To find the odd one out from the given sets of letters, we need to analyze the patterns in the sequences. Let's break down the steps:
### Step 1: Identify the letter sequences
The sequences provided are:
1. A: E, J, N, O
2. B: H, M, Q, R
3. C: K, P, S, U
4. D: N, S, W, X
### Step 2: Determine the position of each letter in the alphabet
- A: E (5), J (10), N (14), O (15)
- B: H (8), M (13), Q (17), R (18)
- C: K (11), P (16), S (19), U (21)
- D: N (14), S (19), W (23), X (24)
### Step 3: Calculate the differences between the positions
1. **For A:**
- E (5) to J (10): 10 - 5 = 5
- J (10) to N (14): 14 - 10 = 4
- N (14) to O (15): 15 - 14 = 1
- Differences: 5, 4, 1
2. **For B:**
- H (8) to M (13): 13 - 8 = 5
- M (13) to Q (17): 17 - 13 = 4
- Q (17) to R (18): 18 - 17 = 1
- Differences: 5, 4, 1
3. **For C:**
- K (11) to P (16): 16 - 11 = 5
- P (16) to S (19): 19 - 16 = 3
- S (19) to U (21): 21 - 19 = 2
- Differences: 5, 3, 2
4. **For D:**
- N (14) to S (19): 19 - 14 = 5
- S (19) to W (23): 23 - 19 = 4
- W (23) to X (24): 24 - 23 = 1
- Differences: 5, 4, 1
### Step 4: Analyze the differences
- Sequences A, B, and D all have the same pattern of differences: 5, 4, 1.
- Sequence C has a different pattern: 5, 3, 2.
### Conclusion
The odd one out is **C: K, P, S, U** because it does not follow the same difference pattern as the others.
