A) \[{{N}_{7}}\]
B) \[{{N}_{12}}\]
C) \[{{N}_{3}}\]
D) \[{{N}_{4}}\]
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].
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