Which letter will replace the question mark (?) in the following letter series? E, J, N, Q, S, ?
T
This question asks us to identify the next letter in a given letter series: E, J, N, Q, S, ?. To solve this type of problem, we need to look for a pattern or rule that connects the letters in the series.
Let's examine the difference in position between consecutive letters in the English alphabet. We can assign a numerical value to each letter (A=1, B=2, ..., Z=26).
| Letter | Alphabetical Position |
|---|---|
| E | 5 |
| J | 10 |
| N | 14 |
| Q | 17 |
| S | 19 |
| ? | ? |
Now, let's find the difference in position between each consecutive pair of letters:
Let's list the differences we found:
Differences: 5, 4, 3, 2
Looking at the sequence of differences (5, 4, 3, 2), we can observe a clear pattern: the difference between consecutive letters is decreasing by 1 each time. Following this pattern, the next difference in the series should be $2 - 1 = 1$.
To find the letter that replaces the question mark (?), we need to add the next difference (1) to the alphabetical position of the last letter in the given series, which is S (position 19).
Position of next letter = Position of S + Next difference
Position of next letter = $19 + 1 = 20$
The letter at the 20th position in the English alphabet is T.
Therefore, the letter that replaces the question mark (?) in the series E, J, N, Q, S, ? is T.
| Step | Letters | Alphabetical Positions | Difference | Pattern Observed |
|---|---|---|---|---|
| 1 | E, J | 5, 10 | $10 - 5 = 5$ | Difference is 5 |
| 2 | J, N | 10, 14 | $14 - 10 = 4$ | Difference is 4 |
| 3 | N, Q | 14, 17 | $17 - 14 = 3$ | Difference is 3 |
| 4 | Q, S | 17, 19 | $19 - 17 = 2$ | Difference is 2 |
| 5 | S, ? | 19, ? | Next difference = $2 - 1 = 1$ | Difference decreases by 1 each step |
| 6 | ? | $19 + 1 = 20$ | - | Position of next letter is 20 |
| Result | Letter at position 20 | T | - | Missing letter is T |
Letter series questions are common in logical reasoning tests. They require identifying the underlying pattern which can be based on various rules:
Practicing different types of letter series helps in quickly recognizing the pattern during exams.
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