YRM, PID, GZU, XQL,?
Alphabetical Series Pattern Analysis
The question asks us to identify the next three-letter word in the given series: YRM, PID, GZU, XQL, ?. This requires us to find a consistent pattern in the transformation between consecutive terms based on the English alphabetical order.
Series Pattern Step-by-Step Calculation
We will analyze the transformation from one term to the next by looking at the changes in the alphabetical positions of the letters. The standard positions in the English alphabet are A=1, B=2, ..., Z=26.
Step 1: YRM to PID
Let's determine the change in position for each letter from YRM to PID.
| Letter Pair | Position 1 | Position 2 | Difference | Operation |
|---|---|---|---|---|
| Y to P | Y (25) | P (16) | \(16 - 25\) | -9 |
| R to I | R (18) | I (9) | \(9 - 18\) | -9 |
| M to D | M (13) | D (4) | \(4 - 13\) | -9 |
The pattern observed from YRM to PID is subtracting 9 from the alphabetical position of each letter.
Step 2: PID to GZU
Now, let's analyze the transformation from PID to GZU.
| Letter Pair | Position 1 | Position 2 | Sum/Difference | Resulting Position | Resulting Letter | Operation |
|---|---|---|---|---|---|---|
| P to G | P (16) | G (7) | \(16 + 17 = 33\) | \(33 \pmod{26} = 7\) | G | +17 (wrap-around) |
| I to Z | I (9) | Z (26) | \(9 + 17 = 26\) | 26 | Z | +17 |
| D to U | D (4) | U (21) | \(4 + 17 = 21\) | 21 | U | +17 |
The pattern observed from PID to GZU is adding 17 to the alphabetical position of each letter, applying wrap-around logic for positions exceeding 26 (e.g., \(33 \pmod{26} = 7\)).
Step 3: GZU to XQL
Next, let's examine the transformation from GZU to XQL.
| Letter Pair | Position 1 | Position 2 | Difference | Resulting Position | Resulting Letter | Operation |
|---|---|---|---|---|---|---|
| G to X | G (7) | X (24) | \(7 - 9 = -2\) | \(-2 \pmod{26} = 24\) | X | -9 (wrap-around) |
| Z to Q | Z (26) | Q (17) | \(26 - 9 = 17\) | 17 | Q | -9 |
| U to L | U (21) | L (12) | \(21 - 9 = 12\) | 12 | L | -9 |
The pattern observed from GZU to XQL is again subtracting 9 from the alphabetical position of each letter, using wrap-around where necessary (e.g., \(7 - 9 = -2\), which corresponds to the 24th letter X).
Overall Series Transformation Rule
Based on the analysis, the series follows an alternating pattern of operations applied to each letter's position:
- Term 1 to Term 2: Subtract 9
- Term 2 to Term 3: Add 17
- Term 3 to Term 4: Subtract 9
Therefore, the next step to find Term 5 should be applying the Add 17 operation.
Finding the Next Term: XQL to ?
We apply the '+17' operation to the letters of the last term, XQL.
| Letter | Current Position | Operation | Calculation | Resulting Position | Next Letter |
|---|---|---|---|---|---|
| X | 24 | +17 | \(24 + 17 = 41\) | \(41 \pmod{26} = 15\) | O |
| Q | 17 | +17 | \(17 + 17 = 34\) | \(34 \pmod{26} = 8\) | H |
| L | 12 | +17 | \(12 + 17 = 29\) | \(29 \pmod{26} = 3\) | C |
Combining these letters, the next term in the series is OHC.
Conclusion
The identified alternating pattern of '-9' and '+17' operations correctly predicts the next term in the series as OHC.
Similar Questions
- Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order?
BJL, EMO, HPR, KSU, ? Find the missing number in the given series. -2.7, -2.1, -1.5, -0.9, -0.3, ?
Refer to the given number and symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) 2 & % 4 6 @ & 3 Ω 9 # 1 * 8 £ 6 1 7 # (Right)
How many such symbols are there, each of which is immediately preceded by an even number and also immediately followed by an even number?
- Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operation on the second number results in the third number and so on. Which of the given options follows the same set of operations as in the given sets?
(NOTE - A two/three digit number cannot be broken into individual digits for operations e.g. if 37 is followed by 10, the operation cannot be 3+7 as a two digit number cannot be broken into individual digits)
13 - 26 - 30 - 60 ; 9 - 18 - 22 - 44
Important Questions from Series
Choose the option which completes the given figure series.
Select the correct option that will fill in the blank and complete the series.
18, 36, 108, 432, 2160, .............Select the correct option that will fill in the blank and complete the series.
52, 56, 65, 81, 106, ?Select the correct option that will fill in the blank and complete the series. 21, 43, 85, 171, 341, .......
Select the correct option that will fill in the blank and complete the series.
3, 5, 7, 9, 11, ?
2, 2, 2, 2, 2, ?
