NDA2018MathematicsBasics of MathematicsActual
What is the greatest integer among the following by which the number 5^5+7^5 is divisible?
Options
- A6
- B8
- C11
- D12
Correct answer
D. 12
Step-by-step solution
We know, a ^ n + b ^ n is divisible by ( a + b ) , if n is odd. Here, n =5 is odd 5^5+7^5 is divisible by 5+7=12