If N_a = an:n N , then N_3 N_4 = - Vidyadip

MCQ

If ${N_a} = \{ an:n \in N\} ,$ then ${N_3} \cap {N_4} = $

A
${N_7}$
✓
${N_{12}}$
C
${N_3}$
D
${N_4}$

✓

Answer

Correct option: B.

${N_{12}}$

b
(b) ${N_3} \cap {N_4} = \{ 3,\,6,\,9,\,12,15......\} \cap \{ 4,\,8,\,12,\,16,\,20,.....\} $

$= \{12, 24, 36......\} =$ ${N_{12}}$.

Trick : ${N_3} \cap {N_4} = {N_{12}}$

[ $\because $ $3, 4$ are relatively prime numbers].

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