JEE MATHEMATICS MCQ: SET THEORY

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Let

P

be the set of prime numbers and

S=\left\{t: 2^t-1\right.

is a prime\}. Then,

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Correct option: A

S \subset P

Option A (

S \subset P

) is correct because if

2^t - 1

is prime, then t must be prime, but not all prime numbers t will result in

2^t - 1

being prime. Therefore, S is a subset of P.

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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