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Question

Question: If \(N _ { 3 } \cap N _ { 4 } =\)...

If N3N4=N _ { 3 } \cap N _ { 4 } =

A

N7N _ { 7 }

B

N12N _ { 12 }

C

N3N _ { 3 }

D

N4N _ { 4 }

Answer

N12N _ { 12 }

Explanation

Solution

N3N4={3,6,9,12,15}{4,8,12,16,20,.N _ { 3 } \cap N _ { 4 } = \{ 3,6,9,12,15 \ldots \ldots \} \cap \{ 4,8,12,16,20 , \ldots ..

= {12, 24, 36......} = N12N _ { 12 }

Trick: N3N4=N12N _ { 3 } \cap N _ { 4 } = N _ { 12 } [\bullet \bullet 3, 4 are relatively prime numbers]