Select the number that will replace the question mark (?) in the following series. LYR, JWP, HUN, FSL, ?
DQJ
This question asks us to identify the pattern in the given letter series and find the next term. The series is LYR, JWP, HUN, FSL, ?. Each term consists of three letters. Let's analyze the pattern for each position of the letter in the terms.
The first letters of the terms are L, J, H, F, ?. Let's look at their positions in the English alphabet:
The sequence of positions is 12, 10, 8, 6, ?. We can see a clear pattern here: each number is 2 less than the previous number.
The difference between consecutive first letters is:
So, the pattern for the first letter is decreasing by 2 positions in the alphabet. To find the next first letter, we subtract 2 from the position of F:
$6 - 2 = 4$. The 4th letter in the alphabet is D. So the next first letter is D.
The second letters of the terms are Y, W, U, S, ?. Let's look at their positions in the English alphabet:
The sequence of positions is 25, 23, 21, 19, ?. This also shows a pattern where each number is 2 less than the previous number.
The difference between consecutive second letters is:
So, the pattern for the second letter is decreasing by 2 positions in the alphabet. To find the next second letter, we subtract 2 from the position of S:
$19 - 2 = 17$. The 17th letter in the alphabet is Q. So the next second letter is Q.
The third letters of the terms are R, P, N, L, ?. Let's look at their positions in the English alphabet:
The sequence of positions is 18, 16, 14, 12, ?. Again, each number is 2 less than the previous number.
The difference between consecutive third letters is:
So, the pattern for the third letter is decreasing by 2 positions in the alphabet. To find the next third letter, we subtract 2 from the position of L:
$12 - 2 = 10$. The 10th letter in the alphabet is J. So the next third letter is J.
By following the pattern for each letter position, we found that the next term will have:
Therefore, the next term in the series LYR, JWP, HUN, FSL, ? is DQJ.
| Term | 1st Letter | 2nd Letter | 3rd Letter |
|---|---|---|---|
| LYR | L (12) | Y (25) | R (18) |
| JWP | J (10) | W (23) | P (16) |
| HUN | H (8) | U (21) | N (14) |
| FSL | F (6) | S (19) | L (12) |
| ? | D (4) | Q (17) | J (10) |
The number that will replace the question mark is DQJ.
| Concept | Description | How it applies here |
|---|---|---|
| Letter Position | Each letter in the alphabet corresponds to a number (A=1, B=2, ... Z=26). | Used to quantify the pattern (decreasing by 2). |
| Identifying Pattern | Look for consistent changes (addition, subtraction, multiplication, sequence) between consecutive terms. | We found a consistent subtraction of 2 for each letter position. |
| Applying Pattern | Once the pattern is found, apply it to the last given term to find the next term. | Applied the '-2' rule to the letters of FSL. |
Letter series questions often involve different types of patterns. Here are some common ones:
Solving letter series questions requires careful observation and often involves converting letters to their numerical positions to spot the mathematical pattern.
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Q _ P _ M _ A _ T _ Q A _ T M
In the series _b_a_ba_b_abab_aab;
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