Find a common factor of (127¹²⁷+97¹²⁷) and (127⁹⁷+97⁹⁷). · ABC26GN0051
Subject: General Aptitude · Chapter: Number System
Find a common factor of $\left(127^{127}+97^{127}\right)$ and $\left(127^{97}+97^{97}\right)$.
Answer
No answer key was printed for this question.
Explanation
(xn + an) is divisible by (x + a) for all odd values of n. \ (127127 + 97127) as well as (12797 + 9797) is divisible by (127 + 97), i.e. 224. Hence, required common factor = 224.
Explanation as extracted from the printed page; notation may be imperfect.