Complete the following Series :
WE, SG, PJ, LN, IS, ?

Question

Accepted Answer

To solve the series and justify why Option 3 (EY) is the correct answer, let's analyze the pattern in the given series:

**Series:** WE, SG, PJ, LN, IS, ?

1. **Identify the Pattern:**
   - The series consists of pairs of letters. Let's break down the pattern for each pair:
     - **WE:** W is the 23rd letter, E is the 5th letter.
     - **SG:** S is the 19th letter, G is the 7th letter.
     - **PJ:** P is the 16th letter, J is the 10th letter.
     - **LN:** L is the 12th letter, N is the 14th letter.
     - **IS:** I is the 9th letter, S is the 19th letter.

2. **Determine the Rule:**
   - For the first letter of each pair: 
     - W (23) → S (19) → P (16) → L (12) → I (9)
     - The pattern is a decrement of 4, 3, 4, 3.
   - For the second letter of each pair:
     - E (5) → G (7) → J (10) → N (14) → S (19)
     - The pattern is an increment of 2, 3, 4, 5.

3. **Apply the Pattern to Find the Next Pair:**
   - For the first letter after I (9), decrement by 4:
     - I (9) - 4 = E (5)
   - For the second letter after S (19), increment by 6:
     - S (19) + 6 = Y (25)

4. **Conclusion:**
   - The next pair in the series is EY, which corresponds to Option 3.

**Explanation for Incorrect Options:**

- **Option 1 (FZ):** 
  - F (6) does not follow the decrement pattern from I (9), which should be E (5).
  - Z (26) does not follow the increment pattern from S (19), which should be Y (25).

- **Option 2 (FX):**
  - F (6) does not follow the decrement pattern from I (9), which should be E (5).
  - X (24) does not follow the increment pattern from S (19), which should be Y (25).

- **Option 4 (EX):**
  - E (5) correctly follows the decrement pattern from I (9).
  - X (24) does not follow the increment pattern from S (19), which should be Y (25).

Therefore, Option 3 (EY) is the correct answer as it perfectly follows the established pattern in the series.