JEE MATHEMATICS MCQ: SET THEORY

1 Easy

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Understanding +4 | -1

A set

\mathrm{S}

contains 3 elements, the number of subsets of which of following sets is 256 .

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Correct option: C

\mathrm{P}(\mathrm{P}(\mathrm{S}))

Option C (

\mathrm{P}(\mathrm{P}(\mathrm{S}))

) is correct because the power set of the power set of S has 256 subsets.

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S

2 a_1 a_2 a_3 \ldots . . a_{2006}

a_1, a_2, a_3, \ldots ., a_{2006}

S

a N=\{a n: n \in N: b N=\{n b: n \in N\}

c N=\{c N: n \in N\}

b N \cap c N=d N

a, b, c \in N

b, c

A=\{x: x

\}

B=\{x: x

A-B

F(n)

n

[\mathrm{F}(20) \cap \mathrm{F}(16)] \subseteq \mathrm{F}(\mathrm{y})

40 \%

A, 20 \%

10 \%

C

A

C

4 \%

A

C

2 \%

A