Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
Find a common factor of $\left(127^{127}+97^{127}\right)$ and $\left(127^{97}+97^{97}\right)$.
Answer
Answer (as printed):
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.