Correct Option (3)
The coding scheme follows an alternating pattern of subtracting 1 and adding 1 to the alphabetical position of each letter. This sequence begins with a subtraction of 1.
- For the word 'MATHEMATICS' coded as 'LBSIDNZUHDR':
- M (13) - 1 = L (12)
- A (1) + 1 = B (2)
- T (20) - 1 = S (19)
- H (8) + 1 = I (9)
- E (5) - 1 = D (4)
- M (13) + 1 = N (14)
- A (1) - 1 = Z (26)
- T (20) + 1 = U (21)
- I (9) - 1 = H (8)
- C (3) + 1 = D (4)
- S (19) - 1 = R (18)
Applying this identical pattern to the word 'CHEMISTRY':
- C (3) - 1 = B (2)
- H (8) + 1 = I (9)
- E (5) - 1 = D (4)
- M (13) + 1 = N (14)
- I (9) - 1 = H (8)
- S (19) + 1 = T (20)
- T (20) - 1 = S (19)
- R (18) + 1 = S (19)
- Y (25) - 1 = X (24)
Thus, 'CHEMISTRY' is encoded as 'BIDNHTSSX'.
Incorrect Options:
Options 1, 2, and 4 are incorrect because they do not adhere to the established alternating -1, +1 coding pattern derived from the given example. Any deviation from this specific sequential transformation results in an invalid coded word for 'CHEMISTRY'.
