Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series. b _ c e _ k b _ c _ f k b b _ e f _ b b c _ f k
b, f, b, e, c, k, e
Letter series completion questions test your ability to identify a pattern in a sequence of letters and use that pattern to fill in the missing terms. These patterns can be based on repetition, alphabetical order, skipping letters, or a combination of rules.
The given series is:
b _ c e _ k b _ c _ f k b b _ e f _ b b c _ f k
We need to find the combination of letters from the options that will complete this series according to a logical pattern.
We can test each option by sequentially placing its letters into the blanks in the series. Let's examine the blanks' positions by numbering the characters (including blanks):
b1 _2 c3 e4 _5 k6 b7 _8 c9 _10 f11 k12 b13 b14 _15 e16 f17 _18 b19 b20 c21 _22 f23 k24
The blanks are at positions: 2, 5, 8, 10, 15, 18, 22. There are 7 blanks.
Let's try filling the blanks using the letters from Option 3: b, f, b, e, c, k, e.
Placing these letters into the blanks, the series becomes:
b b c e f k b b c e f k b b c e f k b b c e f k
The completed series is: bbcefkbbcefkbbcefkbbcefk
Observing the completed series bbcefkbbcefkbbcefkbbcefk, we can see a clear pattern. The sequence 'bbcefk' is repeated four times.
The repeating unit, or block, is bbcefk, which has a length of 6 characters.
Let's break down the completed series into these blocks:
The entire series is formed by repeating this 6-character block.
Now, let's check if the letters used from Option 3 (b, f, b, e, c, k, e) correctly fill the blanks to create this repeating pattern in the original series structure.
Original series with blank positions:
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Original | b | _ | c | e | _ | k | b | _ | c | _ | f | k | b | b | _ | e | f | _ | b | b | c | _ | f | k |
| Expected (bbcefk pattern) | b | b | c | e | f | k | b | b | c | e | f | k | b | b | c | e | f | k | b | b | c | e | f | k |
| Letters needed for blanks | b | f | b | e | c | k | e |
The letters needed to fill the blanks to achieve the repeating 'bbcefk' pattern are exactly 'b', 'f', 'b', 'e', 'c', 'k', 'e' in that order. This matches the sequence provided in Option 3.
By filling the blanks with the letters from Option 3 (b, f, b, e, c, k, e), the given letter series forms a clear pattern of the repeating block 'bbcefk'. Therefore, this combination correctly completes the series.
| Concept | Description | Example Pattern Type |
|---|---|---|
| Repeating Pattern | A block of letters repeats consistently. | abcabcabc... |
| Alphabetical Order | Letters follow standard alphabetical sequence, possibly skipping letters. | A, C, E, G... (skipping one letter) |
| Mixed Series | A combination of different patterns (e.g., alphabetical sequence with repeating blocks). | axbycz... |
| Gap Analysis | Determining the length of repeating blocks by analyzing the number of letters and blanks. | Total length / Number of known characters + blanks |
When tackling letter series completion problems in logical reasoning, consider these tips:
Solving letter series puzzles requires careful observation and systematic testing of possibilities to uncover the underlying rule or pattern.
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