If N a = { a n : n ∈ N } , then N 3 ∩ N 4 = Options: A . &nbspN7 B . &nbspN12 C . &nbspN3 D . &nbspN4

Answer: Option B : B N a = { a n : n ∈ N } N 3 ∩ N 4 = { 3 , 6 , 9 , 12 , 15 … … } ∩ { 4 , 8 , 12 , 16 , 20 , … … } = { 12 , 24 , 36 … … } = N 12 [ ∵ 3,4 are relatively prime numbers ] ∴ N 3 ∩ N 4 = N 12

If Na={an:n∈N} , then N3∩N4 =

Question

N_{a} = {a n : n \in N}

, then

N_{3} \cap N_{4}

Options:

A . N7

B . N12

C . N3

D . N4

Answer: Option B
:
B

N_{a} = {a n : n \in N}

N_{3} \cap N_{4} = {3, 6, 9, 12, 15 \dots \dots} \cap {4, 8, 12, 16, 20, \dots \dots}

= {12, 24, 36 \dots \dots} = N_{12}

[

∵

3,4 are relatively prime numbers ]

∴

N_{3} \cap N_{4}

N_{12}

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