Decoding the Word 'DANGER'

The problem asks us to find the coding pattern used for 'NATURE' $\rightarrow$ 'MASUQE' and 'CIRCLE' $\rightarrow$ 'BIQCKE', and then apply it to code the word 'DANGER'.

Identifying the Coding Pattern

Let's analyze the first example: NATURE $\rightarrow$ MASUQE

• The 1st letter N becomes M (N $\rightarrow$ M, which is N-1)
• The 2nd letter A remains A (A $\rightarrow$ A)
• The 3rd letter T becomes S (T $\rightarrow$ S, which is T-1)
• The 4th letter U remains U (U $\rightarrow$ U)
• The 5th letter R becomes Q (R $\rightarrow$ Q, which is R-1)
• The 6th letter E remains E (E $\rightarrow$ E)

The observed pattern is: subtract 1 from the letter at odd positions (1st, 3rd, 5th) and keep the letter the same for even positions (2nd, 4th, 6th).

This pattern seems consistent for NATURE.

Applying the Pattern to 'DANGER'

Let's apply the identified pattern (-1 for odd positions, 0 for even positions) to the word DANGER:

1. D (1st letter, odd position): D - 1 = C
2. A (2nd letter, even position): Keep A = A
3. N (3rd letter, odd position): N - 1 = M
4. G (4th letter, even position): Keep G = G
5. E (5th letter, odd position): E - 1 = D
6. R (6th letter, even position): Keep R = R

Combining these letters gives the code: CAMGDR.

Conclusion

The word 'DANGER' is coded as 'CAMGDR' using the alternating pattern of subtracting one and keeping the letter the same based on position.

This matches Option A.