Question :
Options :
- YTB21
- YSZ21
- YTB20
- YSZ20
correct answer : c)
Explaination :
1. **TJM10**
2. ULP12
3. VNS14
4. WPV16
5. XRY18
6. ?
### Step 1: Analyze the Numbers
The numerical part is straightforward:
– 10, 12, 14, 16, 18 → Increases by 2 each time.
**Next number:** 18 + 2 = **20**.
### Step 2: Analyze the Letters
Break down each 3-letter cluster by position (1st, 2nd, 3rd letters):
#### **First Letters:** T, U, V, W, X, ?
– T (20), U (21), V (22), W (23), X (24)
**Pattern:** Consecutive letters (+1 each).
**Next:** X (24) → Y (25).
#### **Second Letters:** J, L, N, P, R, ?
– J (10), L (12), N (14), P (16), R (18)
**Pattern:** Skips one letter (+2 each).
**Next:** R (18) → T (20).
#### **Third Letters:** M, P, S, V, Y, ?
– M (13), P (16), S (19), V (22), Y (25)
**Pattern:** Skips two letters (+3 each).
**Next:** Y (25) + 3 = 28 → Wrap around (A=1, B=2, …, Z=26):
28 – 26 = 2 → **B**.
### Step 3: Construct the Next Cluster
– **Letters:** Y (1st), T (2nd), B (3rd) → **YTB**
– **Number:** 20
**Full cluster:** **YTB20**
### Step 4: Verify Against Options
Given options:
– YTB21
– YSZ21
– YTB20 ✅
– YSZ20
**Correct answer:** **YTB20**
### Why Other Options Fail:
1. **YTB21/YSZ21:** Incorrect number (must be 20).
2. **YSZ20:**
– Second letter should be T (not S).
– Third letter should be B (not Z).
### Final Answer:
**YTB20** is the correct next cluster in the series.
### Summary of Patterns:
| Position | Pattern | Example | Next |
|———-|—————————–|——————-|——-|
| 1st Letter | +1 (Consecutive) | T → U → V → W → X | Y |
| 2nd Letter | +2 (Skip one letter) | J → L → N → P → R | T |
| 3rd Letter | +3 (Skip two letters) | M → P → S → V → Y | B |
| Number | +2 | 10 → 12 → … → 18 | 20 |
Thus, the series continues as:
**TJM10, ULP12, VNS14, WPV16, XRY18, YTB20**.