Question

19⁵ + 21⁵ is divided by - 
1. Only 10
2. Only 20
3. Both 10 and 20
4. None of the above

Answer 1

Correct Answer - Option 3 : Both 10 and 20

Concept Used - 

⇒ aⁿ + bⁿ ; is divided by (a + b) if n is odd

Solution - 

195 + 21⁵ 

⇒ 195 + 21⁵ ; is divided by (19 + 21) = 40

⇒ factor of 40 = 1, 2, 4, 5, 8, 10, 20, 40

⇒ number is divided by 10 and 20 both.