Question : Which one of the following is a factor of the sum of the first twenty-five natural numbers?
Option 1: 26
Option 2: 24
Option 3: 13
Option 4: 12
Correct Answer: 13
Solution :
Given: $n$ = 25
The sum of the first $n$ natural numbers = $\frac{n(n+1)}{2}$ = $\frac{25\times 26}{2}$ = 25 × 13
The factors of the sum of the first 25 natural numbers are 13 and 25.
Hence, the correct answer is 13.
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