Select the correct option that will fill in the blank and complete the series.
Q
Letter series questions require you to identify the pattern governing a sequence of letters. The pattern can be based on the alphabetical position of the letters, skipping letters, or a combination of rules. Let's analyze the given series: L, K, I, F, B, W, __________.
We can look at the position of each letter in the English alphabet (A=1, B=2, ..., Z=26):
Let's find the difference in alphabetical position between consecutive letters. We need to remember that the alphabet wraps around, so after Z comes A, and before A comes Z.
The pattern of decrease in the alphabetical position is 1, 2, 3, 4, 5. The next step in the pattern should be a decrease of 6.
The last letter in the given series is W, which is the 23rd letter. Following the pattern, we need to decrease the position by 6.
Current letter position: 23 (for W)
Decrease amount: 6
Next position: ${23 - 6 = 17}$.
The letter at the 17th position in the English alphabet is Q.
So, the next letter in the series L, K, I, F, B, W, __________ is Q.
Let's check the alphabetical positions of the given options:
| Option | Letter | Position |
|---|---|---|
| 1 | S | 19 |
| 2 | Q | 17 |
| 3 | P | 16 |
| 4 | R | 18 |
Our calculated next letter is Q, which corresponds to position 17. This matches Option 2.
By analyzing the difference in alphabetical positions between consecutive letters in the series L, K, I, F, B, W, we found a pattern of decreasing the position by 1, then 2, then 3, then 4, then 5. Extending this pattern, the next decrease should be by 6 from the position of W. The 23rd letter (W) minus 6 positions leads us to the 17th letter, which is Q. Thus, Q is the next term in the series.
| Step | From Letter | To Letter | Positions | Difference |
|---|---|---|---|---|
| 1 | L | K | 12 to 11 | -1 |
| 2 | K | I | 11 to 9 | -2 |
| 3 | I | F | 9 to 6 | -3 |
| 4 | F | B | 6 to 2 | -4 |
| 5 | B | W | 2 to 23 (wrapped) | -5 |
| 6 | W | ? | 23 to 17 | -6 |
Letter series questions are a common type in logical reasoning tests. They assess your ability to identify sequential patterns. Patterns can be based on:
To solve these, write down the alphabetical positions, look for differences or ratios, check for skipping patterns, and consider wrapping around the alphabet from A to Z or Z to A.
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