} \) |
| C). \( \Large \{ 4, 5, 7, 10, 11, 12 \} \) |
| D). None of these |
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10). If \( \Large E=\{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \},\ A=\{1, 2, 3, 4, 5 \},\ B=\{2, 4, 6, \} \) then find \( \Large \left(A\cup B\right)' \)
| A). \( \Large \{ 8, 9 10 \} \) |
| B). \( \Large \{ 7, 8, 9 10 \} \) |
| C). \( \Large \{ 6, 7, 8, 9, 10 \} \) |
| D). cannot be found |
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