Find the missing letters in the following sequence in the correct order abca bcaab ca bbc
Numerical & Reasoning Ability ·Previously asked in JKSSB Constable (Telecommunication) 2024
View the full solved paper: JKSSB Constable (Telecommunication) 2024 - Set A
Question
Find the missing letters in the following sequence in the correct order
abca bcaab ca bbc
- A. ccaa
- B. abac (Correct answer)
- C. abba
- D. bbaa
Correct Answer
Option B — abac
Detailed Solution & Explanation
The correct answer is abac.
Key Points
- The sequence is abca_bcaab_ca_bbc_, with four blanks to be filled in order.
- Filling them with a, b, a, c gives the complete string: abcaabcaabbcaabbcc.
- That string breaks into a progressive pattern of four groups, each one letter longer than the last:
- abc (3 letters)
- aabc (4 letters) — one extra *a*
- aabbc (5 letters) — one extra *a* and *b*
- aabbcc (6 letters) — one extra *a*, *b* and *c*
- Each group repeats the letters a, b, c in order, with the count of each letter building up step by step.
Additional Information
- Testing the other options confirms the answer: only abac produces the clean 3-4-5-6 progression. Option A gives *acbc / aabcc*, Option C gives *abbbca* and Option D gives *abbc / aabbca* — none of which forms a consistent pattern.
- The efficient technique for letter-series questions is to write the full string out first, then look for grouping boundaries, rather than trying to reason about the blanks in isolation.
Topics covered: Letter Series Reasoning