SSC CGL – Combined Graduate Level Examination · Question 53
Evaluate the continued fraction: x = 2 + 1/(3 + 1/(4 + 1/2))
Show answer & explanation
Answer: (A) 67/29
Explanation
4 + 1/2 = 9/2, so 1/(9/2) = 2/9; 3 + 2/9 = 29/9, so 1/(29/9) = 9/29; x = 2 + 9/29 = 67/29. (Verified against the official SSC answer key.)