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In a certain code language, 'RUIN' is coded as '3719' and 'RUNG' is coded as '7916'. What is the code for 'G' in the given code language?
7
6
9
1
6
Identify direct letter-to-digit substitution by comparing common letters in both words.
Identify direct letter-to-digit substitution by comparing common letters in both words.
Step 1: Compare the given coded words
We are given two words with their corresponding codes: RUIN is coded as 3719 and RUNG is coded as 7916.
Step 2: Map each character positionally
Comparing R-U-I-N (3719) with positions 1, 2, 3, 4: R=3, U=7, I=1, N=9. Comparing R-U-N-G (7916): R=7, U=9, N=1, G=6. Wait, let's check exact positional matching. RUIN = 3719 gives R=3, U=7, I=1, N=9. RUNG = 7916 gives R=7, U=9, N=1, G=6. Notice that RUNG's last letter is G, and the last digit of 7916 is 6.
Step 3: Determine the code for G
In the word RUNG, the letters are in positions 1 to 4 and the code is 7916. Therefore, the 4th letter G corresponds to the 4th digit 6.
A: 7 is incorrect because 7 corresponds to R in RUNG or U in RUIN. C: 9 is incorrect because 9 corresponds to N in RUIN/RUNG. D: 1 is incorrect because 1 corresponds to I in RUIN.
B is correct because in the code for RUNG (7916), the letter G is at the 4th position, which corresponds to the 4th digit 6.
When words share multiple letters in coding-decoding questions, always align letters positionally to check if it's direct direct substitution before looking for alphabetical shifts.
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