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51). The number of subsets of an empty set is
A). 0
B). 1
C). 2
D). 3
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Correct Answer:
1
The empty set is { }
So number of subject of an empty set = \( \Large 2 ^{\circ} = 1 \)
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52). If \( \Large A=\{ 1, 2, 4, 5 \},\ B=\{ 1, 2, 3 \} \) then A-B is
A). \( \Large \{ 1, 16 \} \)
B). \( \Large \{ 1, 9 \} \)
C). \( \Large \{ 1, 3 \} \)
D). \( \Large \{ 1, 4 \} \)
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Correct Answer:
\( \Large \{ 1, 3 \} \)
A - B is such that \( \Large x\epsilon A,\ x\epsilon B \)
\( \Large A - B = \{ 4, 5 \} \)
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53). Which of the results is not true?
A). \( \Large A\cap \left(B\cup C\right)= \left(A\cap B\right)\cup \left(A\cap C\right) \)
B). \( \Large A\cup \left(B\cap C\right)= \left(A\cup B\right)\cap \left(A\cup C\right) \)
C). \( \Large A\cup \left(B\cup C\right)= \left(A\cup B\right)\cup C \)
D). \( \Large A\cap \left(B\cup C\right)= \left(A\cup B\right)\cap \left(A\cup C\right) \)
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Correct Answer:
\( \Large A\cap \left(B\cup C\right)= \left(A\cup B\right)\cap \left(A\cup C\right) \)
\( \Large A\cap \left(B\cup C\right) = \left(A\cup B\right)\cap \left(A\cup C\right) \) is not correct.
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54). if \( \Large n\left[ p \left(A\right) \right]=64 \), then \( \Large n \left(A\right)=? \)
A). 4
B). 6
C). 8
D). 16
View Answer
Correct Answer:
6
\( \Large n \left(P \left(A\right) \right) = 64 \)
= \( \Large 2^{6} \)
= \( \Large n \left(A\right) = 6 \)
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