Which one of the following is the common factor of (47⁴³ + 43⁴³) and (47⁴⁷ + 43⁴⁷) = ?

A. (47 - 43)

B. (47 + 43)

C. (47⁴³ + 43⁴³)

D. None of these

Answer: Option B

Solution(By Examveda Team)

When n is odd, (xⁿ + aⁿ) is always divisible by (x + a).
∴ Each one of (47⁴³ + 43⁴³) and (47⁴⁷ + 43⁴⁷) is divisible by (47 + 43)