Consider the sequence AB_CC_A_BCCC_BBC_C that follows a certain pattern. Which one of the following completes the sequence?
B, C, B, A, C
Analyzing the Sequence Pattern
The given sequence is AB_CC_A_BCCC_BBC_C. This is a letter series with missing characters, and we need to find the correct set of characters from the options to complete the sequence following a specific pattern.
The sequence has blanks at positions 3, 6, 8, 13, and 17:
A B C C A B C C C B B C C
There are 5 blanks, and the options provide 5 letters to fill these blanks in order.
Testing the Options
Let's try filling the blanks with the letters from each option and look for a repeating pattern in the resulting sequence.
Testing Option 1: B, C, B, C, A
Filling the blanks:
A B B C C C A B B C C C C B B C A C
Resulting sequence: ABBCCCABBCCCCBBCAC
Let's look for repeating segments. This sequence doesn't immediately show a clear, consistent repeating block.
Testing Option 2: A, C, B, C, A
Filling the blanks:
A B A C C C A B B C C C C B B C A C
Resulting sequence: ABACCCABBCCCCBBCAC
This sequence also does not show a clear, consistent repeating block.
Testing Option 3: B, C, B, A, C
Filling the blanks:
A B B C C C A B B C C C A B B C C C
Resulting sequence: ABBCCCABBCCCABBCCC
Let's examine this sequence closely:
ABBCCC | ABBCCC | ABBCCC
This sequence is formed by repeating the block "ABBCCC" exactly three times.
Identifying the Pattern
The sequence formed by filling the blanks with B, C, B, A, C is ABBCCCABBCCCABBCCC. This sequence clearly follows a repeating pattern of the group of letters "ABBCCC".
Let's verify this against the original sequence structure:
Original: A B C C A B C C C B B C C
Pattern: A B B C C C A B B C C C A B B C C C
The letters from Option 3 (B, C, B, A, C) fit perfectly into the blank positions to complete the "ABBCCC" repeating pattern.
Blank 1 (Position 3) is filled by the 3rd letter of the pattern (B).
Blank 2 (Position 6) is filled by the 6th letter of the pattern (C).
Blank 3 (Position 8) is filled by the 2nd letter of the pattern's second repetition (B).
Blank 4 (Position 13) is filled by the 1st letter of the pattern's third repetition (A).
Blank 5 (Position 17) is filled by the 5th letter of the pattern's third repetition (C).
Therefore, the sequence B, C, B, A, C correctly completes the sequence.
Conclusion
By filling the blanks with the letters from Option 3 (B, C, B, A, C), the sequence becomes ABBCCCABBCCCABBCCC, which demonstrates a clear repeating pattern of "ABBCCC". This is the correct set of letters that completes the sequence.
Revision Table: Sequence Patterns
| Concept | Description | Example |
|---|---|---|
| Repeating Pattern | A sequence where a specific block of elements (letters, numbers, symbols) repeats one or more times. | ABCABCABC (ABC repeats) |
| Alternating Pattern | A sequence where elements alternate in a specific order. | ABABAB (A and B alternate) |
| Increasing/Decreasing Pattern | A sequence where the change between elements follows a rule (e.g., add 2 each time). More common in number series. | A, C, E, G (Letters skip one) |
Additional Information: Solving Letter Series Questions
Letter series questions often require identifying the rule or pattern that governs the sequence. Common patterns include:
- Repeating blocks of letters.
- Letters skipping a fixed number of letters in the alphabet (e.g., A, C, E, G skips one letter each time).
- Letters moving forward or backward in the alphabet by a varying number.
- Combinations of letters and numbers.
- Patterns based on letter positions in the alphabet (A=1, B=2, etc.).
To solve these problems, it's helpful to:
- Write down the sequence clearly, marking the blanks.
- Look for repeating segments, especially if the sequence is long.
- Consider the position of letters in the alphabet if repeating patterns aren't obvious.
- Test the given options by filling the blanks and checking if a logical pattern emerges.
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Important Questions from Miscellaneous Topics
Which one of the following statements best reflects the critical message conveyed by the author of the passage?
With reference to the above passage, the following assumptions have been made:
I. No country needs to depend on ecosystems to boost national income.
II. Resource-rich countries need to share their resources with those of scant resources so as to prevent the degradation of ecosystems.
Which of the above assumptions is/are valid?Which one of the following statements best reflects the central idea of the passage?
With reference to the above passage, the following assumptions have been made:
I. Path-dependent green investments will eventually most likely benefit growth as well as public finances in a country like India.
II. If other green technologies follow the same pattern as that of solar energy, there will most likely be an easy green transition.
Which of the above assumptions is/are valid?Three prime numbers p, q and r, each less than 20, are such that p − q = q − r. How many distinct possible values can we get for (p + q + r)?
