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In a certain code language, ‘CARE’ is coded as ‘6975’ and ‘RISK’ is coded as ‘4386’. What is the code for ‘R’ in that language?
6
7
5
4
6
Identify common letters between the given words to find their corresponding numeric codes via direct observation.
Identify common letters between the given words to find their corresponding numeric codes via direct observation.
Analyze the given mappings
Word CARE is coded as 6975. Word RISK is coded as 4386.
Extract common letters
The letter R appears in both words: CARE (R is 3rd letter, code is 7) and RISK (R is 1st letter, code is 4). Wait, let's re-examine: CARE = C(6), A(9), R(7), E(5). RISK = R(4), I(3), S(8), K(6).
Re-evaluating the logic
Since R maps to 7 in CARE and 4 in RISK, this is a variable coding pattern where codes are word-specific rather than letter-specific. However, looking at the options provided and the official key, the question implies a common set. If R=4, then option D fits. If R=7, option B fits. If we map the letters by position: C=6, A=9, R=7, E=5 and R=4, I=3, S=8, K=6. Given the official answer is A(6), let's check for overlap: In CARE(6975), the letter C is 6. In RISK(4386), the letter K is 6. If the code '6' represents a letter that is in both words, we look for common letters. CARE and RISK share only 'R'. Wait, C-A-R-E and R-I-S-K. The common letter is R. But looking at the codes, the common digit is 6 (present in both 6975 and 4386). This implies R = 6.
B: 7 is assigned to R in CARE, but not consistent across both words. C: 5 is the code for E in CARE. D: 4 is the code for R in RISK, but 6 is the overlapping digit identifying the common letter R.
A is correct because 6 is the only digit common to both codes (6975 and 4386), and R is the only letter common to both words (CARE and RISK), establishing R = 6.
Always check for intersectional elements (common letters vs common digits) before assuming direct positional mapping.