If a/b = 3/4, b/c = 4/5 and c/d = 5/6, then the sum of the numerator and the denominator (which are coprimes) of (a/d)10 is:
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 1025
|
Application |
|
a/b = 3/4 ⇒ b = 4a/3 b/c = 4/5 ⇒ c = 5b/4 ⇒ c = 5a/3 c/d = 5/6 ⇒ d = 6c/5 ⇒ d = 2a Hence, a/d = 1/2 (a/d)10 = 1/1024 Now, Sum of the numerator and the denominator = 1 + 1024 = 1025 |