Find the next term of the following letter series :
KTE, SBM, AJU, IRC, ?

Question

Find the next term of the following letter series : 
 KTE, SBM, AJU, IRC, ?

Accepted Answer

To determine the next term in the letter series KTE, SBM, AJU, IRC, ?, we need to analyze the pattern in the series. Let's break down each term:

1. **KTE**: 
   - K is the 11th letter of the alphabet.
   - T is the 20th letter.
   - E is the 5th letter.

2. **SBM**: 
   - S is the 19th letter.
   - B is the 2nd letter.
   - M is the 13th letter.

3. **AJU**: 
   - A is the 1st letter.
   - J is the 10th letter.
   - U is the 21st letter.

4. **IRC**: 
   - I is the 9th letter.
   - R is the 18th letter.
   - C is the 3rd letter.

Now, let's identify the pattern:

- The first letters of each term (K, S, A, I) follow a pattern: 
  - K (11) to S (19) is +8.
  - S (19) to A (1) is +8 (considering the alphabet wraps around after Z).
  - A (1) to I (9) is +8.
  - Continuing this pattern, I (9) + 8 = Q (17).

- The second letters of each term (T, B, J, R) follow a pattern:
  - T (20) to B (2) is +8 (considering the alphabet wraps around after Z).
  - B (2) to J (10) is +8.
  - J (10) to R (18) is +8.
  - Continuing this pattern, R (18) + 8 = Z (26).

- The third letters of each term (E, M, U, C) follow a pattern:
  - E (5) to M (13) is +8.
  - M (13) to U (21) is +8.
  - U (21) to C (3) is +8 (considering the alphabet wraps around after Z).
  - Continuing this pattern, C (3) + 8 = K (11).

Thus, the next term in the series is QZK.

**Explanation of Options:**

1. **Option 1: QZL** - Incorrect because the third letter should be K, not L.
2. **Option 2: QZM** - Incorrect because the third letter should be K, not M.
3. **Option 3: QZN** - Incorrect because the third letter should be K, not N.
4. **Option 4: QZK** - Correct because it follows the identified pattern for each position in the series.

Therefore, the correct answer is Option 4: QZK.