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

Question: 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

Explanation:

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).