Complete the following series :
DG, HK, LO, PS, ?

Question

Complete the following series : 
 DG, HK, LO, PS, ?

Accepted Answer

To solve the series DG, HK, LO, PS, ?, we need to identify the pattern in the sequence of letters.

1. **Pattern Analysis:**
   - The series consists of pairs of letters.
   - Let's break down the pattern for each pair:

- **DG**: 
       - D is the 4th letter of the alphabet.
       - G is the 7th letter of the alphabet.
       - The difference between the positions of D and G is 3.

- **HK**: 
       - H is the 8th letter of the alphabet.
       - K is the 11th letter of the alphabet.
       - The difference between the positions of H and K is 3.

- **LO**: 
       - L is the 12th letter of the alphabet.
       - O is the 15th letter of the alphabet.
       - The difference between the positions of L and O is 3.

- **PS**: 
       - P is the 16th letter of the alphabet.
       - S is the 19th letter of the alphabet.
       - The difference between the positions of P and S is 3.

2. **Continuing the Pattern:**
   - Following the established pattern, the next pair should also have a difference of 3 between the positions of the letters.
   - After P (16th letter), the next letter is T (20th letter).
   - After S (19th letter), the next letter is W (23rd letter).

3. **Conclusion:**
   - Therefore, the next pair in the series is TW, which maintains the consistent pattern of a difference of 3 between the positions of the letters.

4. **Explanation of Incorrect Options:**
   - **Option 1 (QT):** 
     - Q is the 17th letter, and T is the 20th letter. The difference is 3, but it does not follow the sequence from PS.
   - **Option 2 (SV):** 
     - S is the 19th letter, and V is the 22nd letter. The difference is 3, but it does not follow the sequence from PS.
   - **Option 3 (UX):** 
     - U is the 21st letter, and X is the 24th letter. The difference is 3, but it does not follow the sequence from PS.

Thus, the correct answer is Option 4 (TW), as it logically follows the established pattern in the series.