Answer (Detailed Solution Below)

Option 2 : 8

Detailed Solution

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Given:

Σn = 36

Formula used:

Σn = n(n + 1) / 2

Where,

Σn = sum of the first n natural numbers

Calculation:

Σn = 36

We need to find n such that

n(n + 1) / 2 = 36

⇒ n(n + 1) = 72

⇒ n2 + n - 72 = 0

⇒ (n - 8) (n + 9) = 0

Taking the positive value, n - 8 = 0 

So, n = 8

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