If $A = \left\{ {p \in N:p\;{\rm{is\;}}a{\rm{\;prime\;and\;}}p = \frac{{7{n^2} + 3n + 3}}{n}{\rm{\;for\;some}}\;n \in N} \right\},$ then the number of elements in the set $A$, is

JEE MATHEMATICS MCQ: SET THEORY

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A = \left\{ {p \in N:p\;\mathrm{is\;}a\mathrm{\;prime\;and\;}p = \frac{{7{n^2} + 3n + 3}}{n}\mathrm{\;for\;some}\;n \in N} \right\},

then the number of elements in the set

A

, is

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Correct option: A

The correct answer is A (1) because the given condition leads to n=1, resulting in only one prime number.

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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