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Question 11 Mark
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$A -( B \cap C )$
Answer
$A -( B \cap C )=\{8,24\}$
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Question 21 Mark
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$B \cap C ^{\prime}$
Answer
$B \cap C ^{\prime}=\{9,18,36\}$
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Question 31 Mark
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$A \cap B ^{\prime}$
Answer
$A \cap B ^{\prime}=\{8,24\}$
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Question 41 Mark
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$A \cup C$
Answer
$A \cup C =\{1,2,3,4,6,8,12,16,24,48\}$
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Question 51 Mark
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$B \cup C$
Answer
$B \cup C =\{1,2,3,4,6,8,9,12,16,18,24,36,48\}$
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Question 61 Mark
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$C - A$
Answer
$C - A =\{16,48\} $
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Question 71 Mark
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$A \cup B$
Answer
$A \cup B =\{1,2,3,4,6,8,9,12,18,24,36\}$
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Question 81 Mark
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$C ^{\prime}$$\quad$
Answer
$C ^{\prime}=\{9,18,36,72,144\}$
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Question 91 Mark
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$B ^{\prime}$$\quad$
Answer
$B ^{\prime}=\{8,16,24,48,72,144\}$
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Question 101 Mark
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$A ^{\prime}$$\quad$
Answer
$A ^{\prime}=\{9,16,18,36,48,72,144\}$
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Question 111 Mark
Let $\xi=\{x \mid x \in Z ,-4 \leq x \leq 4\}, A =\{x \mid x \in W, x<4\}$ and $B=\{x \mid x \in N, 2 < x \leq 4\}$.Find : (i) $A ^{\prime}$ and (ii) $B ^{\prime}$.
Answer
(i) $A ^{\prime}=\{-4,-3,-2,-1,4\}$ (ii) $B ^{\prime}=\{-4,-3,-2,-1,0,1,2\}$
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Question 121 Mark
Let $\xi=\{13,14,15,16,17,18,19,20,21\}, A =\{13,17,19\}$ and $B =\{14,16,18,20\}$. Find (i) $A ^{\prime}$ and (ii) $B ^{\prime}$.
Answer
(i) $A ^{\prime}=\{14,15,16,18,20,21\}$ (ii) $B ^{\prime}=\{13,15,17,19,21\}$
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Question 131 Mark
Let $A =\{1,4,7,8\}$ and $B =\{4,6,8,9\}$. Find (i) $A - B $ (ii) $B - A$.
Answer
(i) $A - B =\{1,7\}$ (ii) $B - A =\{6,9\}$
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Question 301 Mark
The statement is true or not true :
For any two sets A and B , either $A \subseteq B$ or $B \subseteq A$.
Answer
not true
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[1 Mark Question Answer] - MATHS STD 8 Questions - Vidyadip