Sets Relations And Functions Question 64
Question: If $\mathrm{N}_{\mathrm{a}}=\{\mathrm{an}: \mathrm{n} \in \mathrm{N}\}$, then $\mathrm{N}_3 \cap \mathrm{N}_4=$
Options:
A) $ N_7 $
B) $ N_{12} $
C) $ N_3 $
D) $ N_4 $
Show Answer
Answer:
Correct Answer: B
Solution:
-
$ 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].
BETA
