In a certain code, 'PAGES' is written as 'RDIHU' and 'WRITE' is written as 'YUKWG', then 'OTHER' will be written as in same code:

Question

Accepted Answer

To determine how 'OTHER' is encoded in the given code, we need to understand the pattern used to encode the words 'PAGES' as 'RDIHU' and 'WRITE' as 'YUKWG'. Let's analyze the pattern:

1. **PAGES to RDIHU:**
   - P (16) to R (18): +2
   - A (1) to D (4): +3
   - G (7) to I (9): +2
   - E (5) to H (8): +3
   - S (19) to U (21): +2

2. **WRITE to YUKWG:**
   - W (23) to Y (25): +2
   - R (18) to U (21): +3
   - I (9) to K (11): +2
   - T (20) to W (23): +3
   - E (5) to G (7): +2

From the above analysis, we can observe a pattern where the letters are alternately increased by +2 and +3.

Now, let's apply this pattern to 'OTHER':

- O (15) to Q (17): +2
- T (20) to W (23): +3
- H (8) to J (10): +2
- E (5) to H (8): +3
- R (18) to T (20): +2

Thus, 'OTHER' is encoded as 'QWJHT'.

**Explanation of Options:**

1. **Option 1: QWJHT** - This matches the pattern perfectly, as explained above, and is therefore the correct answer.

2. **Option 2: QWHJT** - This option incorrectly places 'H' and 'J', which does not follow the established pattern of alternating +2 and +3 shifts.

3. **Option 3: QWHTJ** - This option incorrectly places 'T' and 'J', which does not follow the established pattern of alternating +2 and +3 shifts.

4. **Option 4: QWTHJ** - This option incorrectly places 'T' and 'H', which does not follow the established pattern of alternating +2 and +3 shifts.

Therefore, Option 1 (QWJHT) is the correct answer, as it accurately follows the encoding pattern used in the examples provided.