If $A=\{x: x=3 n, n \in Z\}$ and $B=\{x: x=4 n, n \in Z\}$ then $A \cap B$ is

$\{x: x=n-1, n \in Z\}$ (D) $\{x: x=12 n, n \in Z\}$

JEE MATHEMATICS MCQ: SET THEORY

1 Easy

1 of 1

Understanding +4 | -1

A=\{x: x=3 n, n \in Z\}

and

B=\{x: x=4 n, n \in Z\}

then

A \cap B

View answer and explanation

Correct option: D

None of these

Option D (

\{x: x=12 n, n \in Z\}

) is correct because the intersection of multiples of 3 and 4 are multiples of 12.

Practice All Chapter MCQs →

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