Question

If N_a = {an: n \(\in\) N}, then N₆ ∩ N₈ = ?
1. N₂
2. N₂₄
3. N₁₄
4. N₂₄₀

Answer 1

Correct Answer - Option 2 : N₂₄

Concept:

• If A and B are two sets then A ∩ B = {x : x ∈ A and x ∈ B}

 

Calculation:

Given that: Na = {an: n ∈ N}, 

⇒ N6 = {6n: n ∈ N} = {6, 12, 24, 30, .... }

⇒ N8 = {8n: n ∈ N} = {8, 16, 24, 32, ...}

⇒ N6 ∩ N8​ = {24, 48, 72, .... }

⇒ N6 ∩ N8​ = {24n: n ∈ N}

⇒ N₆ ∩ N₈ = N₂₄.

Hence, option 2 is correct.