JEE MATHEMATICS MCQ: SET THEORY

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Application +4 | -1

Let

A=\{n \in[100,700] \cap N: n

is neither a multiple of 3 nor a multiple of 4

\}

. Then the number of elements in

\mathrm{A}

View answer and explanation

Correct option: A

300

Option A (300) is correct because it is the number of integers in the given range that are neither multiples of 3 nor multiples of 4.

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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})

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A, 20 \%

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A

C

4 \%

A

C

2 \%

A