If in a certain code language, 'MIND' is written as 'KGLB' and 'ARGUE' is written as 'YPESC', then 'DIAGRAM' will be written in same code as :

Question

Accepted Answer

To determine how 'DIAGRAM' is encoded in the given code language, we need to understand the pattern used to encode the words 'MIND' as 'KGLB' and 'ARGUE' as 'YPESC'.

### Explanation of the Code Pattern:

1. **MIND to KGLB:**
   - M (13) -> K (11): -2
   - I (9) -> G (7): -2
   - N (14) -> L (12): -2
   - D (4) -> B (2): -2

Each letter in 'MIND' is shifted two positions backward in the alphabet to get 'KGLB'.

2. **ARGUE to YPESC:**
   - A (1) -> Y (25): -2
   - R (18) -> P (16): -2
   - G (7) -> E (5): -2
   - U (21) -> S (19): -2
   - E (5) -> C (3): -2

Similarly, each letter in 'ARGUE' is shifted two positions backward to get 'YPESC'.

### Applying the Pattern to 'DIAGRAM':

- D (4) -> B (2): -2
- I (9) -> G (7): -2
- A (1) -> Y (25): -2
- G (7) -> E (5): -2
- R (18) -> P (16): -2
- A (1) -> Y (25): -2
- M (13) -> K (11): -2

Thus, 'DIAGRAM' is encoded as 'BGYEPYK'.

### Justification for Option 2:

- **Option 2: BGYEPYK** is the correct encoding of 'DIAGRAM' following the pattern of shifting each letter two positions backward in the alphabet.

### Explanation of Why Other Options are Incorrect:

1. **Option 1: BGYEYΡΚ**
   - This option incorrectly encodes the last three letters. The correct encoding should be 'PYK', not 'YΡΚ'.

2. **Option 3: GLPEYKB**
   - This option does not follow the consistent pattern of shifting each letter two positions backward. The letters do not match the correct encoded sequence.

3. **Option 4: BGEPYLK**
   - This option incorrectly encodes the sequence after the first two letters. The correct sequence should be 'YEPYK', not 'EPYLK'.

By following the consistent pattern of shifting each letter two positions backward, Option 2, 'BGYEPYK', is confirmed as the correct answer.