In the following question, select the odd letters from the given alternatives.
NOQT
This question asks us to identify the pattern in each group of letters and find the one that doesn't follow the same rule as the others. To do this, we can look at the position of each letter in the English alphabet.
Let's examine each option by assigning numerical values to the letters (A=1, B=2, C=3, ..., Z=26) and finding the difference between consecutive letters.
F is the 6th letter. H is the 8th letter. J is the 10th letter. L is the 12th letter.
The differences are:
\(8 - 6 = 2\)
\(10 - 8 = 2\)
\(12 - 10 = 2\)
Pattern: \(+2, +2, +2\)
R is the 18th letter. T is the 20th letter. V is the 22nd letter. X is the 24th letter.
The differences are:
\(20 - 18 = 2\)
\(22 - 20 = 2\)
\(24 - 22 = 2\)
Pattern: \(+2, +2, +2\)
B is the 2nd letter. D is the 4th letter. F is the 6th letter. H is the 8th letter.
The differences are:
\(4 - 2 = 2\)
\(6 - 4 = 2\)
\(8 - 6 = 2\)
Pattern: \(+2, +2, +2\)
N is the 14th letter. O is the 15th letter. Q is the 17th letter. T is the 20th letter.
The differences are:
\(15 - 14 = 1\)
\(17 - 15 = 2\)
\(20 - 17 = 3\)
Pattern: \(+1, +2, +3\)
Comparing the patterns found for each option:
Options 1, 2, and 3 all follow the same pattern where each consecutive letter is 2 positions ahead in the alphabet. Option 4 follows a different pattern where the difference increases by one each time.
Therefore, the group of odd letters is NOQT.
| Option | Letters | Positions | Differences | Pattern |
|---|---|---|---|---|
| 1 | FHJL | 6, 8, 10, 12 | +2, +2, +2 | Consistent +2 |
| 2 | RTVX | 18, 20, 22, 24 | +2, +2, +2 | Consistent +2 |
| 3 | BDFH | 2, 4, 6, 8 | +2, +2, +2 | Consistent +2 |
| 4 | NOQT | 14, 15, 17, 20 | +1, +2, +3 | Increasing difference |
Reviewing the analysis helps confirm the pattern for finding the odd letters. The majority follow a simple addition pattern, while one deviates.
Letter series questions often involve different types of patterns. Understanding these can help solve similar problems quickly. Some common patterns include:
Analyzing the differences in letter positions is a common and effective strategy for solving these types of reasoning questions.
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