Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
Which one of the following is the common factor of $\left(47^{43}+43^{43}\right)$ and $\left(47^{47}+43^{47}\right)$ ?
(a)(47-43)
(b)(47 + 43)
(c)$\left(47^{43}+43^{43}\right)$
(d)None of these
Answer
Answer (as printed): B
Explanation
When $n$ is odd, $\left(x^{n}+a^{n}\right)$ is always divisible by $(x+a)$. ∴ Each one of $\left(47^{43}+43^{43}\right)$ and $\left(47^{47}+43^{47}\right)$ is divisible by (47 + 43).
Explanation as extracted from the printed page; notation may be imperfect.